Question

A dealer bought an item at 10% discount on its original price. He sold it at 35% above the original price. What percentage of profit he got?
a. (a)25%, (b)45%, (c)20%, (d)50%​

Answer 1

Given:

Discount dealer got on original price is $10\%$ and the dealer sold it at $35\%$ above the original price.

To find:

Percentage of profit dealer got.

Solution:

Let the original price of the item is ₹$100$.

It is given that the dealer bought the item at $10\%$ discount on the original price

⇒ Cost price $(CP)$ of item $=90\%(100)=$ ₹$90$

It is also given that dealer sold the item at  $35\%$ above the original price

⇒ Selling price $(SP)$ of item $135\%(100)=$ ₹$135$

Profit percentage, $P\%=\frac{SP-CP}{CP} \times 100\%$

$P\%=\frac{135-90}{90} \times\ 100\%$

$P\%=\frac{45}{90} \times\ 100\%=\frac{1}{2} \times\ 100\%$

$P\%=50\%$

Hence, percentage of profit the dealer got is $50\%$. Option (d) is correct answer.