IUC AcademyHome721. 40% of 265 + 35% of 180 = 50% of?
- A. 84.5
- B. 169
- C. 253.5
- D. 338
Answer: 338
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722. 125% of 3060 – 85% of? = 408
- A. 3890
- B. 3940
- C. 4015
- D. 4020
Answer: 4020
723. 40% of 60% of 3 th 5 of a number is 504. What is 25% of 2 th 5 of that number?
- A. 175
- B. 180
- C. 350
- D. 360
Answer: 350
724. A country follows a progressive taxation system under which the income tax rate applicable varies for different slabs of income. Total tax is computed by calculating the tax for each slab and adding them up. The rates applicable are as follows: (M.A.T., 2005, 2006) Annual Income Slab (in ₹ ) Tax Rate Applicable 0 – 50,000 0% 50,001 – 60,000 10% 60,001 – 1,50,000 20% > 1,50,000 30% If my annual income is ₹ 1,70,000, then what is the tax payable by me?
- A. ₹ 17000
- B. ₹ 25000
- C. ₹ 34000
- D. ₹ 51000
Answer: ₹ 25000
Explanation: Tax on first ₹ 50000 = Nil. Tax on next ₹ 10000 = 10% of ₹ 10000 = ₹ 1000. Tax on next ₹ 90000 = 20% of ₹ 90000 = ₹ 18000. Tax on next ₹ 20000 = 30% of ₹ 20000 = ₹ 6000. ∴ Tax payable = ₹ (1000 + 18000 + 6000) = ₹ 25000.
Explanation: Tax on first ₹ 50000 = Nil. Tax on next ₹ 10000 = 10% of ₹ 10000 = ₹ 1000. Tax on next ₹ 90000 = 20% of ₹ 90000 = ₹ 18000. Tax on next ₹ 20000 = 30% of ₹ 20000 = ₹ 6000. ∴ Tax payable = ₹ (1000 + 18000 + 6000) = ₹ 25000.
725. A, B, C and D have ₹ 40, 50, 60 and 70 respectively when they go to visit a fair. A spends ₹ 18, B spends ₹ 21, C spends ₹ 24 and D spends ₹ 27. Who has done the highest expenditure proportionate to his resources?
- A. A
- B. B
- C. C
- D. D
Answer: A
726. A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
- A. 44
- B. 45
- C. 66
- D. 77
Answer: 66
727. In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there?
- A. 104
- B. 845
- C. 949
- D. 897
Answer: 949
Explanation: Number of sweets obtained by each student = 20% of 65 = 13. Number of sweets obtained by each teacher = 40% of 65 = 26. ∴ Total number of sweets = 65 × 13 + 4 × 26 = 845 + 104 = 949.
Explanation: Number of sweets obtained by each student = 20% of 65 = 13. Number of sweets obtained by each teacher = 40% of 65 = 26. ∴ Total number of sweets = 65 × 13 + 4 × 26 = 845 + 104 = 949.
728. Which one of the following shows the best percent-age?
- A. 384 540
- B. 425500
- C. 570 700
- D. 480660
Answer: 425500
729. Rajeev buys goods worth ₹ 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
- A. ₹ 6876.10
- B. ₹ 6999.20
- C. ₹ 6654
- D. ₹ 7000
Answer: ₹ 6876.10
730. How many litres of pure acid are there in 8 litres of a 20% solution?
- A. 1.4
- B. 1.5
- C. 1.6
- D. 2.4
Answer: 1.6
731. A housewife saved ₹ 2.50 in buying an item on sale. If she spent ₹ 25 for the item, approximately how much percent she saved in the transaction?
- A. 8%
- B. 9%
- C. 10%
- D. 11%
Answer: 9%
732. It costs ₹ 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
- A. ₹ 3920
- B. ₹ 3980
- C. ₹ 4900
- D. ₹ 4920
Answer: ₹ 4920
Explanation: Total cost = ₹ [1 × 1000 + (100 – 2)% of 1 × 4000] = ₹ (1000 + 0.98 × 4000) = ₹ (1000 + 3920) = ₹ 4920.
Explanation: Total cost = ₹ [1 × 1000 + (100 – 2)% of 1 × 4000] = ₹ (1000 + 0.98 × 4000) = ₹ (1000 + 3920) = ₹ 4920.
733. A shopkeeper sells note-books at the rate of ₹ 45 each and earns a commission of 4%. He also sells pencil boxes at the rate of ₹ 80 each and earns a commission of 20%. How much amount of commission will he earn in two weeks if he sells 10 note-books and 6 pencil boxes a day?
- A. ₹ 1496
- B. ₹ 1586
- C. ₹ 1596
- D. ₹ 1956
Answer: ₹ 1596
Explanation: Revenue obtained from sale of notebooks in 2 weeks = ₹ (45 × 10 × 14) = ₹ 6300. Revenue obtained from sale of pencil boxes in 2 weeks = ₹ (80 × 6 × 14) = ₹ 6720. ∴ Total commission earned = 4% of ₹ 6300 + 20% of ₹ 6720 = 252 + 1344 = 1596.
Explanation: Revenue obtained from sale of notebooks in 2 weeks = ₹ (45 × 10 × 14) = ₹ 6300. Revenue obtained from sale of pencil boxes in 2 weeks = ₹ (80 × 6 × 14) = ₹ 6720. ∴ Total commission earned = 4% of ₹ 6300 + 20% of ₹ 6720 = 252 + 1344 = 1596.
734. Kamal has 160 toffees. He gave 5% toffees to Ravi, 15% toffees to Anita and one-fourth of the toffees to Gagan. How many toffees are left with Kamal after the distribution?
- A. 78
- B. 69
- C. 88
- D. 79
Answer: 88
735. 1.14 expressed as a percent of 1.9 is
- A. 6%
- B. 10%
- C. 60%
- D. 90%
Answer: 60%
736. A toy merchant announces 25% rebate in prices of balls. If one needs to have a rebate of ₹ 40, then how many balls each costing ₹ 32, he should purchase?
- A. 5
- B. 6
- C. 7
- D. 10
Answer: 5
737. In two consecutive years, 100 and 75 students sat the final exam of a school, and 75% and 60% respectively passed. What is the average pass rate?
- A. 68 4/7%
- B. 78%
- C. 80%
- D. 80½%
Answer: 68 4/7%
738. The following table gives the income distribution of 200 households of a village: Monthly Income (in ₹ ) Number of Households < 1000 < 2000 < 5000 < 10000 25 80 170 200 What is the percentage of households whose monthly income is above ₹ 2000 but below ₹ 5000?
- A. 32.5
- B. 45
- C. 85
- D. 90
Answer: 45
739. An interval of 3 hours 40 minutes is wrongly estimated as 3 hours 45.5 minutes. The error percentage is
- A. 2.5
- B. 5
- C. 5.2
- D. 5.5
Answer: 2.5
740. A company pays rent of ₹ 25000 per month for office space to its owner. But if the company pays the annual rent at the beginning of the year the owner gives a discount of 5% on the total annual rent. What is the annual amount the company pays to the owner after the discount?
- A. ₹ 2,75,000
- B. ₹ 2,85,000
- C. ₹ 2,95,000
- D. ₹ 3,00,000
Answer: ₹ 2,85,000
741. 30% apples out of 450 are rotten. How many apples are in good condition?
- A. 125
- B. 180
- C. 240
- D. 315
Answer: 315
742. 5 kg of metal A and 20 kg of metal B are mixed to form an alloy. The percentage of metal A in the alloy is
- A. 20%
- B. 25%
- C. 40%
- D. None of these
Answer: 20%
743. A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon and 60% of the remaining rolls were sold between noon and closing time. How many dozen rolls were left unsold?
- A. 6
- B. 8
- C. 10
- D. 12
Answer: 8
744. The price for a pair of cuff links is ₹ 1.00. The price for a 5-pair package of cuff links is ₹ 3.40. The 5-pair package is what percent cheaper per pair than 5 pairs purchased separately?
- A. 32%
- B. 47%
- C. 62%
- D. 63%
Answer: 32%
745. What percent of a day is 3 hours?
- A. 12½%
- B. 16⅔%
- C. 18⅔%
- D. 22½%
Answer: 12½%
746. What percent of ₹ 2650 is ₹ 1987.50?
- A. 60%
- B. 75%
- C. 80%
- D. 90%
Answer: 75%
747. What percent of 7.2 kg is 18 gms?
- A. .025%
- B. .25%
- C. 2.5%
- D. 25%
Answer: .25%
748. A school's enrolment rises from 560 to 581. What is the percentage increase?
- A. 2.75%
- B. 3.25%
- C. 3.72%
- D. 3.75%
Answer: 3.75%
749. What percent is 1 minute and 12 seconds of an hour?
- A. 2%
- B. 10%
- C. 12%
- D. 20%
Answer: 2%
750. 0.01 is what percent of 0.1?
- A. 1 100
- B. 110
- C. 10
- D. 100
Answer: 10
751. What percent of 88 is 33?
- A. 34.5%
- B. 35.5%
- C. 36.5%
- D. 37.5%
Answer: 37.5%
752. I paid ₹ 27.20 as sales tax on a watch worth ₹ 340. Find the rate of sales tax.
- A. 8%
- B. 9%
- C. 10%
- D. 12%
Answer: 8%
753. The following table gives the marks obtained by a student in the first and second semester examinations in four subjects in a given year. Subjects 1st Semester 2nd Semester Maximum Marks Physics 35 30 50 Chemistry 30 25 50 Mathematics 65 45 100 Social Science 80 85 100 The aggregate percentage of marks obtained by the student in the given year is nearly
- A. 56
- B. 61
- C. 64
- D. 66
Answer: 66
754. The marks obtained by a student are given below. What is his total percentage in all the subjects? Subjects Total Marks Marks Obtained Mathematics 100 100 Science 100 84 Social Studies 100 67 English 50 25 Hindi 50 24
- A. 56%
- B. 68%
- C. 75%
- D. 80%
Answer: 75%
755. In an examination Sumit scores a total of 626 marks out of 850. What is his approximate percentage in the examination?
- A. 64
- B. 67
- C. 74
- D. 79
Answer: 74
756. 5 out of 2250 parts of earth is sulphur. What is the percentage of sulphur in earth?
- A. 11 50
- B. 29
- C. 1 45
- D. 245
Answer: 29
757. 270 candidates appeared for an examination, of which 252 passed. The pass percentage is:
- A. 80%
- B. 83½%
- C. 90 % 3 1
- D. 93⅓%
Answer: 93⅓%
758. 60% of 264 is the same as
- A. 10% of 44
- B. 15% of 1056
- C. 30% of 132
- D. None of these
Answer: 15% of 1056
759. Ten percent of twenty plus twenty percent of ten equals
- A. 10 percent of 20
- B. 20 percent of 10
- C. 1 percent of 200
- D. 2 percent of 200
Answer: 2 percent of 200
760. One-eighth of a number is 41.5. What will 69% of that number be?
- A. 219.12
- B. 225.76
- C. 229.08
- D. 232.4
Answer: 229.08
761. An agent sells goods of value of ₹ 15000. The commission which he receives at the rate of 12½% is
- A. ₹ 1875
- B. ₹ 2000
- C. ₹ 2125
- D. ₹ 2700
Answer: ₹ 1875
762. (0.56% of 225) × (3.25% of 430) =?
- A. 15.3195
- B. 15.6175
- C. 17.3075
- D. 17.6085
Answer: 17.6085
763. What is 28% of 36% of 5 th of 5000 ? 7
- A. 360
- B. 375
- C. 420
- D. 480
Answer: 360
764. What is 45% of 25% of 4 th of 850? 5
- A. 67.5
- B. 69.5
- C. 76.5
- D. 83.5
Answer: 76.5
765. (0.85% of 405) + (2.25% of 550) =?
- A. 13.8175
- B. 14.7125
- C. 15.7150
- D. None of these
Answer: None of these
766. (23.6% of 1254) – (16.6% of 834) =?
- A. 153.5
- B. 155.5
- C. 157.5
- D. 159.5
Answer: 157.5
767. (7.9% of 134) – (3.4% of 79) =?
- A. 7.3
- B. 7.8
- C. 8.1
- D. None of these
Answer: None of these
768. 140% of 56 + 56% of 140 =?
- A. 78.4
- B. 87.4
- C. 156.6
- D. None of these
Answer: None of these
769. 15% of 578 + 22.5% of 644 =?
- A. 231.4
- B. 231.6
- C. 231.8
- D. 233.6
Answer: 231.6
770. 45% of 300 + ? = 56% of 750 – 10% of 250
- A. 60
- B. 130
- C. 260
- D. 67600
Answer: 67600
771. 36% of 245 – 40% of 210 = 10 –?
- A. 4.2
- B. 4.9
- C. 5.6
- D. None of these
Answer: None of these
772. 10% of 5 and 5% of 10 add up to
- A. 0.10
- B. 0.25
- C. 1.0
- D. 2.5
Answer: 1.0
773. 2% of 2 =?
- A. 0.04
- B. 0.4
- C. 0.02
- D. 0.004
Answer: 0.04
774. 92.5% of 550 =?
- A. 506.45
- B. 508.75
- C. 518.55
- D. 521.65
Answer: 508.75
775. 280% of 3940 =?
- A. 10132
- B. 11032
- C. 11230
- D. 11320
Answer: 11032
776. (550% of 250) ÷ 275 =?
- A. 15
- B. 0.5
- C. 1.5
- D. None of these
Answer: None of these
777. 38% of 341 =?
- A. 120.68
- B. 129.58
- C. 135.78
- D. 136.28
Answer: 129.58
778. 12% of 5000 =?
- A. 600
- B. 620
- C. 680
- D. 720
Answer: 600
779. In an examination, 80% of the candidates passed in English, 70% passed in Mathematics and 15% failed in both subjects. What percent of the candidates passed in both subjects?
- A. 50%
- B. 55%
- C. 65%
- D. 70%
Answer: 65%
Explanation: Failed English 20%, failed Maths 30%, failed both 15%. Failed in at least one = 20 + 30 - 15 = 35%. Passed both = 100 - 35 = 65%. (80 + 70 - 100 = 50 wrongly assumes everyone passed at least one.)
Explanation: Failed English 20%, failed Maths 30%, failed both 15%. Failed in at least one = 20 + 30 - 15 = 35%. Passed both = 100 - 35 = 65%. (80 + 70 - 100 = 50 wrongly assumes everyone passed at least one.)
780. A salesman gets 5% commission on the first Rs 20,000 of sales and 8% on the sales above that. If he earned Rs 2,600 as commission in a month, his total sales for the month were:
- A. Rs 32,500
- B. Rs 45,000
- C. Rs 52,000
- D. Rs 40,000
Answer: Rs 40,000
Explanation: Commission on first 20,000 = Rs 1,000. Remaining Rs 1,600 is at 8%, i.e. sales above 20,000 = 1600/0.08 = 20,000. Total sales = Rs 40,000.
Explanation: Commission on first 20,000 = Rs 1,000. Remaining Rs 1,600 is at 8%, i.e. sales above 20,000 = 1600/0.08 = 20,000. Total sales = Rs 40,000.
781. In a town, 60% of the entire population is literate. If 70% of the males and 45% of the females are literate, what percent of the population is male?
- A. 55%
- B. 62.5%
- C. 60%
- D. 65%
Answer: 60%
Explanation: Let males = m (fraction). 0.70m + 0.45(1 - m) = 0.60, so 0.25m = 0.15 and m = 0.6 = 60%. Alligation: (60-45) : (70-60) = 15 : 10 = 3 : 2, so males = 3/5 = 60%.
Explanation: Let males = m (fraction). 0.70m + 0.45(1 - m) = 0.60, so 0.25m = 0.15 and m = 0.6 = 60%. Alligation: (60-45) : (70-60) = 15 : 10 = 3 : 2, so males = 3/5 = 60%.
782. The length of a rectangle is increased by 20%. By what percent must its breadth be decreased so that the area decreases by 10%?
- A. 20%
- B. 25%
- C. 30%
- D. 33 1/3%
Answer: 25%
Explanation: New area = 0.9 of old. 1.2 x (breadth factor) = 0.9, so breadth factor = 0.75, i.e. 25% decrease. (30% = 20 + 10 is a false additive shortcut.)
Explanation: New area = 0.9 of old. 1.2 x (breadth factor) = 0.9, so breadth factor = 0.75, i.e. 25% decrease. (30% = 20 + 10 is a false additive shortcut.)
783. The salary of A is 25% less than that of B, and the salary of C is 20% more than that of A. If C earns Rs 27,000, the total salary of A, B and C together is:
- A. Rs 79,500
- B. Rs 75,000
- C. Rs 76,500
- D. Rs 81,000
Answer: Rs 79,500
Explanation: C = 1.2 x A, so A = 27000/1.2 = 22,500. A = 0.75 B, so B = 22500/0.75 = 30,000. Total = 22500 + 30000 + 27000 = Rs 79,500.
Explanation: C = 1.2 x A, so A = 27000/1.2 = 22,500. A = 0.75 B, so B = 22500/0.75 = 30,000. Total = 22500 + 30000 + 27000 = Rs 79,500.
784. A is 40% more than B, and C is 25% less than A. By what percent is B less than C? (Choose the nearest exact value.)
- A. 4%
- B. 5%
- C. 15%
- D. 4 16/21%
Answer: 4 16/21%
Explanation: Let B = 100. A = 140; C = 0.75 x 140 = 105. B is less than C by 5, so required % = 5/105 x 100 = 4 16/21% (base is C, not B).
Explanation: Let B = 100. A = 140; C = 0.75 x 140 = 105. B is less than C by 5, so required % = 5/105 x 100 = 4 16/21% (base is C, not B).
785. In a class, 60% of the students are boys. 25% of the boys and 40% of the girls have scholarships. What percent of the class students do not have scholarships?
- A. 31%
- B. 32.5%
- C. 69%
- D. 67.5%
Answer: 69%
Explanation: Take 100 students: 60 boys, 40 girls. Scholars = 25% of 60 + 40% of 40 = 15 + 16 = 31. Without scholarships = 69%. (32.5% is the simple average of 25 and 40.)
Explanation: Take 100 students: 60 boys, 40 girls. Scholars = 25% of 60 + 40% of 40 = 15 + 16 = 31. Without scholarships = 69%. (32.5% is the simple average of 25 and 40.)
786. 30% of 40% of a number x is equal to 25% of 60% of another number y. Then x is what percent of y?
- A. 80%
- B. 125%
- C. 120%
- D. 150%
Answer: 125%
Explanation: 0.3 x 0.4 x = 0.25 x 0.6 y, so 0.12x = 0.15y. x/y = 0.15/0.12 = 1.25 = 125%. (80% is y as a percent of x.)
Explanation: 0.3 x 0.4 x = 0.25 x 0.6 y, so 0.12x = 0.15y. x/y = 0.15/0.12 = 1.25 = 125%. (80% is y as a percent of x.)
787. A tank is 3/5 full. 25% of the water is drawn out, and then water equal to 1/5 of the remaining water is poured in. The tank is now what percent full?
- A. 54%
- B. 45%
- C. 51%
- D. 60%
Answer: 54%
Explanation: 3/5 = 60%. After removing 25%: 60 x 0.75 = 45%. Adding 1/5 of 45 = 9: 45 + 9 = 54%. (Multiplier 0.75 x 1.2 = 0.9; 0.9 x 60 = 54.)
Explanation: 3/5 = 60%. After removing 25%: 60 x 0.75 = 45%. Adding 1/5 of 45 = 9: 45 + 9 = 54%. (Multiplier 0.75 x 1.2 = 0.9; 0.9 x 60 = 54.)
788. In a school there are 450 girls, and girls form 3/8 of all students. 3/5 of the boys and 2/3 of the girls take part in sports. How many students do not take part in sports?
- A. 300
- B. 500
- C. 450
- D. 750
Answer: 450
Explanation: Total = 450 x 8/3 = 1200; boys = 750. Participants: boys 3/5 x 750 = 450, girls 2/3 x 450 = 300, total 750. Non-participants = 1200 - 750 = 450. (As a fraction: 1 - (3/8 + 1/4) = 3/8 = 37.5%.)
Explanation: Total = 450 x 8/3 = 1200; boys = 750. Participants: boys 3/5 x 750 = 450, girls 2/3 x 450 = 300, total 750. Non-participants = 1200 - 750 = 450. (As a fraction: 1 - (3/8 + 1/4) = 3/8 = 37.5%.)
789. An exam has three papers of 200, 150 and 100 marks. To pass, a candidate needs at least 40% in every paper and at least 48% of the aggregate. A candidate scores 90 in Paper I and 66 in Paper II. The minimum marks needed in Paper III to pass are:
- A. 40
- B. 60
- C. 54
- D. 66
Answer: 60
Explanation: Total = 450; 48% of 450 = 216. Paper I (need 80) and II (need 60) are cleared. Required in III = 216 - (90 + 66) = 60, which exceeds the sectional minimum of 40. So 60.
Explanation: Total = 450; 48% of 450 = 216. Paper I (need 80) and II (need 60) are cleared. Required in III = 216 - (90 + 66) = 60, which exceeds the sectional minimum of 40. So 60.
790. A candidate who scores 30% of the maximum marks fails by 36 marks, while another candidate who scores 42% gets 24 marks more than the pass marks. The passing percentage is:
- A. 37.2%
- B. 36%
- C. 38%
- D. 40%
Answer: 37.2%
Explanation: Difference of 12% of max = 36 + 24 = 60, so max = 500. Pass marks = 30% of 500 + 36 = 186. Pass % = 186/500 x 100 = 37.2%.
Explanation: Difference of 12% of max = 36 + 24 = 60, so max = 500. Pass marks = 30% of 500 + 36 = 186. Pass % = 186/500 x 100 = 37.2%.
791. The share of a sector in a country's output rose from 18% to 22.5%. If p is the increase in percentage points and q is the percentage increase in the sector's share, then p + q equals:
- A. 4.5
- B. 24.5
- C. 25
- D. 29.5
Answer: 29.5
Explanation: p = 22.5 - 18 = 4.5 percentage points. q = 4.5/18 x 100 = 25%. So p + q = 29.5. (24.5 results from using 22.5 as the base for q.)
Explanation: p = 22.5 - 18 = 4.5 percentage points. q = 4.5/18 x 100 = 25%. So p + q = 29.5. (24.5 results from using 22.5 as the base for q.)
792. The literacy rate of a town rose from 62.5% to 70% while its population grew from 80,000 to 90,000. The number of literate persons increased by:
- A. 6,000
- B. 13,000
- C. 6,750
- D. 12,500
Answer: 13,000
Explanation: Earlier literates = 62.5% of 80000 = 50,000. Now = 70% of 90000 = 63,000. Increase = 13,000. The 7.5 percentage-point rise applied to one population (6,000 or 6,750) ignores the change in population.
Explanation: Earlier literates = 62.5% of 80000 = 50,000. Now = 70% of 90000 = 63,000. Increase = 13,000. The 7.5 percentage-point rise applied to one population (6,000 or 6,750) ignores the change in population.
793. The incomes of A and B are in the ratio 3 : 2. A spends 80% of his income and B spends 70% of his income. The total savings of A and B together form what percent of their combined income?
- A. 24%
- B. 22%
- C. 25%
- D. 26%
Answer: 24%
Explanation: Let incomes be 300 and 200. Savings: 20% of 300 = 60; 30% of 200 = 60. Total 120 out of 500 = 24%. (Simple average of 20% and 30% = 25% is wrong because incomes are unequal.)
Explanation: Let incomes be 300 and 200. Savings: 20% of 300 = 60; 30% of 200 = 60. Total 120 out of 500 = 24%. (Simple average of 20% and 30% = 25% is wrong because incomes are unequal.)
794. A person spends 25% of his monthly income on rent, then 20% of the remainder on food and then 10% of what is left on transport. He saves Rs 10,800, which is 20% of the amount left after these three expenses. His monthly income is:
- A. Rs 90,000
- B. Rs 1,08,000
- C. Rs 1,20,000
- D. Rs 1,00,000
Answer: Rs 1,00,000
Explanation: Left after the three expenses = 10800/0.2 = 54,000. Multiplier: 0.75 x 0.80 x 0.90 = 0.54. Income = 54000/0.54 = Rs 1,00,000. (Adding 25+20+10 = 55% gives 1,20,000.)
Explanation: Left after the three expenses = 10800/0.2 = 54,000. Multiplier: 0.75 x 0.80 x 0.90 = 0.54. Income = 54000/0.54 = Rs 1,00,000. (Adding 25+20+10 = 55% gives 1,20,000.)
795. A man spends 70% of his income. His income increases by 20% and his expenditure increases by 10%. The percentage increase in his savings is:
- A. 10%
- B. 40%
- C. 43 1/3%
- D. 50%
Answer: 43 1/3%
Explanation: Income 100, expenditure 70, savings 30. New income 120, new expenditure 77, savings 43. Increase = 13/30 x 100 = 43 1/3%.
Explanation: Income 100, expenditure 70, savings 30. New income 120, new expenditure 77, savings 43. Increase = 13/30 x 100 = 43 1/3%.
796. In a constituency there are 25,000 registered voters. 20% of them did not vote and 5% of the votes cast were invalid. Of the valid votes, candidate A got 40%, candidate B got 35% and candidate C the rest. By how many votes did A beat C?
- A. 2,850
- B. 3,000
- C. 3,250
- D. 3,750
Answer: 2,850
Explanation: Votes cast = 20000; valid = 95% of 20000 = 19000. C got 100 - 40 - 35 = 25%. A - C = 15% of 19000 = 2,850. (15% of 20000 = 3000 forgets invalid votes.)
Explanation: Votes cast = 20000; valid = 95% of 20000 = 19000. C got 100 - 40 - 35 = 25%. A - C = 15% of 19000 = 2,850. (15% of 20000 = 3000 forgets invalid votes.)
797. In an election between two candidates, 15% of the votes polled were invalid. The winner got 60% of the valid votes and won by 2,550 votes. The total number of votes polled was:
- A. 12,750
- B. 17,000
- C. 18,000
- D. 15,000
Answer: 15,000
Explanation: Margin = 60% - 40% = 20% of valid votes = 2550, so valid votes = 12,750. Valid = 85% of total, so total = 12750/0.85 = 15,000. (12,750 is only the valid votes.)
Explanation: Margin = 60% - 40% = 20% of valid votes = 2550, so valid votes = 12,750. Valid = 85% of total, so total = 12750/0.85 = 15,000. (12,750 is only the valid votes.)
798. A household spends Rs 6,000 a month on tea and Rs 4,000 on coffee. The price of tea rises by 25% and that of coffee falls by 25%. If the household keeps coffee consumption unchanged, by what percent must it cut tea consumption so that the total monthly spending stays at Rs 10,000?
- A. 5%
- B. 8 1/3%
- C. 6 2/3%
- D. 10%
Answer: 6 2/3%
Explanation: Coffee now costs 4000 x 0.75 = 3000, so tea may cost 7000. Same tea quantity would cost 6000 x 1.25 = 7500. Consumption ratio = 7000/7500 = 14/15, a cut of 1/15 = 6 2/3%.
Explanation: Coffee now costs 4000 x 0.75 = 3000, so tea may cost 7000. Same tea quantity would cost 6000 x 1.25 = 7500. Consumption ratio = 7000/7500 = 14/15, a cut of 1/15 = 6 2/3%.
799. The price of petrol rose by 20% in January and by a further 25% in June. By what percent must a person reduce petrol consumption so that the expenditure on petrol remains unchanged?
- A. 30%
- B. 33 1/3%
- C. 37 1/2%
- D. 45%
Answer: 33 1/3%
Explanation: Net price rise: 1.2 x 1.25 = 1.5, i.e. 50% (not 45%). Reduction = 50/(100+50) x 100 = 33 1/3%.
Explanation: Net price rise: 1.2 x 1.25 = 1.5, i.e. 50% (not 45%). Reduction = 50/(100+50) x 100 = 33 1/3%.
800. The price of a commodity rises by 40%. A family increases its expenditure on it by only 12%. By what percent has the family reduced its consumption?
- A. 16%
- B. 25%
- C. 28%
- D. 20%
Answer: 20%
Explanation: Expenditure = price x consumption. New consumption/old = 1.12/1.40 = 0.8. So consumption falls by 20%. (40 - 12 = 28% is a common wrong shortcut.)
Explanation: Expenditure = price x consumption. New consumption/old = 1.12/1.40 = 0.8. So consumption falls by 20%. (40 - 12 = 28% is a common wrong shortcut.)