Question

A man buys two cycles for a total cost of Rs. 900. By selling one cycle at a loss of 20% and the other at a profit of 25%, he makes a profit of Rs. 90 on the whole transaction. Find the cost price of each cycle.

• A. Rs. 200; Rs. 500
• B. Rs. 300; Rs. 600
• C. Rs. 400; Rs. 700
• D. Rs. 500; Rs. 800

Answer 1

Answer: (B)

Rs. 300; Rs. 600

For the first situation,
Loss % $=\frac{C.P.1-S.P.1}{C.P.1}\times 100=20$
$=>C.P.1-S.P.1=0.2C.P.1$
$=>S.P.1=0.8C.P1$


For the second situation,

$C.P.2-=Rs900-C.P.1$
So, Profit % $=\frac{S.P.2-C.P.2}{C.P.2}\times 100=25$
$=>\frac{S.P.2-C.P.2.}{C.P.}\times 100=25$
$=>S.P2.-C.P2=0.25C.P2.$
$=>S.P.=1.25C.P$
$=>S.P.2=1.25(Rs900-C.P.1)$
$=>S.P.2=1125-1.25C.P.1$

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, $C.P.2-=Rs900-C.P.1=Rs600$