Question : A cloth merchant has announced a 25% rebate on prices. If one needs to have a rebate of Rs. 40, then how many metres of clothing costing Rs. 32 per metre should he purchase?
Option 1: 6 m
Option 2: 5 m
Option 3: 10 m
Option 4: 7 m
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Correct Answer: 5 m
Solution :
Rebate in prices = 25%
The total amount reduced as rebate = Rs. 40
Let $x$ be the total price of the cloth purchased.
So, 25% of $x$ = Rs. 40
⇒ $x$ = 40 × 4 = Rs. 160
Price per metre = Rs. 32
So, the length of cloth purchased
= $\frac{\text{Total price of the cloth purchased}}{\text{Price per metre after discount}}$ = $\frac{160}{32}$ = 5 m
Hence, the correct answer is 5 m.
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