Question

A man sold a bicycle at 5%profit.If the cost had been 30% less and the selling price Rs 63 less, he would have made the profit of 30%.What was the cost price of the bicycle

Answer 1

Step-by-step explanation:

For the first situation,

Profit % =

C.P.

S.P.−C.P.

×100=5

=>S.P.−C.P.=0.05C.P.

=>S.P.=1.05C.P --- (1)

For the second situation, Selling price = Selling price of 1st situation −Rs63

And Cost price is 30 % less or =70 % of C.P. =0.7C.P.

So, Profit % =

C.P.

S.P.−C.P.

×100=30

=>

0.7C.P.

(S.P.−63)−0.7C.P.

×100=30

=>S.P.−63−0.7C.P.=0.21C.P.

=>S.P.=0.91C.P+63 --- (2)

From, equations 1, 2

1.05C.P.=0.91C.P+63

=>0.14C.P.=63

C.P.=Rs450