Question

A dealer gains 10 percent by selling an article for 11,000.At what price must he sell it so as to gain 30 percent ?

Answer 1

Short cut

If get get 10% profit on sp=11000

Cp=spx100/(100+gain)

Cp=11000x100/(100+10)

Cp=10000

10% profit =1000

30% profit=1000x3=3000

Sp=10000+3000=13000

Or you can solve it in this way also

Given
Sp=11000

Gain=10%

Cp=spx100/(100+gain)

Cp=11000x100/(100+10)

Cp=11000x100/110

Cp=100x100

Cp=10000

Now he wants to earn 30% profit
Then
Sp=cpx(100+profit) /100


Sp=10000*(100+30)/100

Sp=10000x130/100

Sp=13000


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