A shopkeeper sells an item for Rs492 after allowing 18% discount on its marked price. Had he NOT allowed any discount, he
would have earned a profit of 20% on the cost price. What is the cost price of the item ?
This questions was previously asked in
SSC CGL 7 June 2019 Shift-2
Explanation:
- The item is sold for Rs492 with an 18% discount.
- Let the marked price be MP. So, 82% of MP = 492, i.e., MP = 492 / 0.82 = Rs600.
- If no discount, the shopkeeper would sell at MP = Rs600.
- Without discount, profit is 20% on cost price (CP).
- Therefore, CP + 20% of CP = 600.
- This implies 1.2 * CP = 600.
- Solving for CP gives CP = 600 / 1.2 = Rs500.
- Answer: Rs500
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