Kunal bought an article and sold it at a loss of 15%. If he had bought it for 18% less and sold it for ₹108 more, then he would have had a profit of 30%. Find the cost price of the article.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. ₹500.
Let's say CP was x
SP = x - 15% of x = x - 15/100 x = 85/100x = 0.85x
If he bought it for 18% less,
CP = x - 18% of x = x - 18x/100 = 82x/100 = 0.82x
New SP = 0.82x + 108
Now gain = 30% of 0.82x
then S.P - C.P = gain
0.85x + 108 - 0.82x = 30/100 × 0.82x
⇒ 0.03x + 108 = 0.246x
⇒ 0.216x = 108
⇒ x = 500
then, CP = Rs. 500