Question

A man buys two cycles for a total cost of rs.900. by selling one for 4/5 of its cost and other for 5/4 of its cost, he makes a profit of rs.90 on the whole transaction. find the cost price of lower priced cycle.

Answer 1

Answer:

Rs600

Step-by-step explanation:

For the first situation,

Loss % =

C.P.1

C.P.1−S.P.1

×100=20

=>C.P.1−S.P.1=0.2C.P.1

=>S.P.1=0.8C.P1

For the second situation,

C.P.2−=Rs900−C.P.1

So, Profit % =

C.P.2

S.P.2−C.P.2

×100=25

=>

C.P.

S.P.2−C.P.2.

×100=25

=>S.P2.−C.P2=0.25C.P2.

=>S.P.=1.25C.P

=>S.P.2=1.25(Rs900−C.P.1)

=>S.P.2=1125−1.25C.P.1

Given, total profit =Rs90

S.P.1+S.P.2−C.P.1−C.P.2=Rs90

0.8C.P1+1125−1.25C.P.1−C.P.1−900+C.P.1=Rs90

=>0.45C.P.1=135

=>C.P.1=Rs300

And, C.P.2−=Rs900−C.P.1=Rs600