Questions & Answers

Question

Answers

(A) $1800$

(B) $1600$

(C) $1700$

(D) $1750$

Answer
Verified

Given data in the question is that the marked price on the product (MP) is $Rs2250$, discount offered is of $12\% $ of the marked price and the shopkeeper still makes a profit of $10\% $.

Here, for finding the price at which the shopkeeper is selling the goods, i.e. selling price (SP) you need to take away the discount from marked price.

Selling price $ = $ Marked Price $ - $ Discount offered

Now let’s put the known values in this relation

$SP = MP - 12\% of MP \Rightarrow SP = 2250 - \dfrac{{12}}{{100}} \times 2250$

Therefore, $SP = 2250 - 270 = Rs.1980$

We got the selling price at which the shopkeeper is selling the goods. According to the question, at this selling price, he is still making a profit of $10\% $, i.e. the selling price of the good must be $10\% $ more of the cost price of the good.

$ \Rightarrow SP = CP + 10\% of CP \Rightarrow SP = CP\left( {1 + \dfrac{{10}}{{100}}} \right) \Rightarrow SP = CP\left( {\dfrac{{110}}{{100}}} \right)$

Let’s use our known value of SP in the above relation

$1980 = CP \times \dfrac{{11}}{{10}} \Rightarrow CP = \dfrac{{1980 \times 10}}{{11}} \Rightarrow CP = Rs.1800$

Hence, the cost price of the goods is $Rs.1800$.