A cellphone was marked at 40% above the cost price and a discount of 30% was given on its marked price.
Question:
A cellphone was marked at 40% above the cost price and a discount of 30% was given on its marked price. Find the gain or loss per cent made by the shopkeeper.
Solution:
Let Rs 100 be the CP.
Then, marked price $=R s 140$
Discount $=30 \%$ of MP
$=\frac{30}{100} \times 140$
$=42$
Selling Price = marked price − discount
= 140 − 42
= Rs 98
Now, loss = CP − SP
= 100 − 98
= Rs 2
$\therefore$ Loss percentage $=\frac{\text { Loss } \times 100}{C P}$
$=\frac{2 \times 100}{100}$
$=2 \%$
Therefore, the shopkeeper had a loss of 2%.