Mohan starts a business with a capital of ₹1,70,000. He incurs a loss of 4% during the first year. But he makes a profit of 5% during the second year on his remaining investment. Finally, he makes a profit of 25% on his new capital during the third year. Find his total profit at the end of three years.

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  1. ₹42,200
  2. ₹45,200
  3. ₹44,200
  4. ₹43,200

Answer (Detailed Solution Below)

Option 3 : ₹44,200
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Detailed Solution

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Given:

Initial capital = ₹1,70,000

Loss in the first year = 4%

Profit in the second year = 5%

Profit in the third year = 25%

Formula Used:

Remaining Capital after loss/profit = Initial Capital × (1 ± loss/profit percentage)

Total Profit = Final Capital - Initial Capital

Calculation:

Capital after first year = ₹1,70,000 × (1 - 4/100)

⇒ ₹1,70,000 × 0.96

⇒ ₹1,63,200

Capital after second year = ₹1,63,200 × (1 + 5/100)

⇒ ₹1,63,200 × 1.05

⇒ ₹1,71,360

Capital after third year = ₹1,71,360 × (1 + 25/100)

⇒ ₹1,71,360 × 1.25

⇒ ₹2,14,200

Total Profit = ₹2,14,200 - ₹1,70,000

⇒ ₹44,200

The total profit at the end of three years is ₹44,200.

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