Question

1) On selling a fan for Rs 1080, a shopkeeper suffers a loss of 10%. At what price
should he sell it to gain 6 %?

Answer 1

Answer:

To gain 6% the fan should be sold at Rs. 1272.

Step-by-step explanation:

The selling price of the fan is, Rs. 1080.

The loss percent is, 10%.

Compute the cost price as follows:

$SP=CP[1-\frac{Loss}{100}]\\1080=CP[1-\frac{10}{100}]\\CP=\frac{1080}{0.90}\\CP=1200$

Compute the selling price of the fan to gain 6% as follows:

$SP=CP[1+\frac{Gain}{100}]\\=1200[1+\frac{6}{100}]\\=1200\times 1.06\\CP=1272$

Thus, to gain 6% the fan should be sold at Rs. 1272.

Answer 2

Answer:

1144.8

Step-by-step explanation:

S.P=1080rs

Loss%=10%

So,

The price he should sell the fan to gain 6%

C.P=100+gain%\100×S.P

C.P=100+6/100×1080

C.P=1144.8(by solving)

So,

he should sell the fan in Rs 1144.8