Answer
Verified
394.8k+ views
Hint: Try to imagine the whole situation from the perspective of the shopkeeper. Take the marked price and go step by step with the discount and then the profit. Find the selling price, which will help you in finding the cost price using profit.
Complete step-by-step answer:
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 $Rs.1800$.
Note: Try to understand the question well by reframing it in your own words. Go step by step to make the process less complicated. An alternative approach for the above problem can be the use the formula for profit, i.e. Profit$\% = \left( {\dfrac{{SP - CP}}{{CP}}} \right) \times 100$. This formula could be used after finding out the selling price.
Complete step-by-step answer:
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 $Rs.1800$.
Note: Try to understand the question well by reframing it in your own words. Go step by step to make the process less complicated. An alternative approach for the above problem can be the use the formula for profit, i.e. Profit$\% = \left( {\dfrac{{SP - CP}}{{CP}}} \right) \times 100$. This formula could be used after finding out the selling price.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
State the differences between manure and fertilize class 8 biology CBSE
Why are xylem and phloem called complex tissues aBoth class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
What would happen if plasma membrane ruptures or breaks class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What precautions do you take while observing the nucleus class 11 biology CBSE
What would happen to the life of a cell if there was class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE