Question

. A person sells two machines at
396 each. On one he gains 10%
and on the other he losses 10%. Its
profit or loss in the whole
transaction is
(1) no gain, no loss (2) 1% loss
(3) 1% profit (4) 8% profit​

Answer 1

Step-by-step explanation:

SP of 1 machine is 396.

CP is 396 *100/110=360

Profit is 36

SP of 2 machine is 396

CP is 396*100/90=440

Profit=44

Total CP is 800

Total SP is 792

Loss is 8

Loss percent is 8/800*100=1%

Answer 2

There is loss of 1 % in whole transaction

Solution:

If two items are sold at the same rate, one at a loss of x% and another at a gain of x %, then there is always a loss, which is given as:

$loss\ \% = \frac{x^2}{100}$

Given that,

A person sells two machines at  396 each

On one he gains 10%  and on the other he losses 10%

Therefore,

x = 10

Thus,

$loss\ \% = \frac{10^2}{100}\\\\loss\ \% = \frac{100}{100}\\\\loss\ \% = 1 \%$

Thus, there is loss of 1 % in whole transaction

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