SSC CGL 2022 PYQ — Question 55

SSC CGL - 11 April 2022 - Shift 2 • Quantitative Aptitude • Q55

A, B and C started a business in partnership. Initially, A invested Rs 29,000, while B and C invested Rs 25,000 each. After 4 months, A withdrew Rs 3,000. After 2 more months, C invested Rs 12,000 more. Find the share of C (in Rs) in the profit of Rs 33,200 at the end of the year.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12,400

Explanation:

A invested Rs. 29,000, while B and C invested Rs. 25,000 each.

After 4 months, A withdrew Rs. 3,000.

After 6 months from the initial date, C invested Rs. 12,000 more in the business.

Total profit = Rs. 33200

Ratio of A, B, and C = [(29000 × 4) + (26000 × 8)] : (25000 × 12) : [(25000 × 6) + (37000 × 6)]

= (116000 + 208000) : 300000 : (150000 + 222000)

= 324000 : 300000 : 372000

= 27 : 25 : 31

The ratio of investment is equal to the ratio of profit.

The profit of C = 318331 \over 83 × 33200 = Rs. 12400