## Discount

#### Discount

1. The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the shirt and trousers is 30%, the discount offered on the trousers is
1. 15%
2. 20%
3. 25%
4. 30%

1. Let the marked price of shirt be p and that of trousers be 2p.
Let the discount on the trousers be q%. Then,
According to question ,

 p × 40 + 2p × y = 3p × 30 100 100 100

⇒ 40p + 2pq = 90p
⇒ 2q = 90 – 40

##### Correct Option: C

Let the marked price of shirt be p and that of trousers be 2p.
Let the discount on the trousers be q%. Then,
According to question ,

 p × 40 + 2p × y = 3p × 30 100 100 100

⇒ 40p + 2pq = 90p
⇒ 2q = 90 – 40
 ⇒  q = 50 = 25% 2

1. A dealer buys an article marked at ₹ 25,000 with 20% and 5% off. He spends ₹ 1,000 for its
repair and sells it for ₹ 25,000. What is his gain or loss per cent?
1. Loss of 25%
2. Gain of 25%
3. Gain of 10%
4. Loss of 10%

1.  Equivalent discount = 20 + 5 − 20 × 5 % = 24% 100

 ∴  CP of article = ₹ 25000 × 76 = ₹ 19000 100

Repairs cost = ₹ 1000
∴  Actual CP = 19000 +1000 = ₹ 20000
SP = ₹ 25000
Profit = 25000 –20000 = ₹ 5000
 ∴  Gain% = 5000 × 100 = 25% 20000

##### Correct Option: B

 Equivalent discount = 20 + 5 − 20 × 5 % = 24% 100

 ∴  CP of article = ₹ 25000 × 76 = ₹ 19000 100

Repairs cost = ₹ 1000
∴  Actual CP = 19000 +1000 = ₹ 20000
SP = ₹ 25000
Profit = 25000 –20000 = ₹ 5000
 ∴  Gain% = 5000 × 100 = 25% 20000

1. A shopkeeper gives 12 per cent additional discount after giving an initial discount of 20 per cent on the marked price of a radio. If the sale price of the radio is ₹ 704, the marked price is
1. ₹ 844.80
2. ₹ 929.28
3. ₹ 1,044.80
4. ₹ 1,000

1. Let the marked price of the radio be x.
According to the question,

 x × 80 = 88 = 704 100 100

 ∴  x = 704 × 100 × 100 = ₹ 1000 80 × 88

##### Correct Option: D

Let the marked price of the radio be x.
According to the question,

 x × 80 = 88 = 704 100 100

 ∴  x = 704 × 100 × 100 = ₹ 1000 80 × 88

1. A fan is listed at ₹ 1500 and a discount of 20% is offered on the list price. What additional
discount must be offered to the customer to bring the net price to ₹ 1104 ?
1. 8%
2. 10%
3. 12%
4. 15%

1. After a discount of 20%,
Listed price = 80% of ₹ 1500

 = ₹ 1500 × 80 = ₹ 1200 100

Difference
= ₹ (1200 – 1104) = ₹ 96
Let x % of 1200 = 96
 ⇒  x = 96 × 100 = 8 1200

∴ Second discount = 8%

##### Correct Option: A

After a discount of 20%,
Listed price = 80% of ₹ 1500

 = ₹ 1500 × 80 = ₹ 1200 100

Difference
= ₹ (1200 – 1104) = ₹ 96
Let x % of 1200 = 96
 ⇒  x = 96 × 100 = 8 1200

∴ Second discount = 8%

1. A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is
1. 2%
2. 4.5%
3. 13.5%
4. 15%

1. Let the C.P. of total goods be ₹ 100.
∴  Marked price = ₹ 120

 S.P. of 1 stock 4

 = (80% of 120) × 1 = ₹ 24 4

∴  Loss = ₹ (25 – 24) = ₹ 1
 S.P. of remaining 1 stock 4

 = (60% of 120) × 1 = ₹ 18 4

∴ Loss = ₹ (25 – 18) = ₹ 7
∴  Gain = 10 – 1 – 7
= ₹ 2 i.e., 2%

##### Correct Option: A

Let the C.P. of total goods be ₹ 100.
∴  Marked price = ₹ 120

 S.P. of 1 stock 4

 = (80% of 120) × 1 = ₹ 24 4

∴  Loss = ₹ (25 – 24) = ₹ 1
 S.P. of remaining 1 stock 4

 = (60% of 120) × 1 = ₹ 18 4

∴ Loss = ₹ (25 – 18) = ₹ 7
∴  Gain = 10 – 1 – 7
= ₹ 2 i.e., 2%