Question 90

A dishonest milkman buys milk at Rs 25 per litre and adds 1/5 of water to it and sells the mixture at Rs 29 per litre. His gain is

Solution

The milkman adds $$(\frac{1}{5})^{th}$$ of water, thus total mixture = $$1+\frac{1}{5} = \frac{6}{5}$$

Cost price per litre of the mixture = $$\frac{25}{\frac{6}{5}} = 25 \times \frac{5}{6} = Rs$$ $$20.83$$

Selling price per litre = Rs. 29

$$\therefore$$ Profit % = $$\frac{29-20.83}{20.83} \times 100$$

= $$\frac{817}{20.83} \approx 39.2\%$$

=> Ans - (B)

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