## Discount

#### Discount

1. A retailer buys a sewing machine at a discount of 15% and sells it for ₹ 1955. Thus he makes a profit of 15%. The discount is
1. ₹ 270
2. ₹ 290
3. ₹ 300
4. ₹ 310

1. Marked price of sewing machine = Rs. x

 C.P. for the retailer = 1955 × 100 = Rs. 1700 115

 ∴  x × 85 = 1700 100

 ⇒  x = 1700 × 100 = Rs. 2000 85

∴  Discount = 2000 – 1700 = Rs. 300

##### Correct Option: C

Marked price of sewing machine = Rs. x

 C.P. for the retailer = 1955 × 100 = Rs. 1700 115

 ∴  x × 85 = 1700 100

 ⇒  x = 1700 × 100 = Rs. 2000 85

∴  Discount = 2000 – 1700 = Rs. 300

1. A trader who marks his goods up to 50% offered a discount of 20%. What % profit the trader makes after offering the payment ?
1. 30%
2. 70%
3. 20%
4. 50%

1.  ∴  Required discount = 50 − 20 − 50 × 20 % = 20% 100

Detailed Method
C.P. of article = Rs. 100
Marked price = Rs. 150
 S.P. = 150 × 80 = Rs. 120 100

Gain per cent = 20%

##### Correct Option: C

 ∴  Required discount = 50 − 20 − 50 × 20 % = 20% 100

Detailed Method
C.P. of article = Rs. 100
Marked price = Rs. 150
 S.P. = 150 × 80 = Rs. 120 100

Gain per cent = 20%

1. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is
1. 3 : 4
2. 4 : 3
3. 10 : 17
4. 20 : 17

1. Let C.P. of article be = ₹ x

 ∴  S.P. =₹ 85x 100

 ∴  Required ratio = x : 85x = 100 : 85 = 20 : 17 100

##### Correct Option: D

Let C.P. of article be = ₹ x

 ∴  S.P. =₹ 85x 100

 ∴  Required ratio = x : 85x = 100 : 85 = 20 : 17 100

1. X purchased an item at a discount of 10% and sold it to Y at 10% profit. The marked price and the price for which Y purchased the item are in ratio
1. 1 : 1
2. 10 : 99
3. 20 : 99
4. 100 : 99

1. Marked price of article = ₹ x

 C.P. for X = 90x = ₹ 9x 100 10

 C.P. for Y = 9x × 110 = ₹ 99x 100 100

 ∴  Required ratio = x : 99x = 100 : 99 100

##### Correct Option: D

Marked price of article = ₹ x

 C.P. for X = 90x = ₹ 9x 100 10

 C.P. for Y = 9x × 110 = ₹ 99x 100 100

 ∴  Required ratio = x : 99x = 100 : 99 100

1. The discount on a certain sum of money,
 due at the end of 2 1 years at 2 2 % p.a. is ₹ 78. 4 3
Find the sum.
1. ₹ 1,278
2. ₹ 1,300
3. ₹ 1,378
4. ₹ 1,400

1.  Sum = discount × 100 time × rate

 = 78 × 100 9 × 8 4 3

 = 78 × 100 = ₹ 1300 6

##### Correct Option: B

 Sum = discount × 100 time × rate

 = 78 × 100 9 × 8 4 3

 = 78 × 100 = ₹ 1300 6