The marked price of an article is ₹150. The shopkeeper offers a discount of 20% on the purchase of the article. Thereby, he makes a profit of 25%. The cost price of the article is:

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RRB Group D 17 Sept 2022 Shift 3 Official Paper
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  1. ₹96
  2. ₹72
  3. ₹120
  4. ₹144

Answer (Detailed Solution Below)

Option 1 : ₹96
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Detailed Solution

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Given:

Marked price of an article = ₹150

Discount = 20%

Profit = 25%

Calculation:

According to the question,

80% of 150 = 125% of C.P

⇒ 0.8 × 150 = 1.25 × C.P

⇒ 120 = 1.25 C.P

⇒ C.P = \(\frac{120}{1.25}\) = ₹ 96

∴ The cost price of the article is ₹ 96.

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