Question 7 Percentage Exercise 7.3 Next
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
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How
to calculate cost price using sell price and profit percent? We know that cost price = selling price - profit cost price = selling price - \(\frac{Profit Percentage}{100}\) × cost price cost price + \(\frac{Profit Percentage}{100}\) × cost price = selling price cost price [1 + \(\frac{Profit Percentage}{100}\)] = selling price cost price [\(\frac{100 + Profit Percentage}{100}\)] = selling price Also, cost price = \(\frac{Selling Price × 100}{100 + Profit Percentage}\); (on cross multiplication); Here, selling price and loss% is known. Solved examples will help us to find cost price when the selling price and profit% are known: 1. A bag was sold for $324 thereby gaining 8%. Find the cost price of the bag. Solution: Given selling price = $324 Gain% = 8% We know, cost price = \(\frac{Selling Price × 100}{100 + Gain Percentage}\) Therefore, cost price = \(\frac{324 × 100}{100 + 8}\) = \(\frac{324 × 100}{108}\) = 12 × 25 = $300 Therefore, the cost price of the bag is $300. 2. A book was sold for $575 thereby gaining 15%. Find the cost price of the book. Solution: Given selling price = $575 Gain% = 15% We know, cost price = \(\frac{Selling Price × 100}{100 + Gain Percentage}\) Therefore, cost price = \(\frac{575 × 100}{100 + 15}\) = \(\frac{575 × 100}{115}\) = \(\frac{57500}{115}\) = $500 Therefore, the cost price of the book is $500. 7th Grade Math Problems From Calculate Cost Price using Sell Price and Profit Percent to HOME PAGE
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A radio was bought for rs 650. at what price should it be sold to have a gain of 6%.
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