How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
A) 36 Kg B) 42 Kg C) 54 Kg D) 63 Kg
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Correct option is D)
S.P. of 1 kg of mixture = Rs. 9.24
⇒ Gain of 10 %
∴ C.P. of 1 kg of mixture = Rs.(
110
100
×9.24) = Rs. 8.40
By the rule of alligation,
∴ Ratio of 1
st
&2
nd
kind=14:6=7:3
Let x kg of sugar of 1
st
be mixed with 27 kg of 2
nd
kind →
∴7:3=x:27
⇒x=
3
7×27
=63
Hence, 63 kg of sugar costing Rs.9 per kg must be mixed with 27 kg of sugar costing Rs.7 per kg, so that there may be gain of 10 % by selling the mixture at Rs.9.24 per kg
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