Question

A started a business with a capital of Rs. 500000. After 4 months B joined with a capital of Rs. 800000. After further two months C joined with a capital of Rs. 80000. Find the ratio of their profits after 1 year.
1. 75 : 80 : 6
2. 89 : 100 : 13
3. 64 : 9 : 19
4. 77 : 81 : 16

Answer 1

Correct Answer - Option 1 : 75 : 80 : 6

Given:

A invested = Rs. 500000 for 12 months

B invested = Rs. 800000 for 8 months

C invested = Rs. 80000 for 6 months

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Person	A	B	C
Amount	500000	800000	80000
Time	12	8	6

Required ratio = 50 × 12 ∶ 80 × 8 ∶ 8 × 6

⇒ 75 ∶ 80 ∶ 6

∴ The ratio of their profits after 1 years is 75 ∶ 80 ∶ 6.