How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of suga

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Question

How many kilogram 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?

Options:

A . 36 kg

B . 42 kg

C . 54 kg

D . 63 kg

Answer: Option D

S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.

C.P. of 1 kg of mixture = Rs.

100
x 9.24

= Rs. 8.40
110

By the rule of allilation, we have:

C.P. of 1 kg sugar of 1^st kind
Cost of 1 kg sugar of 2^nd kind
Rs. 9
Mean Price
Rs. 8.40
Rs. 7
1.40
0.60

Ratio of quantities of 1^st and 2^nd kind = 14 : 6 = 7 : 3.

Let x kg of sugar of 1^st be mixed with 27 kg of 2^nd kind.

Then, 7 : 3 = x : 27

x =

7 x 27

= 63 kg.
3

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