Question

The cost price of a watch is as 500 . If a merchant wants to get 12.5 % profit by selling the watch, what will be the selling price ​

Answer 1

Answer:

Step-by-step explanation:

Hope this helps!!!

Answer 2

Answer :-

The Selling Price should be Rs.562.5

Explanation :-

Given :

The cost price of a watch = Rs.500

Profit % = 12.5%

To find :

The Selling Price to get 12.5% profit.

Solution :

$\star$ As we know :

${\boxed{\sf\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

$\sf{\implies} SP = \dfrac{100 + 12.5}{100} \times 500$

$\sf{\implies} SP = \dfrac{112.5}{100} \times 500$

$\sf{\implies} SP = \dfrac{56250}{100}$

$\sf{\implies} SP = 562.5$

$\boxed{\sf{\red{Selling \: Price = rs. \: 562.5}}}$

$\therefore$ The Selling Price should be Rs.562.5

Verification :-

As we got the Selling Price, we can now verify it by solving for Profit%

${\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}$

$\sf{\implies} \dfrac{562.5 - 500}{500} \times 100$

$\sf{\implies} \dfrac{62.5}{500} \times 100$

$\sf{\implies} \dfrac{6250}{500}$

$\sf{\implies}12.5\%$

$\therefore$ The Selling Price should be Rs.562.5