Discount

Discount

1. The price of a shirt after 15% discount, is Rs.119. What was the marked price of the shirt before discount?
1. Rs.129
2. Rs.140
3. Rs.150
4. Rs.160

1. Let the marked price of the shirt be Rs. x.
According to the question,
(100 – 15) % of x = 119

 ⇒  x × 85 = 119 100

 ⇒  x = 119 × 100 = Rs. 140 85

Correct Option: B

Let the marked price of the shirt be Rs. x.
According to the question,
(100 – 15) % of x = 119

 ⇒  x × 85 = 119 100

 ⇒  x = 119 × 100 = Rs. 140 85

1. A shop keeper allows 20% discount on the marked price on his articles. Find the marked price of an article for which he charges Rs. 740.
1. Rs. 725
2. Rs. 875
3. Rs. 925
4. Rs. 1040

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

 x × 80 = 740 100

 ⇒  x = Rs. 740 × 100 80

= Rs. 925

Correct Option: C

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

 x × 80 = 740 100

 ⇒  x = Rs. 740 × 100 80

= Rs. 925

1. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If the sells it at 10% discount on marked price then, the profit is :
1. 18%
2. 19%
3. 17%
4. 20%

1. Let the C.P. of article be Rs. 100.
∴  Marked price = Rs. 130

 S.P. = 130 × 90 = Rs. 117 100

∴ Profit% = 17%
OR
 Required profit percent = x + y + xy % 100

 = 30 − 10 − 30 × 10 % = 17% 100

Second Method :
Here, r = 30%
r1 = 10%
 Profit % = r × (100 − r1) − r1 100

 = 30 × (100 − 10) − 10 100

 = 30 × 90 − 10 = 17% 100

Correct Option: C

Let the C.P. of article be Rs. 100.
∴  Marked price = Rs. 130

 S.P. = 130 × 90 = Rs. 117 100

∴ Profit% = 17%
OR
 Required profit percent = x + y + xy % 100

 = 30 − 10 − 30 × 10 % = 17% 100

Second Method :
Here, r = 30%
r1 = 10%
 Profit % = r × (100 − r1) − r1 100

 = 30 × (100 − 10) − 10 100

 = 30 × 90 − 10 = 17% 100

1. The marked price of a CD is Rs. 250. It is sold for Rs. 225. The rate of discount is :
1. 2.5%
2. 10%
3. 25%
4.  11 1 % 9

1. Marked price = Rs. 250
S.P. = Rs. 225
Discount = 250 – 225 = Rs. 25
If the rate of discount be x%, then

 250 × x = 25 100

 ⇒  x = 25 × 100 = 10% 250

Second Method : Here, M.P. = Rs. 250, S.P. = Rs. 225
 Discount % = M.P. − S.P. = 100% M.P.

 = 250 − 225 × 100% = 10% 250

Correct Option: B

Marked price = Rs. 250
S.P. = Rs. 225
Discount = 250 – 225 = Rs. 25
If the rate of discount be x%, then

 250 × x = 25 100

 ⇒  x = 25 × 100 = 10% 250

Second Method : Here, M.P. = Rs. 250, S.P. = Rs. 225
 Discount % = M.P. − S.P. = 100% M.P.

 = 250 − 225 × 100% = 10% 250

1. After allowing a discount of 20%, a radio is available for Rs. 1200. Its marked price was :
1. Rs. 1550
2. Rs. 1500
3. Rs. 1800
4. Rs. 1400

1. Let the marked price of radio be Rs. x.
According to the question,
80% of x = 1200

 ⇒ x × 80 = 1200 100

Second Method : Here, D = 20%, S.P. = Rs. 1200, M.P. = ?
 M.P. = S.P. × 100 100 − D

 = 1200 × 100 100 − 20

 M.P. = 120000 80

M.P. = Rs. 1500

Correct Option: B

Let the marked price of radio be Rs. x.
According to the question,
80% of x = 1200

 ⇒ x × 80 = 1200 100

Second Method : Here, D = 20%, S.P. = Rs. 1200, M.P. = ?
 M.P. = S.P. × 100 100 − D

 = 1200 × 100 100 − 20

 M.P. = 120000 80

M.P. = Rs. 1500