Gujarati
Hindi
7.Profit and Loss
medium

A manufacturer undertakes to supply $2000$ pieces of a particular component at $Rs.\, 25$ per piece. According to his estimates, even if $5 \%$ fail to pass the quality tests, then he will make a profit of $25 \% .$ However, as it turned out, $50 \%$ of the components were rejected. What is the loss to the manufacturer ? (in $Rs.$)

A

$12000$

B

$13000$

C

$14000$

D

$15000$

Solution

$S.P.$ of one piece $=Rs. 25$

$\therefore$ Total $S.P.$ $=2000 \times 25 ; \quad$ Profit $\%=25$

$5 \%$ failed in quality test

$\therefore \quad$ Net $S.P.$ $=\left(2000 \times \frac{95}{100}\right) \times 25=1900 \times 25$

$\therefore \quad$ Cost price $=\frac{100}{125} \times 1900 \times 25=Rs. 38000$

If $50 \%$ of components rejected,

So, loss incurred to manufacturer $=(38000-25 \times 1000)=Rs. 13000$

Standard 13
Quantitative Aptitude

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.