SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

If bought two old scooters for Rs. 9000. By selling one at a profit of 25% and the other at a loss of 20%, to neither gain nor loses. The cost of each scooter is

A) Rs. 3500, Rs. 5500

B) Rs. 4500, Rs. 4500

C) Rs. 4000, Rs. 5000

D) Rs. 5300, Rs. 3700

Correct Answer: C

Solution :

Let cost price of one scooter = Rs. x

Cost price of other scooter = Rs. \[(900-x)\]

\[\therefore \]Selling price of first scooter \[=x+\frac{25x}{100}=\frac{125x}{100}\]

Also, selling price of second scooter

\[=(9000-x)\left( 1-\frac{20}{100} \right)=(9000-x)\left( \frac{80}{100} \right)\]

\[\therefore \]Total selling price of scooter

\[=\frac{125x}{100}+(9000-x)\frac{80}{100}\]

\[\therefore \] \[\frac{125x}{100}+(9000-x)\frac{80}{100}=9000\] (given)

\[\frac{45x}{100}+7200=9000\]

\[45x=180000\]

\[=\frac{1}{3}\times \pi \times \frac{9}{2}\times \frac{9}{2}\times 9=\frac{2673}{14}c{{m}^{3}}\]= Rs. 4000

\[\therefore \] Cost price of 1st scooter = Rs. 4000

Cost price of 2nd scooter = Rs. 5000