SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

A trader bought two horses for Rs. 19500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively

A) Rs. 10000 and Rs. 9500

B) Rs. 11500 and Rs. 8000

C) Rs. 12000 and Rs. 7500

D) Rs. 10500 and Rs. 9000

Correct Answer: B

Solution :

Let CP of a horse = Rs. \[x\]

Then, CP of other horse \[=19500-x\]

According to the given condition,

\[x\times \frac{80}{100}=(19500-x)\times \frac{115}{100}\]

\[\Rightarrow \] \[16x=23\,\,(19500-x)\]

\[\Rightarrow \] \[16x=448500-23x\]\[\Rightarrow \]\[39x=448500\]

\[\Rightarrow \] \[x=\frac{448500}{39}\]\[\Rightarrow \]\[x=\]Rs. 11500

CP of first horse = Rs. 11500

and CP of second horse \[=19500-11500=\text{ }\left( 25\text{ }+\text{ }30\text{ }+\text{ }20\text{ }+\text{ }30\text{ }+\text{ }32.5 \right)\]

= Rs. 8000