Ratio and proportion
Ten quantitative aptitude questions, each marked as you answer.
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The incomes of P and Q are in the ratio 3 : 2 and their expenditures are in the ratio 9 : 5. If each saves ₹1,500 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 3x and 2x. (3x − 1,500) : (2x − 1,500) = 9 : 5 gives x = 2,000. P’s income = 3 × 2,000 = ₹6,000.
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The incomes of P and Q are in the ratio 3 : 8 and their expenditures are in the ratio 1 : 10. If each saves ₹11,000 a month, what is P’s monthly income?
Answer and working
Answer C
Incomes 3x and 8x. (3x − 11,000) : (8x − 11,000) = 1 : 10 gives x = 4,500. P’s income = 3 × 4,500 = ₹13,500.
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The incomes of P and Q are in the ratio 9 : 8 and their expenditures are in the ratio 7 : 6. If each saves ₹4,000 a month, what is P’s monthly income?
Answer and working
Answer B
Incomes 9x and 8x. (9x − 4,000) : (8x − 4,000) = 7 : 6 gives x = 2,000. P’s income = 9 × 2,000 = ₹18,000.
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What is the fourth proportional to 11, 22 and 264?
Answer and working
Answer D
11 : 22 = 264 : x, so x = 22 × 264 ÷ 11 = 528.
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What is the fourth proportional to 12, 5 and 336?
Answer and working
Answer C
12 : 5 = 336 : x, so x = 5 × 336 ÷ 12 = 140.
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What is the fourth proportional to 6, 18 and 150?
Answer and working
Answer A
6 : 18 = 150 : x, so x = 18 × 150 ÷ 6 = 450.
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The incomes of P and Q are in the ratio 4 : 9 and their expenditures are in the ratio 1 : 5. If each saves ₹11,000 a month, what is P’s monthly income?
Answer and working
Answer A
Incomes 4x and 9x. (4x − 11,000) : (9x − 11,000) = 1 : 5 gives x = 4,000. P’s income = 4 × 4,000 = ₹16,000.
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₹9,480 is divided among Meera, Arjun and Kavya in the ratio 2 : 5 : 1. What is Meera’s share?
Answer and working
Answer C
Total parts = 2 + 5 + 1 = 8. Meera gets 2/8 × 9,480 = ₹2,370.
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What is the fourth proportional to 3, 22 and 69?
Answer and working
Answer A
3 : 22 = 69 : x, so x = 22 × 69 ÷ 3 = 506.
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If A : B = 4 : 3 and B : C = 7 : 3, what is A : B : C?
Answer and working
Answer C
Make B the same in both: A : B = 28 : 21 and B : C = 21 : 9. So A : B : C = 28 : 21 : 9.
More quantitative aptitude: Percentages, Profit, loss and discount, Simple interest, Compound interest, Averages, Problems on ages.