
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.
Answer
522.3k+ 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
The correct geometry and hybridization for XeF4 are class 11 chemistry CBSE

Water softening by Clarks process uses ACalcium bicarbonate class 11 chemistry CBSE

With reference to graphite and diamond which of the class 11 chemistry CBSE

A certain household has consumed 250 units of energy class 11 physics CBSE

The lightest metal known is A beryllium B lithium C class 11 chemistry CBSE

What is the formula mass of the iodine molecule class 11 chemistry CBSE

Trending doubts
Draw an outline map of India and mark the following class 9 social science CBSE

Write a short note on The Shiwalik Range class 9 social science CBSE

What is chronic hunger and seasonal hunger

Give the formula for class mark and class size of a class 9 maths CBSE

The radius of the base of a cone is 5 cm and its height class 9 maths CBSE

How to find xi in statistics class 9 maths CBSE
