A trader sells a toy for 1134 after giving a 16% discount on its list price. Had he not given the discount, he would have earned a profit of 25%. If he decides to sell the toy for ₹1,179.36, then his profit percentage is:

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. 7.5%
  2. 8.4%
  3. 9.2%
  4. 8.5%

Answer (Detailed Solution Below)

Option 3 : 9.2%
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Given:

Selling Price after 16% discount = ₹1,134

Profit without discount = 25%

New Selling Price = ₹1,179.36

Formula used:

List Price (L) = Selling Price / (1 - Discount%)

Cost Price (C) = Selling Price without discount / (1 + Profit%)

New Profit % = ((New Selling Price - Cost Price) / Cost Price) × 100

Calculation:

⇒ List Price = 1,134 / 0.84

⇒ List Price = ₹1,350

⇒ Selling Price without discount = ₹1,350

⇒ Cost Price = 1,350 / 1.25

⇒ Cost Price = ₹1,080

⇒ New Profit % = ((1,179.36 - 1,080) / 1,080) × 100

⇒ = (99.36 / 1,080) × 100

⇒ = 9.2%

∴ The trader's profit percentage is 9.2%.

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