## Discount

#### Discount

1. The list price of TV is Rs. 2300 and discount series is found to be 25% and 10%. Then the selling price of TV is
1. Rs.1255.5
2. Rs.1525.5
3. Rs.1552.5
4. Rs.1555.2

1. Single equivalent discount for 25% and 10%

 = 25 + 10 − 25 × 10 % 100

= (35 – 2.5)% = 32.5%
∴  S.P. of Television = (100 – 32.5)% of Rs. 2300
 = Rs. 2300 × 67.5 = Rs. 1552.50 100

##### Correct Option: C

Single equivalent discount for 25% and 10%

 = 25 + 10 − 25 × 10 % 100

= (35 – 2.5)% = 32.5%
∴  S.P. of Television = (100 – 32.5)% of Rs. 2300
 = Rs. 2300 × 67.5 = Rs. 1552.50 100

1. A bookseller allowed 15% discount on the books sold. Sunil purchased books worth Rs. 1500. How much will he have to pay to the bookseller.
1. Rs. 1200
2. Rs. 1250
3. Rs. 1275
4. Rs. 1300

1. Cost of books = Rs. 1500
Discount per cent = 15%
∴  Their S.P. = 85% of 1500

 = Rs. 1500 × 85 = Rs. 1275 100

##### Correct Option: C

Cost of books = Rs. 1500
Discount per cent = 15%
∴  Their S.P. = 85% of 1500

 = Rs. 1500 × 85 = Rs. 1275 100

1. An article marked at Rs. 540 is sold at Rs. 496.80 in an offseason offer. Then the rate of discount offered (in per cent) is
1. 7
2. 7.5
3. 8
4. 10

1. Discount given
= Rs. (540 – 496.80)
= Rs. 43.20
If the rate of discount be x%, then
x% of 540 = 43.20

 ⇒ 540 × x = 43.20 100

 ⇒  x = 43.20 × 100 = 8% 540

##### Correct Option: C

Discount given
= Rs. (540 – 496.80)
= Rs. 43.20
If the rate of discount be x%, then
x% of 540 = 43.20

 ⇒ 540 × x = 43.20 100

 ⇒  x = 43.20 × 100 = 8% 540

1. A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40, then how many metres of cloth costing Rs. 32 per metre he should purchase ?
1. 6 m
2. 5 m
3. 10 m
4. 7 m

1. Length of cloth bought = x metre (let)
Its cost = Rs. 32x
According to the question,
25% of 32x = 40

 ⇒  32x × 1 = 40 4

⇒  8x = 40
 ⇒  x = 40 = 5 metre 8

##### Correct Option: B

Length of cloth bought = x metre (let)
Its cost = Rs. 32x
According to the question,
25% of 32x = 40

 ⇒  32x × 1 = 40 4

⇒  8x = 40
 ⇒  x = 40 = 5 metre 8

1. A sells a car priced at Rs. 36,000. He gives a discount of 8% on the first Rs. 20,000 and
5% on the remaining Rs. 16,000. B also sells a car of the same make, priced at Rs. 36,000. He gives a discount of 7% on the total price. Calculate the actual prices charged by A and B for the cars.
1. A = Rs. 33,500;
B = Rs. 33,400
2. A = Rs. 33,480;
B = Rs. 33,600
3. A = Rs. 33,450;
B = Rs. 33,650
4. A = Rs. 33,600;
B = Rs. 33,480

1. Actual price charged by A

 = Rs. 20000 × 92 + 16000 × 95 100 100

= Rs. (18400 + 15200)
= Rs. 33600
 Actual price charged by B = Rs. 36000 × 93 = Rs. 33480 100

##### Correct Option: D

Actual price charged by A

 = Rs. 20000 × 92 + 16000 × 95 100 100

= Rs. (18400 + 15200)
= Rs. 33600
 Actual price charged by B = Rs. 36000 × 93 = Rs. 33480 100