Question

How many kilograms of wheat worth rs. 7.2 per kg should be mixed with 8 kg of wheat worth rs. 8.4 per kg, such that by selling the resulting mixture at rs. 9.60 per kg, there may be a gain of 20%?

Answer 1

Sol. S.P. of 1 kg mixture = Rs. 7.20,Gain = 20%.

? C.P. of 1 kg mixture = Rs.[(100/120)*7.20]=Rs. 6.

By the rule of allegation, we have:

C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind

(800p) . (540 p)

Mean price

( 600 p) . 60 200

Wheat of 1st kind: Wheat of 2nd kind = 60 : 200 = 3 : 10.

Let x kg of wheat of 1st kind be mixed with 36 kg of wheat of 2nd kind.

Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 10.8 kg