## Discount

#### Discount

1. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is
1.  15 3 % 8
2. 15%
3.  15 3 % 5
4.  15 2 % 3

1. C.P. of articles = ₹ 100 (let)

 Marked price of articles = 100 × 130 = ₹ 130 100

 S.P. of half of articles = 130 = ₹ 65 2

S.P. of one-fourth of articles at
 15% discount = 65 × 85 = ₹ 27.625 2 100

 S.P. of remaining articles = 65 × 70 = ₹ 22.75 2 100

Total S.P. = ₹(65 + 27.625 + 22.75)
= 115.375
 ∴ Profit % = 15.375% = 15 3 % 8

##### Correct Option: A

C.P. of articles = ₹ 100 (let)

 Marked price of articles = 100 × 130 = ₹ 130 100

 S.P. of half of articles = 130 = ₹ 65 2

S.P. of one-fourth of articles at
 15% discount = 65 × 85 = ₹ 27.625 2 100

 S.P. of remaining articles = 65 × 70 = ₹ 22.75 2 100

Total S.P. = ₹(65 + 27.625 + 22.75)
= 115.375
 ∴ Profit % = 15.375% = 15 3 % 8

1. The list price of a shirt is ₹ 440 and a customer pays ₹ 396 for it. The discount rate is
1. 10%
2.  10 1 % 2
3. 20%
4. 12%

1. Discount = 440 – 396 = 44
If the rate of discount be x %, then

 440 × x = 44 100

 ⇒  x = 44 × 100 = 10% 440

Second Method :
Here, M.P. = ₹ 440
S.P. = ₹ 396
 Discount % = M.P. − S.P. × 100 M.P.

 = 440 − 396 × 100% 440

 = 44 × 100% = 10% 440

##### Correct Option: A

Discount = 440 – 396 = 44
If the rate of discount be x %, then

 440 × x = 44 100

 ⇒  x = 44 × 100 = 10% 440

Second Method :
Here, M.P. = ₹ 440
S.P. = ₹ 396
 Discount % = M.P. − S.P. × 100 M.P.

 = 440 − 396 × 100% 440

 = 44 × 100% = 10% 440

1. To attract more visitors, Zoo authority announces 20% discount on every ticket which costs 25 paise. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.
1. 40%
2. 50%
3. 60%
4. No change

1. Original number of visitors = 100
Total revenue = 100 × 25
= 2500 paise
= ₹ 25
Case II,

 Cost of each ticket = 25 × 80 = 20 paise = ₹ 0.2 100

If the number of visitors be x, then
x × 0.2 = 32
 ⇒  x = 32 = 320 = 160 0.2 2

∴  Required percentage = 60

##### Correct Option: C

Original number of visitors = 100
Total revenue = 100 × 25
= 2500 paise
= ₹ 25
Case II,

 Cost of each ticket = 25 × 80 = 20 paise = ₹ 0.2 100

If the number of visitors be x, then
x × 0.2 = 32
 ⇒  x = 32 = 320 = 160 0.2 2

∴  Required percentage = 60

1. A is to pay B, ₹ 600 in 4 years time. A offers to pay up B at present. What discount should B allow A ?
1. ₹ 96
2. ₹ 100
3. ₹ 120
4. ₹ 110
5. None of these

1. If the rate = 5% p.a.; then

 Present worth = Amount × 100 100 + (R × T)

 = 600 × 100 = 600 × 100 = ₹ 500 100 + (5 × 4) 120

Note : No rate is mentioned in the question.

##### Correct Option: E

If the rate = 5% p.a.; then

 Present worth = Amount × 100 100 + (R × T)

 = 600 × 100 = 600 × 100 = ₹ 500 100 + (5 × 4) 120

Note : No rate is mentioned in the question.

1. A man saves ₹ 25 on the purchase of an article on which a discount of 20% is allowed. How much did the man pay ?
1. ₹ 75
2. ₹ 150
3. ₹ 100
4. ₹ 125

1. ∵  20% ≡ ₹ 25

 ∴  80% ≡ 80 × 25 = ₹ 100 20

##### Correct Option: C

∵  20% ≡ ₹ 25

 ∴  80% ≡ 80 × 25 = ₹ 100 20