## Discount

#### Discount

1. If the discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain percent is :
1. 5%
2.  6 1 % 4
3.  6 2 % 3
4.  7 5 % 8

1. Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
Case I

 = q × 90 = 120 100

 ⇒  q = 120 × 100 90

 Marked price q = Rs. 400 3

Case II
 S.P. = q × 80 = Rs. 4q 100 5

 = Rs. 4 × 400 = Rs. 320 5 3 3

 ∴  Profit = Rs. 320 − 100 3

##### Correct Option: C

Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
Case I

 = q × 90 = 120 100

 ⇒  q = 120 × 100 90

 Marked price q = Rs. 400 3

Case II
 S.P. = q × 80 = Rs. 4q 100 5

 = Rs. 4 × 400 = Rs. 320 5 3 3

 ∴  Profit = Rs. 320 − 100 3

 Profit = Rs. 320 − 300 3

 Profit = Rs. 20 3

 ∴  Profit percent = 20 % 3

 Profit percent = 6 2 % 3

1. A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount.
1. 30%
2. 23%
3. 27%
4. 37%

1. Let C.P of article = Rs. 100
M.P. of article = Rs. k
According to the question,

 k × 90 = 117 100

 ⇒  k = 117 × 100 = Rs. 130 90

##### Correct Option: A

Let C.P of article = Rs. 100
M.P. of article = Rs. k
According to the question,

 k × 90 = 117 100

 ⇒  k = 117 × 100 = Rs. 130 90

marked price = k = Rs. 130
∴  On allowing no discount profit = 30%

1. Ram bought a T.V. with 20 % discount on the labelled price. Had he bought it with 30 % discount he would have saved ₹ 800. The value of the T.V. set that he bought is
1. ₹ 5,000
2. ₹ 8,000
3. ₹ 9,000
4. ₹ 10,000

1. Let Marked price of TV = Rs. q
According to question,

 q × 80 − q × 70 = 800 100 100

 ⇒ 10q = 800 100

##### Correct Option: B

Marked price of TV = Rs. q (let)
According to question,

 q × 80 − q × 70 = 800 100 100

 ⇒ 10q = 800 100

 ⇒  q = 800 × 100 = Rs. 8000 10

1. A shopkeeper allows 10% discount on goods when he sells without credit. Cost price of his goods is 80% of his selling price. If he sells his goods by cash, then his profit is
1. 50%
2. 70%
3. 25%
4. 40%

1. Let Marked price of article= Rs. p

 ∴ S.P. of article = 90p 100

 = Rs. 9p 10

 ∴  C.P. = 80p × 9p = 36p 100 × 10 50

 ∴  Gain = 9p − 36p 10 50

##### Correct Option: C

Let Marked price of article= Rs. p

 ∴ S.P. of article = 90p 100

 = Rs. 9p 10

 ∴  C.P. = 80p × 9p = 36p 100 × 10 50

 ∴  Gain = 9p − 36p 10 50

 Gain = 45p − 36p = Rs. 9p 50 50

 ∴  Gain %= 9p/50 × 100 = 25 % 36p/50

1. A cycle dealer offers a discount of 10 % and still makes a profit of 26 %. What does he pay for a cycle whose marked price is ₹ 840 ?
1. ₹ 600
2. ₹ 650
3. ₹ 700
4. ₹ 750

1. Let C.P. of cycle = Rs. p

 ∴  840 × 90 = p × 126 100 100

2nd method to solve this question.
Here, r = 26%, D = 10%, M.P. = ₹ 840
 M.P. = 100 + r C.P. 100 − D

##### Correct Option: A

Let C.P. of cycle = Rs. p

 ∴  840 × 90 = p × 126 100 100

⇒  p × 126 = 840 × 90
 ⇒  p = 840 × 90 = ₹ 600 126

2nd method to solve this question.
Here, r = 26%, D = 10%, M.P. = ₹ 840
 M.P. = 100 + r C.P. 100 − D

 840 = 100 + 26 M.P. 100 − 10

 C.P. = 840 × 90 = Rs. 600 126