Question

A tradesman allows a discount of 1$5$ on the written price. How much above the cost price should he mark his goods to make a profit of $19$?

• A. $20$
• B. $40$
• C. $30$
• D. $25$

Answer 1

The correct option is B $40$

Let us take the C.P. $=Rs100$.

$\therefore$ S.P. at 19% gain $=Rs.(100+19)=Rs.119$ ...........(i).

Let theM.P. $=Rs.x$.

Then, the S.P. at a discount of 15% $=x-x\times \frac{15}{100}=\frac{17x}{20}$ .............(ii).

Comparing (i) & (ii),

$\frac{17x}{20}=119⟹x=\frac{20}{17}\times 119⟹x=Rs.140$.

So, the $M.P.=Rs.140$ and the $C.P.=100.$

The increament in price in order to get $19\%$ profit $=Rs.(140-100)=Rs40=40\%$.

(Since the C.P.=Rs100)