How many kg of sugar costing ₹45 per kg must be mixed with 30 kg sugar costing ₹35 per kg so that there may be a gain of 12% by selling the mixture at ₹47.04 per kg ?
Answer & explanation
Correct answer: option 1
The correct answer is option (1) : 70 kg
Let the C.P of mixture be ₹ x per kg
Given S.P = ₹ 47.04
Profit = 12%
$S.P= C.P+profit$
$47.04= x +12$% of x
$x=\frac{4704}{112}$
$= 42 $
Given $c= ₹35/kg$
$d= ₹45/kg$
$m= ₹42/kg$
quantity of cheaper sugar $= 30 kg $
$∴\frac{\text{quantity of cheaper sugar}}{\text{quantity of dearer sugar}}=\frac{45-12}{42-35}$
$\frac{30}{\text{quantity of dearer sugar}}=\frac{3}{7}$
quantity of dearer sugar $= 70 \, kg $
Hence, 70 kg of sugar costing ₹45 per kg should be mixed.