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A shopkeeper advertises for selling cloth at 4% loss. However, by using a false metre scale he actually gains 25%. What is the actual length of scale?
- A70 cm
- B70.2 cm
- C76.8 cm
- D76 cm
Answer not set
Discussion 1
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CCommunity
Let C.P of 1 m cloth = Rs. 1
Professed S.P of 1 m cloth = Rs. 96/100 = Rs. 0.96 = Gain of 25%
Actual C.P of cloth sold for Rs. 0.96 $(= \frac{{100}}{{125}} \times 0.96 = {\rm{Rs}}.0.768)$
∴ Actual length of scale = Length bought for Rs. 0.768 = 76.8 cm
Professed S.P of 1 m cloth = Rs. 96/100 = Rs. 0.96 = Gain of 25%
Actual C.P of cloth sold for Rs. 0.96 $(= \frac{{100}}{{125}} \times 0.96 = {\rm{Rs}}.0.768)$
∴ Actual length of scale = Length bought for Rs. 0.768 = 76.8 cm