## Discount

#### Discount

1. A shopkeeper gives two successive discounts of 7% each on the marked price of Rs. 20,000 of an article. The selling price of the article is
1. Rs. 12,978
2. Rs. 19,278
3. Rs. 18,927
4. Rs. 17,298

1. Single equivalent discount for two successive discounts of 7% each.

 = 7 + 7 − 7 × 7 % = (14 – 0.49)% = 13.51% 100

Marked price of article = Rs. 20000
∴  Required S.P.
= (100 – 13.51)% of Rs. 20000
 = Rs. 20000 × 86.94 = Rs. 17298 100

##### Correct Option: D

Single equivalent discount for two successive discounts of 7% each.

 = 7 + 7 − 7 × 7 % = (14 – 0.49)% = 13.51% 100

Marked price of article = Rs. 20000
∴  Required S.P.
= (100 – 13.51)% of Rs. 20000
 = Rs. 20000 × 86.94 = Rs. 17298 100

1. A dealer marks a washing machine for Rs. 7500, and allows a discount of 6% on it. Find its selling price.
1. Rs. 6850
2. Rs. 7050
3. Rs. 7250
4. Rs. 6950

1. S.P. of washing machine
= (100 – 6) % of Rs. 7500

 = Rs. 7500 × 94 = Rs. 7050 100

##### Correct Option: B

S.P. of washing machine
= (100 – 6) % of Rs. 7500

 = Rs. 7500 × 94 = Rs. 7050 100

1. A fan is listed at Rs. 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs. 108 ?
1.  11 1 % 9
2. 15%
3. 8%
4. None of these

1. After a discount of 20%,

 Price of fan = Rs. 150 × 80 = Rs. 120 100

Again, discount
= Rs. (120 – 108) = Rs. 12
∴  x% of 120 = 12
 ⇒  x × 120 = 12 100

 ⇒  x = 1200 = 10% 120

##### Correct Option: D

After a discount of 20%,

 Price of fan = Rs. 150 × 80 = Rs. 120 100

Again, discount
= Rs. (120 – 108) = Rs. 12
∴  x% of 120 = 12
 ⇒  x × 120 = 12 100

 ⇒  x = 1200 = 10% 120

1. A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed ?
1. Rs. 366.50
2. Rs. 375.00
3. Rs. 350.00
4. Rs. 431.25

1. Let the marked price of article be Rs. x.
According to the question,
(100– 15)% of x = 318.75

 ⇒  x × 85 = 318.75 100

 ⇒  x = 318.75 × 100 = Rs. 375 85

##### Correct Option: B

Let the marked price of article be Rs. x.
According to the question,
(100– 15)% of x = 318.75

 ⇒  x × 85 = 318.75 100

 ⇒  x = 318.75 × 100 = Rs. 375 85

1. A watch is listed for Rs. 230 and is sold at a discount of 12%. The sale price of the watch is
1. Rs. 27.6
2. Rs. 276
3. Rs. 202.4
4. Rs. 257.6

1. Marked price of watch = Rs. 230
Discount = 12%
∴  S.P. of watch = (100 – 12)% of Rs. 230

 = Rs. 230 × 88 = Rs. 202.4 100

##### Correct Option: C

Marked price of watch = Rs. 230
Discount = 12%
∴  S.P. of watch = (100 – 12)% of Rs. 230

 = Rs. 230 × 88 = Rs. 202.4 100