Question

$\begin{gathered}{\Huge{\textsf{\textbf{\underline{\underline{\purple{Question:}}}}}}}\end{gathered}$
● Rohan sold two watches to Sai for Rs. 891 each. He made a profit of 10% on one watch and a loss of 10% on the other. How much profit or loss did he make on the whole?


● Copied/Spam Answer will be reported on the spot
● Need Full Explanation ​

Answer 1

Step-by-step explanation:

mark as brainlist

mark as t

Answer 2

$\sf{\huge{\underline{\green{Given :-}}}}$

• Rohan sold two watches to Sai for Rs. 891 each.

• He made a profit of 10% on one watch .

• A loss of 10% on the other.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The profit or loss did he make on the whole .

$\sf{\huge{\underline{\green{Answer :-}}}}$

The S.P. of two watches x & y is = Rs. 891

He made a profit on first watch = 10%

He made a loss on second watch = 10%

Case 1 :-

Let the C.P. of the first watch x ,

The profit = 10%

➝ C.P. = $\dfrac{S.P. \times 100 }{100 + Profit \%}$

➝ C.P. = $\dfrac{891 \times 100 }{100 + 10}$

➝ C.P. = $\dfrac{89100 }{110}$

➝ C.P. = $\dfrac{89100 }{110}$

➝ C.P. = 810

Case 2 :-

Let the C.P. of the first watch x ,

The loss = 10%

➝ C.P. = $\dfrac{S.P. \times 100 }{100 + Profit \%}$

➝ C.P. = $\dfrac{891 \times 100 }{100 - 10}$

➝ C.P. = $\dfrac{89100 }{90}$

➝ C.P. = 990

______________________________________

Total C.P. = C.P. of x + C.P. of y

➝ 810 + 990

➝ 1800

Total S.P. = Rs. 891

C.P. > S.P.

So, here is a loss .

Loss = C.P. - S.P.

➝ 1800 - 891

➝ 909

Loss% = $\dfrac{Loss}{C.P.} \times 100$

➝ $\dfrac{909}{1800} \times 100$

➝ $\cancel{\dfrac{909}{18}}$

➝ 50.5 %

He make a loss of 50.5 % on whole.

______________________________________