Question

An article is marked at $Rs.2,250$. By selling it at a discount of $12\%$, the dealer makes a profit of $10\%$. Find the cost price of the article for the dealer.

• A. Rs. $1,500$
• B. Rs. $1,600$
• C. Rs. $1,700$
• D. Rs. $1,800$

Answer 1

The correct option is D Rs. $1,800$

Discount $=12$ % of Marked Price $=\frac{12}{100}\times 2,250=Rs.270$
And Selling Price $=$ Marked Price $-$ Discount

$=Rs.2,250-Rs.270=Rs.1,980$
Now, with this S.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=10$ %, we have
$⟹\frac{1,980-C.P.}{C.P.}\times 100=10$

$⟹1,980-C.P.=0.1C.P.$
$⟹1.1C.P.=1,980$
$⟹C.P.=Rs.1,800$