Question

A table was sold for $₹2142$ at a gain of $5\%$.At what price it should it be sold to gain $10\%$.

Answer 1

Selling price $=Rs.2142$

Gain $=5\%$

Let the cost price be $Rs.x$

$\therefore$ CP $=\frac{100}{100+\text{Profit}\%}\times SP$

$=\frac{100}{105}\times 2142$

$=Rs.2040$

So, the cost price of the table is $Rs.2040$

Now,

New gain $=10\%$

$\therefore$ SP $=\frac{100+\text{Profit}\%}{100}\times CP$

$=\frac{110}{100}\times 2040$

$=Rs.2244$

So, the shopkeeper should sell the table in $Rs.2244$ to get a gain of $10\%$