What is the marked price of the item which costs the shop keeper Rs 1000 to gain 20 after allowing a discount of 20 %?

Question 10 Percentage Exercise 7.3

Answer:

(i) It is given that

The dealer allows a discount of 20%

S.P. = [1 – d/100] of M.P.

Substituting the values

360 = [1 – 20/100] of M.P.

By further calculation

360 = 80/100 of M.P.

It can be written as

M.P. = 360 × 100/80

M.P. = 360 × 10/8

So we get

M.P. = 45 × 10

M.P. = ₹ 450

(ii) Consider ₹ x as the C.P. of the article

Profit = 20%

S.P. = ₹ 360

We know that

S.P. = [1 + P/100] of C.P.

Substituting the values

360 = [1 + 20/100] of x

By further calculation

360 = [1 + 1/5] of x

So we get

360 = 6x/5

By cross multiplication

x = 360 × 5/6

x = 60 × 5

x = ₹ 300

Therefore, the C.P. of the article is ₹ 300.

Video transcript

hello everybody welcome to leader learning channel my name is rachana chaudhary and we have to solve this question which is a shopkeeper allows 20 discount on his goods and still earns a profit of 20 percent if an article is sold for rupees 360 we have to find a marked price so selling price is given in the question we have to find the marked price if discount percent is 20 and profit is also 20 percent so let's start with the first case so we can let that marked price is x now we know that selling price is always equal to marked price minus discount in rupees so let's calculate discount first of all so discount is 20 of x that means 20 upon 100 multiplied by x after this simplification it would be x upon 5 so this is the discount in rupees now let's use this in the formula here so selling price is given 360. let's put that value also marked price we have let as x and discount is x upon 5 after further calculation we would have 360 is equal to 5x minus x upon 5 by further solving it so 306 is equal to 4x upon 5 then so i'm writing it over here the next line so 360 can be multiplied by 5 and divided by 4 for further calculation that would be the value of x this can be divisible by 9 times and there is a 0 multiplied by 5 is equal to x now we know after this multiplication it is 450 rupees so the value of x is 450 that mean this is the marked price now we also have to calculate cost price so if we see uh in second case we can let x as cos price or we can take any other variable 2. so let z as cost price now we know that selling price is equal to cost price plus profit now we know that profit here we should use in rupees so we will calculate that so let's put the values 360. cost price is x and profit so profit on in rupees can be calculated as 20 percent of x because x is the cost price so 360 is equal to x plus 20 upon 100 x this can be solved further so plus x upon 5 after further calculation we have 5 x plus x upon 5 360 is equal to 6 x upon 5 by transposing 360 multiplied by 5 upon 6 is equal to x after further calculation we have x is equal to 300 rupees so this is the final answer for cost price i hope you understand both the ways see you in my next video don't forget to like share and subscribe the channel thank you for watching

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