## Discount

#### Discount

1. If a discount of 20% on the marked price of a shirt saves a man Rs. 150, how much did he pay for the shirt ?
1. ₹ 600
2. ₹ 650
3. ₹ 500
4. ₹ 620

1. Given Here , discount = 20% and Saved money = Rs. 150
Let the marked price of the shirt be Rs. y.
According to the question,

 y × 20 = 150 100

##### Correct Option: A

Given Here , discount = 20% and Saved money = Rs. 150
Let the marked price of the shirt be Rs. y.
According to the question,

 y × 20 = 150 100

 ⇒  y = 150 × 100 = 750 20

∴  Price paid = ₹ (750 – 150) = ₹ 600

1. A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :
1. 5%
2. 9%
3. 16%
4. 25%

1. Here , profit = 25%
Let the C.P. be ₹ 100
∴  Marked price = ₹ 125
S.P. = ( 100 - 16 )% of 125

 S.P. = 84% of 125 = 84 × 125 = ₹ 105 100

##### Correct Option: A

Here , profit = 25%
Let the C.P. be ₹ 100
∴  Marked price = ₹ 125
S.P. = ( 100 - 16 )% of 125

 S.P. = 84% of 125 = 84 × 125 = ₹ 105 100

∴  Profit = ₹ (105 – 100) = ₹ 5
 ∴ Profit percent = 5 × 100 = 5% 100

1. A sells a scooter priced ₹ 36,000. He gives a discount of 8% on the first ₹ 20,000 and 5% on the next ₹ 10,000. How much discount can he offered on the remaining ₹ 6,000 if he is to get as much as when 7% discount is allowed on the total ?
1. 5%
2. 6%
3. 7%
4. 8%

1. As per the given in question ,
SP of scooter = ₹ 36,000 , discount = 7%

 Discount on ₹ 36000 = 36000 × 7 = ₹ 2520 100

 Discount on first ₹ 20,000 = 20,000 × 8 = ₹ 1600 100

 Discount on next ₹ 10,000 = 10,000 × 5 = ₹ 500 100

∴  Discount on remaining ₹ 6,000 = 2520 – (1600 + 500) = ₹ 420

##### Correct Option: C

As per the given in question ,
SP of scooter = ₹ 36,000 , discount = 7%

 Discount on ₹ 36000 = 36000 × 7 = ₹ 2520 100

 Discount on first ₹ 20,000 = 20,000 × 8 = ₹ 1600 100

 Discount on next ₹ 10,000 = 10,000 × 5 = ₹ 500 100

∴  Discount on remaining ₹ 6,000 = 2520 – (1600 + 500) = ₹ 420
 ∴  Required percent = 420 × 100 = 7% 6000

1. A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by
1. 40%
2. 39%
3. 50%
4. 20%

1. Let the C.P. of each article be ₹ 1
For 15 books, the tradesman gives 1 book free.
∴   C.P. of 15 books = ₹ 16
gains = 35%

 ∴   S.P. of 15 books = 16 × 135 = ₹ 108 100 5

 ∴   S.P. of 15 book = 108 = ₹ 36 5 × 15 25

 Now, 96% of marked price = 36 25

##### Correct Option: C

Let the C.P. of each article be ₹ 1
For 15 books, the tradesman gives 1 book free.
∴   C.P. of 15 books = ₹ 16
gains = 35%

 ∴   S.P. of 15 books = 16 × 135 = ₹ 108 100 5

 ∴   S.P. of 15 book = 108 = ₹ 36 5 × 15 25

 Now, 96% of marked price = 36 25

 ∴   Marked price = 36 × 100 = 3 = ₹ 1.5 25 × 96 2

Total increase = 1.5 - 1 = ₹ 0.5
 ∴ The required % increase = 0.5 × 100 = 50% 1

1. A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him ₹ 900 to gain 10% ?
1. ₹ 1275
2. ₹ 1250
3. ₹ 1175
4. ₹ 1100

1. Given that , C.P. of article = ₹ 900
Gain = 10%

 ∴  S.P. = ₹ 110 × 900 = ₹ 990 100

discount = 10%
Let the marked price be y.
 ∴ 90 y = 990 100

 ∴ y = 990 × 100 = ₹ 1100 90

Second method to solve this question :
Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
Using the given formula ,
 M.P. = 100 + r C.P. 100 − D

##### Correct Option: D

Given that , C.P. of article = ₹ 900
Gain = 10%

 ∴  S.P. = ₹ 110 × 900 = ₹ 990 100

discount = 10%
Let the marked price be y.
 ∴ 90 y = 990 100

 ∴ y = 990 × 100 = ₹ 1100 90

Second method to solve this question :
Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
Using the given formula ,
 M.P. = 100 + r C.P. 100 − D

 M.P. = 100 + 10 900 100 − 10

 M.P. = 110 × 900 90

M.P. = ₹ 1100