## Discount

#### Discount

1. While selling a shirt, a shopkeeper gives a discount of 7%. If he gives discount of 9% he earns Rs. 15 less on profit. The marked price of the shirt is
1. Rs. 712
2. Rs. 787
3. Rs. 750
4. Rs. 697

1. Let the marked price of article be Rs. y.
According to the question,
(9 – 7)% of y = 15
⇒ 2% of y = 15

 ⇒  y × 2 = 15 10

##### Correct Option: C

Let the marked price of article be Rs. y.
According to the question,
(9 – 7)% of y = 15
⇒ 2% of y = 15

 ⇒  y × 2 = 15 10

 ⇒  y = 15 × 100 = Rs. 750 2

1. A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is
1. Rs.920
2. Rs.900
3. Rs.820
4. Rs.950

1. Here , cost price of article = Rs. 720
Let the marked price of article be Rs. y.
discount = 10% and gain = 15%
According to the question,
90% of y = 720 × 115%

 ⇒  y × 90 = 720 × 115 100 100

##### Correct Option: A

Here , cost price of article = Rs. 720
Let the marked price of article be Rs. y.
discount = 10% and gain = 15%
According to the question,
90% of y = 720 × 115%

 ⇒  y × 90 = 720 × 115 100 100

 ⇒  y = 115 × 720 = Rs. 920 90

1. A dealer marks his goods 20% above their cost prices. Then, he allows such a discount on the marked price so that he makes a profit of 8%. The rate of discount is :
1. 12%
2. 10%
3. 6%
4. 4%

1. Let the C.P. of article be Rs. 100.
∴  Its marked price = Rs. 120
Let the rate of discount be y%
At 8% profit , S.P. of article = 100 + 8 = Rs. 108
According to the question,
y% of 120 = Marked price - S.P. of article
⇒ y% of 120 = 120 – 108

##### Correct Option: B

Let the C.P. of article be Rs. 100.
∴  Its marked price = Rs. 120
Let the rate of discount be y%
At 8% profit , S.P. of article = 100 + 8 = Rs. 108
According to the question,
y% of 120 = Marked price - S.P. of article
⇒ y% of 120 = 120 – 108

 ⇒ 120 × y = 12 100

 ⇒  y = 12 × 100 = 10% 120

1. A merchant marked cloth at Rs. 50 per metre . He offers two successive discounts of 15% and 20%. The net price per metre of cloth is :
1. Rs. 32.50
2. Rs. 42.50
3. Rs. 34.00
4. Rs. 40.00

1. As we know that ,

 Single equivalent discount for a% and b% = a + b - a × b % 100

Here , a = 20% , b = 15%
 Single equivalent discount = 20 + 15 - 20 × 15 % 100

= (35 - 3)% = 32%
∴  Net rate of cloth = (100 – 32)% of Rs. 50

##### Correct Option: C

As we know that ,

 Single equivalent discount for a% and b% = a + b - a × b % 100

Here , a = 20% , b = 15%
 Single equivalent discount = 20 + 15 - 20 × 15 % 100

= (35 - 3)% = 32%
∴  Net rate of cloth = (100 – 32)% of Rs. 50
 Net rate of cloth = Rs. 50 × 68 per metre 100

∴ Net rate of cloth = Rs. 34 per metre

1. A man bought a watch for 10% discount. If he had bought for 20% discount he would have got the watch for Rs. 125 less . The marked price of the watch is
1. Rs. 2500
2. Rs.1250
3. Rs. 3750
4. Rs.1000

1. Let the marked price of watch be Rs. y.
According to the question,
(20 – 10)% of y = 125
⇒ 10% of y = 125

##### Correct Option: B

Let the marked price of watch be Rs. y.
According to the question,
(20 – 10)% of y = 125
⇒ 10% of y = 125

 ⇒  y × 10 = 125 100

⇒  y = Rs. 1250