A and B started a partnership business investing in the ratio of 7 ∶

1.	A and B started a partnership business investing in the ratio of 7 ∶ 10. C joined them after 6 months with an amount equal to (4/5)th of B. If C got Rs. 42,000 as his share, then what was their profit (in Rs.) at the end of the year?1. Rs. 2,25,0002. Rs. 2,20,5003. Rs. 2,20,0004. Rs. 2,50,000
Answer» Correct Answer - Option 2 : Rs. 2,20,500 Given: A and B started a partnership business investing in the ratio of 7 ∶ 10. C joined them after 6 months with an amount equal to (4/5)th of B. C's profit = Rs. 42,000 Concept used: Divide the total profit according to investment ratio. Calculations: Let A’s investment be Rs. 7x and B’s investment be Rs. 10x Then C’s investment = Rs. 10x × (4/5) = Rs. 8x Ratio of their equivalent capitals for 1 month = (7x × 12) ∶ (10x × 12) ∶ (8x × 6) ⇒ 84 ∶ 120 ∶ 48 = 7 ∶ 10 ∶ 4 Let the ratio be 7k, 10k and 4k and total profit be y. Then C's share = [4k/(21k)] × y But according to question (4y/21) = 42,000 ⇒ y = Rs. 220500 ∴ Their profit at the end of the year was Rs. 2,20,500.

A and B started a partnership business investing in the ratio of 7 ∶ 10. C joined them after 6 months with an amount equal to (4/5)th of B. If C got Rs. 42,000 as his share, then what was their profit (in Rs.) at the end of the year?1. Rs. 2,25,0002. Rs. 2,20,5003. Rs. 2,20,0004. Rs. 2,50,000

Answer» Correct Answer - Option 2 : Rs. 2,20,500

Given:

A and B started a partnership business investing in the ratio of 7 ∶ 10. C joined them after 6 months with an amount equal to (4/5)th of B.

C's profit = Rs. 42,000

Concept used:

Divide the total profit according to investment ratio.

Calculations:

Let A’s investment be Rs. 7x and B’s investment be Rs. 10x

Then C’s investment = Rs. 10x × (4/5) = Rs. 8x

Ratio of their equivalent capitals for 1 month = (7x × 12) ∶ (10x × 12) ∶ (8x × 6)

⇒ 84 ∶ 120 ∶ 48 = 7 ∶ 10 ∶ 4

Let the ratio be 7k, 10k and 4k and total profit be y.

Then C's share = [4k/(21k)] × y

But according to question (4y/21) = 42,000

⇒ y = Rs. 220500

∴ Their profit at the end of the year was Rs. 2,20,500.