Discount
 Marked price of an article is ₹ 275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is

 ₹ 250
 ₹ 225
 ₹ 215
 ₹ 210

View Hint View Answer Discuss in Forum
Given Here , Marked price of an article = ₹ 275
profit = 4.5% , discount = 5%
Let C.P. of article be y∴ y × 104.5 = 275 × 95 100 100
⇒ y × 104.5 = 275 × 95⇒ y = 275 × 95 = ₹ 250 104.5
Second method :
Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Given Here , Marked price of an article = ₹ 275
profit = 4.5% , discount = 5%
Let C.P. of article be y∴ y × 104.5 = 275 × 95 100 100
⇒ y × 104.5 = 275 × 95⇒ y = 275 × 95 = ₹ 250 104.5
Second method :
Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D 275 = 100 + 4.5 C.P. 100 − 5 C.P. = 275 × 95 = ₹ 250 104.5
 The marked price of a radio is ₹ 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be

 18%
 18.5%
 20.5%
 20%

View Hint View Answer Discuss in Forum
Given that , The marked price of a radio = ₹ 480
If the CP of radio be y, then108 of y = 480 × 90 100 100 ⇒ y × 108 = 432 100 ⇒ y = 432 × 100 = ₹ 400 108 Gain percent (if no discount is allowed) = 80 × 100 = 20% 400
Second method :
Here, r = 8%, D = 10%, M.P. = ₹ 480
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , The marked price of a radio = ₹ 480
If the CP of radio be y, then108 of y = 480 × 90 100 100 ⇒ y × 108 = 432 100 ⇒ y = 432 × 100 = ₹ 400 108 Gain percent (if no discount is allowed) = 80 × 100 = 20% 400
Second method :
Here, r = 8%, D = 10%, M.P. = ₹ 480
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 480 = 100 + 8 C.P. 100 − 10 C.P. = 480 × 90 = ₹ 400 108 Gain % (without discount) = S.P. − C.P. × 100 C.P. Gain % = 480 − 400 × 100 400 Gain % = 80 × 100 = 20% 400
 A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is

 45 : 56
 45 : 51
 47 : 56
 47 : 51
 45 : 56

View Hint View Answer Discuss in Forum
Let the CP be 100.
After profit of 12% ,
∴ SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112⇒ y = 112 × 100 = ₹ 1120 90 9 ∴ Required ratio = 100 : 1120 9
Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%M.P. = 100 + r C.P. 100 − D
Correct Option: A
Let the CP be 100.
After profit of 12% ,
∴ SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112⇒ y = 112 × 100 = ₹ 1120 90 9 ∴ Required ratio = 100 : 1120 9
Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%M.P. = 100 + r C.P. 100 − D M.P. = 100 + 12 C.P. 100 − 10 M.P. = 112 C.P. 90 C.P. = 90 M.P. 112 C.P. = 45 M.P. 56
C.P. : M.P. = 45 : 56
 A manufacturer marked an article at ₹ 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was

 ₹ 40
 ₹ 35
 ₹ 32
 ₹ 30

View Hint View Answer Discuss in Forum
Marked price = 50
S.P. after 20% discount = 80% of 50 = ₹ 40
If the CP of article be y, then125 × y = 40 100 ⇒ y = 40 × 100 = ₹ 32 125
Second method :
Here, M.P. = ₹ 50, C.P. = ?, r = 25%, D = 20%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: C
Marked price = 50
S.P. after 20% discount = 80% of 50 = ₹ 40
If the CP of article be y, then125 × y = 40 100 ⇒ y = 40 × 100 = ₹ 32 125
Second method :
Here, M.P. = ₹ 50, C.P. = ?, r = 25%, D = 20%
Using the given formula ,M.P. = 100 + r C.P. 100 − D 50 = 100 + 25 C.P. 100 − 20 C.P. = 50 × 80 = ₹ 32 125
 The marked price of an electric iron is ₹ 300. The shopkeeper allows a discount of 12% and still gains 10%. If no discount is allowed, his gain per cent would have been :

 20%
 25%
 27%
 30%

View Hint View Answer Discuss in Forum
Here , The marked price of an electric iron = ₹ 300
Discount = 12%
According to question ,
SP of electric iron = 88% of 300SP of electric iron = ₹ 300 × 88 = ₹ 264 100
Profit = 10%∴ CP of electric iron = 100 × 264 = ₹ 240 110
After no discount,
Gain = 300 – 240 = ₹ 60Gain percent = 60 × 100 = 25% 240
Second Method :
Here, M.P. = ₹ 300, r = 10%, D = 12%.
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: B
Here , The marked price of an electric iron = ₹ 300
Discount = 12%
According to question ,
SP of electric iron = 88% of 300SP of electric iron = ₹ 300 × 88 = ₹ 264 100
Profit = 10%∴ CP of electric iron = 100 × 264 = ₹ 240 110
After no discount,
Gain = 300 – 240 = ₹ 60Gain percent = 60 × 100 = 25% 240
Second Method :
Here, M.P. = ₹ 300, r = 10%, D = 12%.
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 300 = 100 + 10 C.P. 100 − 12 C.P. = 300 × 88 110 Gain % (without discount) = 300 − 240 × 100 = 25% 240