Question

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

Answer 1

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