Question

Due to a rise of $12\%$ in the price of mangoes a dealer gets $27kg$ less for $Rs24750$. Find(a) The new price per kg of mangoes.(b) The original price per kg of mangoes (approximately).

Answer 1

Let us consider the problem.

Original price is Rs $x$ per. kg.

New price is Rs $1.12$$x$

since, Dealer gets $27$kg. less for Rs. $24750$ at new price.

hence,

$\frac{24750}{1.12x}+27=\frac{24750}{x}$

$\Rightarrow$ $\left(\frac{24750+30.2x}{1.12x}\right)=\frac{24750}{x}$

$\Rightarrow$ $24750+30.4x=24750\times 1.12$

$\Rightarrow$ $30.24x=27720-24750$

hence,

$x=\frac{2970}{30.24}=98.21$

There fore new price is Rs $98.21\times 1.12=$ Rs. $110$