Question

`A shopkeeper bought an article and sold it at a profit of 25%.Had he bought it for Rs. 200 less and sold it for Rs. 150 less he would have a profit of 35%.Find the original cost price of the article.

Answer 1

Answer:

Let CP was x

SP=x−15%ofx=x−

100

15

x= 100 85x

=0.85x

If he bought it for 20% less,

CP =x−20%ofx=x−

100

20x

=

100

80x

=0.8x

New SP=0.85x+114

Now gain=30%of0.8x

then S.P−C.P=gain

⇒0.85x+114−0.8x=

100

30

×0.8x

⇒0.05x+114=0.24x

⇒0.19x=114

⇒x= .19

114

=600

then CP =Rs. 600