Two persons A and B started a business with investments of Rs.24000 and Rs.28000 respectively. After 4 months C also joined them with certain investme

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Two persons A and B started a business with investments of Rs.24000 and Rs.28000 respectively. After 4 months C also joined them with certain investment. At the end of the year total profit was Rs. 19,950. C's share in profit was Rs.7600. What was the C's investment in the business?
1. 48000
2. 40000
3. 50000
4. 45000

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Correct Answer - Option 1 : 48000

Given:

Two persons A and B started a business with investments of Rs.24000 and Rs.28000 respectively. After 4 months C also joined them with certain investment. At the end of the year, total profit

was Rs. 19,950. C's share in profit was Rs.7600.

Calculation:

Total investment of A = Rs.24000 × 12

⇒ 288000

Total investment of B = Rs.28000 × 12

⇒ 336000

Let the investment of C be Rs. x

Total investment of C = Rs. x × 8

Ratio of profit (A + B + C) : C = 19950 : 7600

⇒ 21 : 8

According to question,

(288000 + 336000 + 8x)/8x = 21/8

⇒ x = 48000

∴ The investment of C in the business is Rs. 48000