Discount
 A man allows a discount of 10% on a book whose marked price is Rs. 40. What is the cost price so that the profit is 20%?

 Rs. 35
 Rs. 40
 Rs. 30
 Rs. 45

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Given that , marked price = Rs. 40 , discount = 10% , profit = 20%
Let C.P. of article = Rs. y
According to question ,y × 120 = 40 × 90 100 100 ⇒ y = 40 × 90 = Rs. 30 120
We can find required answer with the help of given formula :
Here, D = 10%, r = 20%, M.P. = Rs. 40, C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: C
Given that , marked price = Rs. 40 , discount = 10% , profit = 20%
Let C.P. of article = Rs. y
According to question ,y × 120 = 40 × 90 100 100 ⇒ y = 40 × 90 = Rs. 30 120
We can find required answer with the help of given formula :
Here, D = 10%, r = 20%, M.P. = Rs. 40, C.P. = ?M.P. = 100 + r C.P. 100 − D 40 = 100 + 20 C.P. 100 − 10 C.P. = 40 × 90 = Rs. 30 120
 A store offers a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of ₹ 270, then its greatest possible original price was

 ₹ 345.5
 ₹ 324
 ₹ 360
 ₹ 337.5

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As we can say that Greatest possible original price will be when discount be maximum
Here , we are taking maximum discount = 25%
If the price be Rs. y, then75 of y = 270 100
Correct Option: C
As we can say that Greatest possible original price will be when discount be maximum
Here , we are taking maximum discount = 25%
If the price be Rs. y, then75 of y = 270 100 ⇒ y = 270 × 100 = Rs. 360 75
 A merchant offers 8% discount on all his goods and still makes a profit of 15%. If an item is marked ₹ 250, then its cost price is

 ₹ 180
 ₹ 200
 ₹ 230
 ₹ 187

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Given that , marked price = ₹ 250 , discount = 8% ,
profit = 15%
Let C.P. of article = y
According to question,92% of marked price = 115 × C.P. 100 ∴ 250 × 92 = 115y 100 100
⇒ 115y = 250 × 92⇒ y = 250 × 92 = ₹ 200 115
Second method to solve this question :
Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: B
Given that , marked price = ₹ 250 , discount = 8% ,
profit = 15%
Let C.P. of article = y
According to question,92% of marked price = 115 × C.P. 100 ∴ 250 × 92 = 115y 100 100
⇒ 115y = 250 × 92⇒ y = 250 × 92 = ₹ 200 115
Second method to solve this question :
Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D 250 = 100 + 15 C.P. 100 − 8 C.P. = 250 × 92 = ₹ 200 115
 The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs. 16. Find the gain percent.


11 1 % 9 
9 1 % 11  11%
 8%


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Given Here , marked price of a saree = Rs. 200
S.P. of saree = (100 – 20)% of 200
S.P. of saree = 80% of 200S.P. of saree = 200 × 80 = ₹ 160 100
profit = Rs. 16
∴ C.P. of saree = 160 – 16 = ₹ 144∴ Profit percent = 16 × 100 144
Correct Option: A
Given Here , marked price of a saree = Rs. 200
S.P. of saree = (100 – 20)% of 200
S.P. of saree = 80% of 200S.P. of saree = 200 × 80 = ₹ 160 100
profit = Rs. 16
∴ C.P. of saree = 160 – 16 = ₹ 144∴ Profit percent = 16 × 100 144 Profit percent = 100 = 11 1 % 9 9
 After allowing 10% discount, a dealer wishes to sell a machine for ₹ 2,700. At what price must the machine be marked ?

 ₹ 270
 ₹ 3,000
 ₹ 2,970
 ₹ 2,430
 ₹ 270

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Given that , SP of machine = ₹ 2,700 , discount = 10%
Let the marked price be ₹ y.∴ y × 90 = 2700 100
Correct Option: B
Given that , SP of machine = ₹ 2,700 , discount = 10%
Let the marked price be ₹ y.∴ y × 90 = 2700 100 ⇒ y = 2700 × 100 = ₹ 3000 90
Hence , marked price be ₹ 3000.