In a scheme, a pack of three soaps with the MRP Rs.45 is available at Rs.42. If it still gives a profit of 5% to the shopkeeper, then find the cost price of the pack.
Last updated date: 21st Mar 2023
•
Total views: 306k
•
Views today: 7.85k
Answer
306k+ views
Hint:- The selling price is Rs.42 and profit is 5% of the cost price. Selling price is the sum of cost price and the profit. the value of profit is equal to the difference between selling price and cost price. where the selling price is greater than the cost price.
Complete step-by-step answer:
Given , a pack of three soaps with MRP Rs.45 is being sold at Rs.42. The shopkeeper is earning a profit of 5%. We need to find the cost price of the pack.
Let the cost price be Rs. $X $.
Now,
Selling Price(S.P.) = Cost Price(C.P.) + Profit………………………….(1)
Profit = $\dfrac{{{\text{Profit percentage}}}}{{100}} \times $C.P. ………………………………………….(2)
Putting the value of profit percentage in above equation we get,
Profit = $\dfrac{5}{{100}} \times $ $X$……………………………………………………………………….(3)
Putting the value of profit in equation (1) , we get
S.P. = $X$ + $\dfrac{5}{{100}} \times $ $X$
42 = $X$ $\left( {1 + \dfrac{5}{{100}}} \right)$
42 = $X$ $\left( {\dfrac{{105}}{{100}}} \right)$
$X$ = $\dfrac{{42 \times 100}}{{105}}$
$X$ = 40
Hence, the cost price of the pack is Rs.40.
Note:- In these types of questions, we need to remember the selling price is not always equal to the MRP. The selling price can have other formulas also in terms of loss.
Complete step-by-step answer:
Given , a pack of three soaps with MRP Rs.45 is being sold at Rs.42. The shopkeeper is earning a profit of 5%. We need to find the cost price of the pack.
Let the cost price be Rs. $X $.
Now,
Selling Price(S.P.) = Cost Price(C.P.) + Profit………………………….(1)
Profit = $\dfrac{{{\text{Profit percentage}}}}{{100}} \times $C.P. ………………………………………….(2)
Putting the value of profit percentage in above equation we get,
Profit = $\dfrac{5}{{100}} \times $ $X$……………………………………………………………………….(3)
Putting the value of profit in equation (1) , we get
S.P. = $X$ + $\dfrac{5}{{100}} \times $ $X$
42 = $X$ $\left( {1 + \dfrac{5}{{100}}} \right)$
42 = $X$ $\left( {\dfrac{{105}}{{100}}} \right)$
$X$ = $\dfrac{{42 \times 100}}{{105}}$
$X$ = 40
Hence, the cost price of the pack is Rs.40.
Note:- In these types of questions, we need to remember the selling price is not always equal to the MRP. The selling price can have other formulas also in terms of loss.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
