A dairyman pays Rs., 6.40 per litre of milk. He adds water and sells mixture at Rs., 8 per litre, th

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7.Profit and Loss

medium

A dairyman pays $Rs.\, 6.40$ per litre of milk. He adds water and sells the mixture at $Rs.\, 8$ per litre, thereby making $37.5\%$ profit. The proportion of water to milk received by the customers is

A

$1: 10$

B

$1: 12$

C

$1:15$

D

$1:20$

Solution

Profit $=37.5 \%$

$C.P.$ $=6.4 ; \quad$ $S.P.$ $=8$

$\therefore$ Mean cost price $=\frac{100}{137.5} \times 8=Rs. \frac{64}{11}$

$\therefore \quad$ Required ratio $=\frac{64}{110}: \frac{64}{11}=1: 10$

Standard 13

Quantitative Aptitude

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