A person sells an article at a profit of 12%. If he had purchased it for 12% less and sold it for ₹9 less, he would have gained 27%. Whatis the original cost price of the article?

Let the CP of the article be Rs a.

Given, it is sold at a profit of 12%.

Thus, profit = 12% of CP = 12% of Rs a.

Hence, SP = profit + CP = Rs ( 12% of a + a ) = Rs $$\frac{12a}{100}$$ = Rs 1.12 a.

If he had purchased it for 12% less and sold it for ₹9 less, he would have gained 27% :

Then, CP = Rs a - 12% of Rs a = Rs 0.88 a.

And, SP = Rs 1.12a - Rs 9 , gain would be 27% of Rs 0.88 i.e. 27 / 100 x Rs 0.88 = Rs 0.27 x 0.88 a.

= > SP - CP = profit => Rs 1.12a - Rs 9 - Rs 0.88a = Rs 0.88 x 0.27 a => Rs 1.12a - Rs 0.88 a - Rs 0.88 x 0.27 a = Rs 9 => Rs 1.12 a - Rs 0.88 x Rs 0.2376a = Rs 9 => a = 3750 => Rs a = Rs 3750.

Hence the original cost price of the article is Rs 3750.