Sonu buys 40 kg of wheat at ₹ 12.50 per kg and 30 kg of wheat at ₹ 14 per kg. At what rate per kg should he sell the mixture to gain 5% on the whole?
40 kg of wheat is bought for ₹12.50/kg.
∴ CP of 40 kg of wheat = 40 × 12.50 = ₹500
30 kg of wheat is bought for ₹14/kg.
∴ CP of 30 kg of wheat = 30 × 14 = ₹420
Total CP = ₹500 + ₹420 = ₹920
Profit $=5 \%$ of $\mathrm{CP}=5 \%$ of ₹ $920=\frac{5}{100} \times 920=₹ 46$
Let the SP be ₹x.
Profit = SP − CP
⇒ x − 920 = 46
⇒ x = ₹966
SP of 70 kg wheat = ₹966
$\therefore \mathrm{SP}$ of $1 \mathrm{~kg}$ wheat $=\frac{966}{70}=₹ 13.80$
Thus, the selling price of the mixture is ₹13.80/kg.
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