Ratio, Proportion, Ages & Partnership — Practice

Question 1

Divide ₹6,300 among A, B, C in the ratio 2:3:4. C's share is:
(a) ₹1,400  (b) ₹2,100  (c) ₹2,800  (d) ₹3,150

Accepted Answer

9k = 6,300 ⇒ k = 700; C = 4k = 2,800.

Answer: (c) ₹2,800.

Question 2

If a:b = 3:4 and b:c = 6:5, then a:c is:
(a) 3:5  (b) 9:10  (c) 18:20  (d) 9:20

Accepted Answer

Make b common (12): a:b:c = 9:12:10 ⇒ a:c = 9:10.

Answer: (b) 9:10.

Question 3

The ratio of present ages is 5:7; after 6 years it becomes 3:4. The present ages are:
(a) 25, 35  (b) 30, 42  (c) 20, 28  (d) 35, 49

Accepted Answer

(5k+6)/(7k+6) = 3/4 ⇒ 20k+24 = 21k+18 ⇒ k = 6 ⇒ 30 and 42.

Answer: (b) 30, 42.

Question 4

A invests ₹15,000 for 8 months, B ₹12,000 for 10 months. B's share of ₹9,600 profit is:
(a) ₹4,000  (b) ₹4,800  (c) ₹5,600  (d) ₹6,000

Accepted Answer

Ratio 15×8 : 12×10 = 120:120 = 1:1 ⇒ B = 4,800.

Answer: (b) ₹4,800.

Question 5

If 4:x = x:9, then x equals:
(a) 5  (b) 6  (c) 7  (d) 6.5

Accepted Answer

x² = 36 ⇒ x = 6 (mean proportional).

Answer: (b) 6.

Question 6

A and B invest equally. A, the working partner, gets 10% of profit as salary; the rest is split by capital. If total profit is ₹20,000, A's total is:
(a) ₹10,000  (b) ₹11,000  (c) ₹12,000  (d) ₹9,000

Accepted Answer

Salary = 10% of 20,000 = 2,000 to A. Remaining 18,000 split equally (equal capital) = 9,000 each. A = 2,000 + 9,000 = 11,000.

Answer: (b) ₹11,000.

Practice — Ratio, Proportion, Ages & Partnership

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