A, B and C started a business. A invested 33% of the total capital, B invested 33% of the remainingcapital and C, the remaining. If the total profit at the end of the year was ₹ 4,050, then find the amount by which the profit of C exceeds the profit of B. 

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  1. ₹900
  2. ₹700
  3. ₹ 520
  4. ₹675

Answer (Detailed Solution Below)

Option 1 : ₹900
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UP Police Constable हिंदी (मॉक टेस्ट)
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Detailed Solution

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Given:

A invested 331/3% of the total capital

B invested 331/3% of the remaining capital

C invested the remaining

Total profit = ₹4,050

Formula used:

Profit share ratio is proportional to the investment ratio

Calculation:

Let the total capital be ₹100

A's investment = 331/3% of ₹100 = ₹331/3

Remaining capital = ₹100 - ₹331/3 = ₹662/3

B's investment = 331/3% of ₹662/3 = ₹222/9

Remaining capital for C = ₹662/3 - ₹222/9 = ₹444/9

Investment ratio of A:B:C = ₹331/3 : ₹222/9 : ₹444/9

Convert to a common base:

A:B:C = 100/3 : 200/9 : 400/9

Converting to a common ratio:

A:B:C = 300:200:400

Total ratio = 300 + 200 + 400 = 900

Profit share of B = (200/900) × 4050 = ₹900

Profit share of C = (400/900) × 4050 = ₹1800

Difference in profit = ₹1800 - ₹900 = ₹900

∴ The correct answer is option (1).

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