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7.Profit and Loss
medium
A shopkeeper bought $30\, Kg$ of wheat at the rate of $Rs.\,45$ per $Kg.$ He sold $40\%$ of the total quantity at the rate of $Rs.\,50$ per $Kg.$ Approximately, at what price per $Kg$ should he sell the remaining quantity to make $25$ percent overall profit? (in $Rs.$)
A
$54$
B
$52$
C
$50$
D
$60$
Solution
dost price of $30 Kg$ wheat $=30 \times 45=₹ 1350$
Cost price of $30 Kg$ wheat $+25 \%$ profit $=$ Selling Price
$=1350 \times 1.25=₹ 1687.50$
$40 \%$ of $30 Kg$ wheat $=30 \times 0.40=12 Kg$
Selling price of $12\, Kg$ wheat
$=12 \times 50=₹ 600$
Remaining $18\, Kg$ wheat's selling price
$=1687.50-600$
$=₹ 1087.50$
$\therefore \quad$ Selling price of $1\, Kg$ wheat $=\frac{1087.50}{18}=60.4\, kg$
Standard 13
Quantitative Aptitude
