Question

by selling an article for rupees 1600 us shopkeeper loss 20% for how much should he sell it to gain 20% .​

Answer 1

Answer:

If the cost price of an article sold at a loss of 20% was Rs 1600, then to gain 20 %, he should sell it for Rs 2400

Step-by-step explanation:

Given

The selling price of the article = Rs 1600

Loss percent = 20%

Loss percent = [(CP-SP)/CP]*100

Where

CP = cost price

SP = Selling price

That is,

$20= \frac{CP -1600}{CP} *100\\\\\frac{20}{100} = \frac{CP -1600}{CP}\\\\\frac{1}{5} CP = CP -1600\\\\CP -\frac{1}{5}CP = 1600\\\\\frac{4CP}{5} = 1600\\\\4CP = 1600*5\\ \\CP = \frac{8000}{4} \\\\CP = Rs 2000$

Gain percent = [(SP-CP)/CP]*100

CP = 2000

That is

$20=\frac{SP-2000}{2000} *100\\\\20 =\frac{SP-2000}{20} \\\\20*20 = SP -2000\\\\ SP =400+2000\\\\SP = Rs2400$

So the selling price for a gain of 20 % is Rs 2400