## Discount

#### Discount

1. While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got ₹ 15 less as profit. The marked price of the shirt is
1. ₹ 750
2. ₹ 720
3. ₹ 712.50
4. ₹ 600

1. Let the marked price of the shirt be y.
Difference of discounts = ( 9 - 7 ) = 2%
∴  2% of y = 15

 ⇒ y × 2 = 15 100

##### Correct Option: A

Let the marked price of the shirt be y.
Difference of discounts = ( 9 - 7 ) = 2%
∴  2% of y = 15

 ⇒ y × 2 = 15 100

 ⇒  y = 15 × 100 = ₹ 750 2

1. A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
1. 18 : 23
2. 17 : 18
3. 17 : 23
4. 18 : 25

1. Given that , gains = 15% , discount = 10%
Let the CP of article be p and its marked price be q.
According to the question,
90% of q = 115% of p

 ⇒ q × 90 = p × 115 100 100

 ⇒ p = 90 = 18 ⇒18 : 23 q 115 23

Second method to solve this question :
Here, r = 15%, D = 10%
Using the given formula ,
 M.P. = 100 + r C.P. 100 − D

##### Correct Option: A

Given that , gains = 15% , discount = 10%
Let the CP of article be p and its marked price be q.
According to the question,
90% of q = 115% of p

 ⇒ q × 90 = p × 115 100 100

 ⇒ p = 90 = 18 ⇒18 : 23 q 115 23

Second method to solve this question :
Here, r = 15%, D = 10%
Using the given formula ,
 M.P. = 100 + r C.P. 100 − D

 M.P. = 100 + 15 C.P. 100 − 10

 M.P. = 115 C.P. 90

 C.P. = 90 M.P. 115

 C.P. = 18 M.P. 23

⇒  C.P. : M.P. = 18 : 23

1. While selling a cooler, a shopkeeper gives a discount of 10% on the marked price. If he gives a discount of 12% he earns ₹ 35 less as profit. The marked price of the cooler is
1. ₹ 1,650
2. ₹ 1,625
3. ₹ 1,725
4. ₹ 1,750

1. Let the market price of the cooler be y,
According to the question,
(12 – 10)% of y = 35
⇒ 2% of y = 35

 ⇒ y × 2 = 35 100

##### Correct Option: D

Let the market price of the cooler be y,
According to the question,
(12 – 10)% of y = 35
⇒ 2% of y = 35

 ⇒ y × 2 = 35 100

 ⇒  y = 3500 = ₹ 1750 2

1. An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Vidya purchased the article by paying ₹ 2240 in cash, the marked price of the article was
1. ₹ 4000
2. ₹ 4368
3. ₹ 4400
4. ₹ 4480

1. Let the marked price of the article be y.
For successive discounts of 30% and 20% ,

 Single Equivalent discount = 30 + 20 − 30 × 20 % 100

Single Equivalent discount = (50 – 6)% = 44%
⇒  (100 – 44)% of y = 2240
 ⇒ y × 56 = 2240 100

##### Correct Option: A

Let the marked price of the article be y.
For successive discounts of 30% and 20% ,

 Single Equivalent discount = 30 + 20 − 30 × 20 % 100

Single Equivalent discount = (50 – 6)% = 44%
⇒  (100 – 44)% of y = 2240
 ⇒ y × 56 = 2240 100

 ⇒  y = 2240 × 100 = ₹ 4000 56

1. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at ₹ 660. The marked price of the article was:
1. ₹ 600
2. ₹ 700
3. ₹ 800
4. ₹ 685

1. Here , selling price = ₹ 660 , discount = 25% and profit = 10%

 CP of the article for Ravi = 660 × 100 = ₹ 600 110

Ravi bought the article at the discount of 25%
∴  75% of marked price = ₹ 600

##### Correct Option: C

Here , selling price = ₹ 660 , discount = 25% and profit = 10%

 CP of the article for Ravi = 660 × 100 = ₹ 600 110

Ravi bought the article at the discount of 25%
∴  75% of marked price = ₹ 600
 Marked price = 600 × 100 = ₹ 800 75