Discount Ques 7

Question

A shopkeeper purchased an artefact and marked its price up by $20 \%$. He sold the artefact to a customer after allowing a certain discount and made a profit of $10 \%$. Find the discount per cent given by the shopkeeper.

(1) $9 \frac{1}{3} \% $

(2) $8 \% $

(3) $8 \frac{1}{3} \% $

(4) $8 \frac{2}{3} \% $

(5) $6 \%$

(United Bank of India PGDBF Manipal Exam,07.08.2016)

Show Answer

Answer: (3)

Solution: (3)

Let the C.P. of artefact be Rs. 100.

$\therefore$ Its marked price $=$ Rs. 120

S.P. $=$ Rs. 110

$\therefore$ Discount Rs. $(120-110$ ) $=$ Rs. 10

Let the discount be $x \%$.

$\therefore \frac{x \times 120}{100}=10$

$\therefore x=\frac{1000}{120}=\frac{25}{3}=8 \frac{1}{3} \%$