Question

10. A shopkeeper sold two mobile phones for 4752 each. On one he gains 10% and on the other he loses 10%. Find his gain or loss in the whole transaction.​

Answer 1

Answer:

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Answer 2

The loss% on total transaction is 1%

GIVEN

A shopkeeper sold two mobile phones for 4752 each. On one he gains 10% and on the other he loses 10%.

TO FIND

Gain or loss in the whole transaction.

SOLUTION

We can simply solve the above problem as follows;

Selling price of each mobile phone = Rs 4752

Combined selling price = 2×4752 = 9504

Now,

Profit% on one phone = 10%

selling price of the phone = Rs 4752

$cp = \frac{sp}{1 + \frac{profit}{100} }$

Therefore,

=

$= \frac{4752}{1 + \frac{10}{100} }$

$= \frac{4752 \times 100}{110}$

= Rs 4320

Similarly,

Loss% on one phone = 10%

Selling price of phone = Rs 4752

Cost price =

$\frac{sp}{1 - \frac{loss\%}{100} }$

$= \frac{4752 \times 100}{90}$

= Rs 5280

Combined cost price of two phones = 4320 + 5280 = Rs 96,00

Loss = Cp-sp

= 9600-9504

= 96

Loss% = (Loss/cp)×100

= 1%

Hence, The loss% on total transaction is 1%

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