Renu sold an article at a loss of $8$ percent. Had she bought it at $10$% less and sold for Rs. $36$ more; she would have gained $20$%. Find the cost price of the article.

Let the cost price be C P. The initial selling price at an 8 percent loss is 0.92 C P, and the new cost price at 10 percent less is 0.90 C P. The new selling price is 36 rupees more than the initial one, so it equals 0.92 C P plus 36, which also equals a 20 percent gain on the new cost price, or 1.20 multiplied by 0.90 C P. Setting up the equation gives 0.92 C P plus 36 equals 1.08 C P. Solving for C P gives 0.16 C P equals 36, making the cost price Rs. 225.

• Thanks
• Wrong explanation