question_answer

A shopkeeper bought two TV sets at Rs. 10,000 each. He sold one at a profit 10% and the other at a loss of 10%. Find whether he made an overall profit or loss.

Answer:

In first case, when shopkeeper found a profit.

Cost Price (C.E) =Rs. 10,000

Profit% =10%

Selling Price (S.E) =?

We know that,

\[S.P.=\frac{(100+\Pr ofit%)}{100}\times C.P.\]

\[=\left( \frac{100+10}{100} \right)\times 10,000\]

S.P. = \[110\times 100\text{ }=\text{ Rs}\text{. }11,000\]

Selling price (S.E) of first case =Rs. 11,000

In second case,

When shopkeeper found a loss,

C.P. =Rs.10, 000

Loss% = 10%

S.P. =?

We know that,                 \[S.P.=\frac{(100-loss%)}{100}\times C.P.\]

\[=\frac{(100-10)}{100}\times 10,000\]

\[=90\times 100\]

S.P. =Rs. 9,000

S.P. of second case =Rs. 9,000

According to whole transaction,

Total C.E of both cases \[=\text{ }10,000\times 2=Rs.20,000\]

Total S.E of both cases = (11,000 + 9,000)

=Rs. 20,000

Hence, these is no profit or no loss.