A man sells a good at 5% profit. If he had sold it at a 10% profit, he would have received ₹175 more. What is the selling price of the good?

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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 09 Aug, 2023 Shift 1)
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  1. ₹3,750
  2. ₹3,850
  3. ₹3,675
  4. ₹3,500

Answer (Detailed Solution Below)

Option 3 : ₹3,675
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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100 Questions 200 Marks 60 Mins

Detailed Solution

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Given:

Profit % = 5%

Concept used:

Cost price is always constant.

If profit is P% then,

C.P : S.P = 100 : (100 + P%) 

Where C.P = cost price

and S.P = Selling price

Calculation:

Profit % = 5%

C.P : S.P = 100 : 105

Now, profit is changes to 10%

C.P : S.P = 100 : 110

According to the question:

⇒ (110 - 105) = 5 units = 175

⇒ 1 unit = 175/5 = 35

⇒ 100 units = 3500

Selling Price of the good = 105 × 35

⇒ Rs. 3675

∴ The correct answer is 3675.

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