A trader sells an article at 16% below its cost price. Had he sold it for ₹192.20 more, he would have gained 15%. The new selling price (in ₹) of the article is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 713.
Let the cost price of the article be ₹100x.
According to the given question,
SP = CP ×
SP at 16% loss =
⇒ = 84x
SP = CP ×
SP at 15% profit =
⇒ = 115x
Difference in the SPs = 192.20
⇒ 115x - 84x = 192.20
⇒ 31x = 192.20
⇒ x = 6.20
Now, CP = 100x
⇒ 100 × 6.20 = 620
New SP = 115x
⇒ 115 × 6.20 = 713
Hence the new selling price (in ₹) of the article is 713.