SSC GD 2019 PYQ — Question 75

SSC GD Constable (English) - 18 Feb 2019 Shift 2 • Quantitative Aptitude • Q75

Three persons A, B and C started a business with their shares in the ratio 3 : 4: 5. After 4 months B with drew his 50% share and C with drew his 20% share 4 months prior to completion of the year. If total profit in the year is Rs. 31,000 then find the share of A in the profit.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Rs. 9000.

Understanding/Application

Let shares of A, B and C respectively be 3x, 4x and 5x.

Ratio of profit = (3x × 12) : [(4x × 4) + (2x × 8)] : [(5x × 8) + (4x × 4)]

= 36x : 32x : 56x

Total profit = Rs. 31000

A's profit share = (9 × 31000)/(9 + 8 + 14) = Rs. 9000