Question:
A shop gives 15% discount on the purchase of a T.V. If paid for in cash immediately, a further discount of 12% is given. If the marked price is Rs. 15,000, what is the price of the T.V if cash purchase is made?
A shop gives 15% discount on the purchase of a T.V. If paid for in cash immediately, a further discount of 12% is given. If the marked price is Rs. 15,000, what is the price of the T.V if cash purchase is made?
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To calculate the final price after multiple discounts, apply each discount sequentially on the reduced price.
Updated On: Aug 18, 2025
- Rs. 12,750
- Rs. 11,220
- Rs. 10,950
- Rs. 11,475
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The Correct Option is B
Solution and Explanation
The total discount is the combined effect of two discounts: 15% and 12%. First, apply the 15% discount on the marked price:
\[
\text{Price after 15% discount} = 15000 \times (1 - 0.15) = 15000 \times 0.85 = 12750
\]
Next, apply the 12% discount on this new price:
\[
\text{Price after 12% discount} = 12750 \times (1 - 0.12) = 12750 \times 0.88 = 11220
\]
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