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In what ratio should sugar costing ₹64 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹70.8 per kg, there is a p
Question

In what ratio should sugar costing ₹64 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹70.8 per kg, there is a profit of 20%?

A.

37 : 5

B.

38 : 3

C.

36 : 3

D.

35 : 6

Correct option is A

Given:

Cost price of sugar A = ₹64/kg

Cost price of sugar B = ₹22/kg

Selling price of mixture = ₹70.80/kg

Profit on the mixture = 20%

Formula Used:

Selling Price (SP) = Cost Price (CP) × (1 + Profit%)

Solution:

Cost Price of the mixture

CPmixture=70.801.20=59.00 per kg\text{CP}_{\text{mixture}} = \frac{70.80}{1.20} = ₹59.00 \text{ per kg}

Apply alligation rule:

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