Question

A delar bought a pen drive for Rs 500.He sold it at 10% profit.If he want to make a profit. of 12.5% without increasing the selling price by how much should the cost price of pen drive be reduced?​

Answer 1

Given :

Cost price of pen drive : ₹500

Profit percentage : 10%

To find :

The cost price of the pen drive if it's sold at 12.5% and the selling price is same.

Solution :

First, we should find the selling price of the pen drive.

Selling price of pen drive :

$\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP$

$\sf \dashrightarrow \dfrac{(100 + 10)}{100} \times 500$

$\sf \dashrightarrow \dfrac{110}{100} \times 500$

$\sf \dashrightarrow \dfrac{11}{10} \times 500$

$\sf \dashrightarrow \dfrac{11 \times 500}{10} = \dfrac{5500}{10}$

$\sf \dashrightarrow \cancel \dfrac{5500}{100} = 550$

Now, as we know that the selling price is same. We can find the cost price of it's sold at 12.5 of profit with the same selling price.

New cost price of the pen drive :

$\sf \dashrightarrow \dfrac{100}{(100 + Profit\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 + 12.5)} \times 550$

$\sf \dashrightarrow \dfrac{100}{112.5} \times 550$

$\sf \dashrightarrow \dfrac{1000}{1125} \times 550$

$\sf \dashrightarrow \dfrac{8}{9} \times 550$

$\sf \dashrightarrow \dfrac{8 \times 550}{9} = \dfrac{4400}{9}$

$\sf \dashrightarrow \cancel \dfrac{4400}{9} = 488.88$

Hence, the cost price if it's sold at 12.5% of profit is ₹488.88.