Discount

Discount

1. 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%?
1. Rs. 35
2. Rs. 40
3. Rs. 30
4. Rs. 45

1. 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

1. 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
1. ₹ 345.5
2. ₹ 324
3. ₹ 360
4. ₹ 337.5

1. 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, then

 75 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, then

 75 of y = 270 100

 ⇒  y = 270 × 100 = Rs. 360 75

1. 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
1. ₹ 180
2. ₹ 200
3. ₹ 230
4. ₹ 187

1. 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

1. 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.
1.  11 1 % 9
2.  9 1 % 11
3. 11%
4. 8%

1. Given Here , marked price of a saree = Rs. 200
S.P. of saree = (100 – 20)% of 200
S.P. of saree = 80% of 200

 S.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 200

 S.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

1. After allowing 10% discount, a dealer wishes to sell a machine for ₹ 2,700. At what price must the machine be marked ?
1. ₹ 270
2. ₹ 3,000
3. ₹ 2,970
4. ₹ 2,430

1. 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.