150 kg of wheat is at Rs 7 per kg 50 kg is sold at 10 profit At what rate per kg the remaining need ...........

Quant (SSC) Mixture and Alligation

150 kg of wheat is at Rs 7 per kg. 50 kg is sold at 10% profit. At what rate per kg the remaining need to be sold so that there is a profit of 20% on the total price?

Rs 9.75

Rs 8.25

Rs 8.75

Rs 10.25

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Explanation:

Let remaining 100 kg at x%. so,
50 kg 100 kg
10% x%
. 20%
(x-20) 10
So (x-20)/10 = 50 kg/100 kg
Solve, x = 25%
100 kg costs = 100*7 = Rs 700
So at 25% profit SP of 100 kg is (125/100) * 700 = Rs 875
So SP of 1 kg = 875/100 = Rs. 8.75