## Discount

#### Discount

1. Applied to a bill for ₹ 1,00,000 the difference between a discount of 40 % and two successive discounts of 36 % and 4 % is :
1. Nil
2. ₹ 1,440
3. ₹ 2,500
4. ₹ 4,000

1. As we know the formula for two successive discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2
 Successive discounts of 36 % and 4 % is overall equals to = 36 + 4 − 36 × 4 % 100

##### Correct Option: C

As we know the formula for two successive discount.

 Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100

Where D1 = Discount 1 and D2 = Discount 2
 Successive discounts of 36 % and 4 % is overall equals to = 36 + 4 − 36 × 4 % 100

= 38.56%
∴  Percentage difference = 40 – 38.56 = 1.44%
Difference between discount = 1.44% of 100000
 = 1.44 × 100000 = ₹ 1440 100

1.  A salesman is allowed 5 1 % discount on the total 2
 sales madeby him plus a bonus of 1 % on sales 2
over ₹ 10,000. If his total earnings were ₹ 1,990, his total sales (in ₹ ) was
1. 30,000
2. 32,000
3. 34,000
4. 35,000

1. Let the salesman’s total sales be (10000 + x)
According to the question,

 10000 × 11 % + x × 6% = 1990 2

⇒ 5000 × 11% + 6x% = 1990
⇒ 5000 × 11 + 6x = 199000
⇒ 6x = 199000 – 55000
⇒ 6x = 144000
 ⇒  x = 144000 = 24000 6

∴  The required sales
= 24000 + 10000 = ₹ 34,000

##### Correct Option: C

Let the salesman’s total sales be (10000 + x)
According to the question,

 10000 × 11 % + x × 6% = 1990 2

⇒ 5000 × 11% + 6x% = 1990
⇒ 5000 × 11 + 6x = 199000
⇒ 6x = 199000 – 55000
⇒ 6x = 144000
 ⇒  x = 144000 = 24000 6

∴  The required sales
= 24000 + 10000 = ₹ 34,000

1. A shopkeeper buys an article for ₹ 360. He wants to make a gain of 25% on it after a discount of 10%. The marked price is
1. ₹ 486
2. ₹ 450
3. ₹ 500
4. ₹ 460

1. Marked price of the article = ₹ x.

 ∴ x × 90 = 360 × 125 100 100

 ⇒ 9x = 90 × 5 10

 ⇒  x = 90 × 5 × 10 = ₹ 500 9

Second method :
C.P. = ₹ 360
r = 25%, D = 10%, M.P. = ?
 M.P. = 100 + r C.P. 100 − D

 M.P. = 100 + 25 360 100 − 10

 M.P. = 125 × 360 = ₹ 500 90

##### Correct Option: C

Marked price of the article = ₹ x.

 ∴ x × 90 = 360 × 125 100 100

 ⇒ 9x = 90 × 5 10

 ⇒  x = 90 × 5 × 10 = ₹ 500 9

Second method :
C.P. = ₹ 360
r = 25%, D = 10%, M.P. = ?
 M.P. = 100 + r C.P. 100 − D

 M.P. = 100 + 25 360 100 − 10

 M.P. = 125 × 360 = ₹ 500 90

1. A discount of 16% on the marked price of a book enables a man to buy a pen that costs ₹ 80. How much did he pay for the book ?
1. ₹ 500
2. ₹ 480
3. ₹ 420
4. ₹ 340

1. Given that , discount = 16%
Let the amount paid (S.P.) be P.
According to question ,
∴  16% of P = 80

 ⇒  P = 80 ×100 16

##### Correct Option: A

Given that , discount = 16%
Let the amount paid (S.P.) be P.
According to question ,
∴  16% of P = 80

 ⇒  P = 80 ×100 16

∴  P = ₹ 500
Hence , the amount paid (S.P.) be ₹ 500 .