As part of Diwali offer, a jeweller allows a discount of 15%. Even after giving the discount, he makes a profit of 6.25%. Rani
bought a gold chain which was marked at Rs5,000 from this jeweller. Find the cost price of the chain for the jeweller.
This questions was previously asked in
SSC CHSL 31st May 2022 Shift-2
Explanation:
- Discount Calculation: The marked price of the chain is Rs5,000. With a 15% discount, the selling price becomes Rs5,000 - (15% of Rs5,000) = Rs5,000 - Rs750 = Rs4,250.
- Profit Condition: The jeweller still makes a profit of 6.25% on the cost price. If C is the cost price, then C × 1.0625 = Rs4,250.
- Finding Cost Price: Solve for C: C = Rs4,250 / 1.0625 = Rs4,000.
- Option 1: Rs5,000 - This is the original marked price, not the cost price.
- Option 2: Rs4,400 - Incorrect cost price; does not satisfy profit condition.
- Option 3: Rs3,400 - Incorrect as it is less than the discounted price.
- Option 4: Rs4,000 - This is the correct cost price, meeting all conditions.
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