Question

how many kilograms of sugar costing Rs.5.10/kg must be mixed with 126 kg of sugar costing Rs.3.85/kg so that 20% may be gained by selling the mixture at Rs.4.80/kg

Answer 1

Answer:

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