Question

(b) A, B and C start a business with the capital of Rs. 6,000, Rs. 8,000 and Rs. 9,000
respectively. After few months A invests Rs. 3,000 more in the business. At the end of
the year they gained Rs. 30,000 and Cgot Rs. 10,800 as share of profit. When did A
invest Rs. 3,000 more?​

Answer 1

Given:

Invested amount of A = Rs. 8000

Invested amount of B = Rs. 10000

Invested amount of C = Rs. 12000

B got = 25% of profit

Share of B = Rs. 4900

Calculation:

Investment ratio = 4 : 5 : 6

Let, the total profit amount = Rs. 100x

After giving the extra profit amount to B for management, remaining profit amount = 100x ─ (100x × 25%) = 75x

After dividing the remaining profit amount into the investment ratio,

Total share of B = 75x × (5/15) + 25x

According to the question,

⇒ 75x × (5/15) + 25x = 4900

⇒ x = 98

∴ Total profit amount = 100x = 100 × 98 = 9800

∴ Total share of A and C together = (9800 - 4900) = Rs. 4900