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In what ratio should sugar costing ₹52 per kg be mixed with sugar costing ₹73 per kg so that by selling the mixture at ₹87.1 per kg, there is a p
Question

In what ratio should sugar costing ₹52 per kg be mixed with sugar costing ₹73 per kg so that by selling the mixture at ₹87.1 per kg, there is a profit of 30%?

A.

13 : 5

B.

6 : 15

C.

14 : 8

D.

14 : 4

Correct option is B

Given:

Cheaper = ₹52/kg, Dearer = ₹73/kg, SP of mixture = ₹87.1/kg, Profit = 30%

Formula Used:

CP of mixture =SP1+Profit%=\dfrac{\text{SP}}{1+\text{Profit\%}}​​

Solution:

CP of mixture =87.11.30=67=\dfrac{87.1}{1.30} =67​​

Alligation: (₹52 : ₹73) = (73 − 67): (67 − 52) = 6 : 15

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