A started a business with a capital of Rs. 63000. He decreased his capital by Rs. 15000 after 4 months. B invested when A decreased his capital and B

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A started a business with a capital of Rs. 63000. He decreased his capital by Rs. 15000 after 4 months. B invested when A decreased his capital and B invested a capital of Rs. 88,000. Find the ratio of their profits after 1 year.
1. 176 : 176
2. 163 : 176
3. 159 : 176
4. 159 : 174

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Correct Answer - Option 3 : 159 : 176

Given:

A invested = Rs. 63000 and decreased by Rs. 15000 after 4 months

B invested = Rs. 88000 when A decreased his capital

Formula:

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

Calculation:

 Person A B Amount 63000 and 48000 88000 Time 4 and 8 8

Total money invested by A = 63000 × 4 + 48000 × 8

Total money invested by B = 88000 × 8

Required ratio = 63 × 1 + 48 × 2 ∶ 88 × 2

⇒ 63 + 96 ∶ 176

⇒ 159 ∶ 176

The ratio of their profit after 1 year is 159 176.