What price should a shopkeeper mark on an article which costs him 880 so as to gain 25% after allowing a discount of 12%?

Question 5 Percentage Exercise 7.3

Answer:

(i) It is given that

M.P. = ₹ 800

Discount = 20%

We know that

S.P. = [1 – d/100] of M.P.

Substituting the values

S.P. = [1 – 20/100] of ₹ 800

By further calculation

S.P. = 80/100 × 800

S.P. = ₹ 640

Therefore, the selling price is ₹ 640.

(ii) It is given that

S.P. = ₹ 640

Profit = 25%

We know that

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

Substituting the values

640 = [1 + 25/100] of C.P.

By further calculation

640 = 125/100 of C.P.

So we get

C.P. = [640 × 100/125]

C.P. = 128 × 4

C.P. = ₹ 512

Video transcript

hello everybody welcome to lido learning channel my name is rajna chaudhary and we have to solve this question it is the list price of an article is 800 and the dealer is selling it at a discount of 20 percent find selling price of the article so first part is that we have to find selling price and list price is given so list price is marked price so marked price is given to us 800 rupees and discount is given 20 percent so we know that discount is always calculated on marked price so that mean uh 20 of marked price that is 800 so 20 that mean 20 upon 100 of 800 after solving it we would have 160 rupees so this is discount in rupees now we can also calculate a selling price so selling price we know is marked price minus discount so that mean 800 minus 160 and that would be 640 so selling price is rupees 640. now let's come to the second part here the cost price of the article we have to find the cost price of the article if he makes 25 profit on selling it so in this case we are given with profit as 25 percent and we have to calculate cp so we can let cp as x now let's calculate it so we know that profit is always found on cost price so it is 25 percent of cost price that mean x so 25 upon 100 multiplied by cp that is x after this further calculation we have profit in rupees as x upon 4 this is the profit in rupees so we know the formula to calculate a cost price so uh cost price is always we can calculate it or um price is equal to selling price minus profit now cost price would be equal to a cost price is x so we can substitute x here selling price we know 640 profit we just have calculated x upon 4 now we can transpose x upon 4 to the left hand side that would be adding here let's solve it so we have 4x plus x upon 4 is equal to 640. after further calculation 5x upon 4 is equal to 640 then x would be equal to 640 multiplied by 4 upon 5. we can solve it further and we would get 512 that is the value of x and x was cos price so we have cost price as rupees 512 i hope you understand how we calculated and the method also so see you in my next video don't forget to like share and subscribe the channel thank you for watching

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Question 1 0 2 What price should a shopkeeper mark on an article that costs him Rs. 600 to gain 20 %, after allowing a discount of 10 % ?

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