A shopkeeper offers 35 discount to alex alex paid inr 130 to the shopkeeper find the marked price
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ML Aggarwal Solutions Class 8 Mathematics Solutions for Percentage Exercise 7.3 in Chapter 7 - PercentageQuestion 10 Percentage Exercise 7.3 A shopkeeper allows a 20% discount on his goods and still earns a profit of 20%. If an article is sold for ₹ 360, find: (i) the marked price (ii) the cost price 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 Was This helpful?
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ML Aggarwal Solutions Class 8 Mathematics Solutions for Percentage Exercise 7.3 in Chapter 7 - PercentageQuestion 7 Percentage Exercise 7.3 A shopkeeper purchased a calculator for ₹ 650. He sells it at a discount of 20% and still makes a profit of 20%. Find: (i) the selling price (ii) marked price Answer: (i) It is given that C.P. = ₹ 650 Profit = 20% We know that S.P. = [1 + P/100] of C.P. Substituting the values = [1 + 20/100] × 650 By further calculation = 120/100 × 650 So we get = 12 × 65 = ₹ 780 Therefore, the selling price of the calculator is ₹ 780. (ii) It is given that S.P. = ₹ 780 Discount = 20% We know that S.P. = [1 – d/100] of M.P Substituting the values 780 = [1 – 20/100] of M.P. By further calculation 780 = 80/100 of M.P. It can be written as M.P. = 780 × 100/80 So we get M.P. = 780 × 10/8 M.P. = 7800/8 M.P. = ₹ 975 Therefore, the market price of the calculator is ₹ 975.
Video transcript hello everybody welcome to lido learning channel my name is rajna and we are going to solve this question a shopkeeper purchased a calculator for rupees 650 he sells it at a discount of 20 and still makes a profit of 20 find selling price so in this question it's shopkeeper purchased a calculator so that mean this is cost price so cost price of the item is rupees 650 and he made a discount so uh as well as a profit so profit is 20 so this 20 percent would be calculated of cost price so 20 upon 100 multiplied by cp that is 650 zeros are cancelled and 65 multiplied by 20 is 170 rupees so this is the profit now we have to find selling price selling price is profit plus cost price so profit is 170 cost price is 650 after adding we have rupees 780 so this is selling price now we also have to calculate marked price but we know selling price now so let's do this so we can let marked price as x because we know that marked price is always we know that discount is always calculated on marked price so that's why we have left it as x now discount is 20 so this would be 20 of marked price so 20 upon 100 of x after further calculation we have x upon 5 now this is the discount x upon five we have to find marked price so we know that marked price would be equal to or we can apply the formula of selling price selling price is marked price minus discount selling price now we know let's substitute the value 780 mark price is x discount is x upon 5 so after substituting and calculating we have 780 is equal to 5 in the denominator 5x minus x so we have 780 is equal to 4x upon 5 now 4 upon 5 can we transposed to the left hand side and we would have 5 at the numerator and 4 at the denominator is equal to x now we can simplify this so after this simplification we can divide 780 by 4 so it would we would get 900 195 that should be multiplied by 5 and we would have 975 so this 975 rupees is the value of x that means this is marked price so i hope you understand the method how did we calculate marked price and selling price see you in my next video don't forget to like share and subscribe the channel thank you for watching Was This helpful?
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