Jai narayan sells two radio set for ₹2288 each.On one he gain 10% and on the other he loses 10%. Find his gain or loss percentage?
In answer sheet ans is 1%
Answers
Step-by-step explanation:
Given : Jai narayan sells two radio sets for Rs.2288 each. On one he gains 10 percent and on the other he loses 10 percent.
To Find : His gain or loss percent ?
Solution :
The selling price of two radio sets is Rs.2288.
The gain percent is 10%.
The cost price is given by,
CP=\frac{SP\times 100}{100+P\%}CP=100+P%SP×100
CP=\frac{2288\times 100}{100+10}CP=100+102288×100
CP=\frac{228800}{110}CP=110228800
CP=2080CP=2080
The loss percent is 10%.
The cost price is given by,
CP=\frac{SP\times 100}{100-P\%}CP=100−P%SP×100
CP=\frac{2288\times 100}{100-10}CP=100−102288×100
CP=\frac{228800}{90}CP=90228800
CP=2542.22CP=2542.22
The total cost price is 2080+2542.22=Rs.4622.22
The total selling price is 2288+2288=Rs.4576
As CP>SP there is a loss.
Loss percent is given by,
L\%=\frac{CP-SP}{CP}\times 100L%=CPCP−SP×100
L\%=\frac{4622.22-4576}{4622.22}\times 100L%=4622.224622.22−4576×100
L\%=\frac{46.22}{4622.22}\times 100L%=4622.2246.22×100
L\%=0.9\%L%=0.9%