Question

By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, Find the cost per kg of the larger quantity ?

Answer 1

Cost Price of $5$ kg $=$ Rs.$(14\times 2+x\times 3)=(28+3x)$.Sell price of $5$ kg $=$ Rs. $(22\times 5)=$Rs. $110.$

$\left[\frac{110-(28+3x)}{(28+3x)}\right]\times 100=10$

$\frac{82-3x}{28+3x}=\frac{1}{10}$

$\Rightarrow 820-30x=28+3x$

$\Rightarrow 33x=792$

$\Rightarrow x=\frac{792}{33}=24$