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A reduction of 10% in the price of cloth enables a man to buy 6 meters of cloth more for Rs. 2160. Find the reduced price and also the original price of cloth per meter.

a) Rs. 36, Rs. 40
b) Rs. 40, Rs. 36
c) Rs. 36, Rs. 44
d) Rs. 44, Rs. 36

Answer: a
Explanation: Money spent originally = Rs. 2160
Less money to be spent for now for the same length of cloth,
= 10% of 2160 = Rs. 216
It means Rs. 216 enables a man to buy 6 meters of cloth
Reduced price = $$\frac{{216}}{6}$$ = Rs. 36 per meter
Original price = $$\frac{{100 \times 36}}{{90}}$$   = Rs. 40 per meter

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