In what ratio water should be mixed with a liquid at Rs 12 per litre so that by selling the mixture at Rs 13.75 per litre, the seller gains 25%?

1 : 11

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1:15

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1 : 17

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1 : 13

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None of these

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Solution

The correct option is A 1 : 11
Gain =25%, S.P.=Rs 13.75 per litre
$∴$ C.P. of mixture = $\frac{100 \times 13.75}{100 + 25}$ =Rs 11 per litre

C.P.of water may be assumed as Rs 0 per litre
C.P.of liquid =Rs 12 per litre
By the rule of alligation, we have
$∴$ Water:Liquid =1:11

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In what ratio water should be mixed with a liquid at Rs 12 per litre so that by selling the mixture at Rs 13.75 per litre, the seller gains 25%?

The correct option is A 1 : 11Gain =25%, S.P.=Rs 13.75 per litre ∴ C.P. of mixture =100×13.75100+25=Rs 11 per litre C.P.of water may be assumed as Rs 0 per litre C.P.of liquid =Rs 12 per litre By the rule of alligation, we have ∴ Water:Liquid =1:11

The correct option is A 1 : 11
Gain =25%, S.P.=Rs 13.75 per litre
$∴$ C.P. of mixture = $\frac{100 \times 13.75}{100 + 25}$ =Rs 11 per litre

C.P.of water may be assumed as Rs 0 per litre
C.P.of liquid =Rs 12 per litre
By the rule of alligation, we have
$∴$ Water:Liquid =1:11