Discount
 The marked price of a radio is ₹ 4,800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be

 18%
 20%
 22%
 25%

View Hint View Answer Discuss in Forum
Here , marked price of a radio = ₹ 4,800 , discount = 10% and gains = 8%
Let CP of radio be Rs. y.
According to the question,108y = 4800 × 90 = 4320 100 100 ⇒ y = 4320 × 100 = ₹ 4000 108
Gain = 4800  4000 = ₹ 800
If no discount is allowed,thenGain percent = 800 × 100 = 20% 4000
Second method :
Given Here , M.P. = ₹ 4800, D = 10%, r = 8%
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: B
Here , marked price of a radio = ₹ 4,800 , discount = 10% and gains = 8%
Let CP of radio be Rs. y.
According to the question,108y = 4800 × 90 = 4320 100 100 ⇒ y = 4320 × 100 = ₹ 4000 108
Gain = 4800  4000 = ₹ 800
If no discount is allowed,thenGain percent = 800 × 100 = 20% 4000
Second method :
Given Here , M.P. = ₹ 4800, D = 10%, r = 8%
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 4800 = 100 + 8 C.P. 100 − 10 C.P. = 4800 × 90 = 4000 108 Gain % (without discount) = 4800 − 4000 × 100 4000 Gain % = 800 × 100 = 20% 4000
 After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is

 15%
 18%
 21%
 25%
 15%

View Hint View Answer Discuss in Forum
Let the C.P. of article be ₹ 100 and its marked price be y.
Discount = 16% and gain = 5%∴ y × 84 = 105 100 ⇒ y = 105 × 100 = 125 84
Difference = 125  100 = 25
∵ C.P. of article = ₹ 100
∴ Required percentage = 25%
Second method to solve this question :
Here, r = 5% , D = 16%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Let the C.P. of article be ₹ 100 and its marked price be y.
Discount = 16% and gain = 5%∴ y × 84 = 105 100 ⇒ y = 105 × 100 = 125 84
Difference = 125  100 = 25
∵ C.P. of article = ₹ 100
∴ Required percentage = 25%
Second method to solve this question :
Here, r = 5% , D = 16%
Using the given formula ,M.P. = 100 + r C.P. 100 − D M.P. = 100 + 5 = 105 C.P. 100 − 16 84 Required Percentage = 105 − 84 × 100 = 25% 84
 A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be

 56.25%
 25.56%
 50.25%
 54.25%

View Hint View Answer Discuss in Forum
Let the marked price = ₹ 100
∴ S.P after discount of 20% = ₹ 80
Profit = 25%∴ CP = ₹ 100 ×80 = ₹ 64 125
Profit after selling on marked price= 100 – 64 = ₹ 36∴ Gain % = 36 × 100 = 56.25% 64
Second method to solve this question :
Here, D = 20%,r = 25%
Let, M.P. be ₹ 100M.P. = 100 + r C.P. 100 − D
Correct Option: A
Let the marked price = ₹ 100
∴ S.P after discount of 20% = ₹ 80
Profit = 25%∴ CP = ₹ 100 ×80 = ₹ 64 125
Profit after selling on marked price= 100 – 64 = ₹ 36∴ Gain % = 36 × 100 = 56.25% 64
Second method to solve this question :
Here, D = 20%,r = 25%
Let, M.P. be ₹ 100M.P. = 100 + r C.P. 100 − D 100 = 100 + 25 C.P. 100 − 20 C.P. = 100 × 80 = ₹ 64 125
Profit = 100 – 64 = 36Gain % = 36 × 100% = 56.25% 64
 In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of

 30%
 32%
 33%
 35%

View Hint View Answer Discuss in Forum
Given in question , discount = 10%
Let the marked price be ₹ 100.
∴ S.P. = 90% of 100 = ₹ 90
Profit = 17%C.P.= ₹ 90 × 100 117 C.P. = ₹ 1000 13
If no discount is allowed, S.P. = ₹ 100Profit = ₹ 100 − 1000 = ₹ 300 13 13 ∴ Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
Second method :
Here, D = 10%, r = 17%,
Let the M.P. = ₹ 100
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Given in question , discount = 10%
Let the marked price be ₹ 100.
∴ S.P. = 90% of 100 = ₹ 90
Profit = 17%C.P.= ₹ 90 × 100 117 C.P. = ₹ 1000 13
If no discount is allowed, S.P. = ₹ 100Profit = ₹ 100 − 1000 = ₹ 300 13 13 ∴ Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
Second method :
Here, D = 10%, r = 17%,
Let the M.P. = ₹ 100
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 100 = 100 + 17 C.P. 100 − 10 100 = 117 C.P. 90 C.P. = 100 × 90 = 1000 117 13
Profit = S.P. – C.P.Profit = 100 − 1000 13 Profit = Rs. 300 13 Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
 The price that Akbar should mark on a pair of shoes which costs him ₹ 1,200 to gain 12% after allowing a discount of 16% (in rupees) is

 1,344
 1,433
 1,600
 1,500

View Hint View Answer Discuss in Forum
Given that , Cost price of pair of shoes = ₹ 1,200 , Gain = 12%
Let the marked price be y.∴ y × 84 = 1200 × 112 100 100 = y × 80 = 112 × 12 400 ⇒ y = 112 × 1200 = ₹ 1600 84
Second method :
Given Here , C.P. = ₹ 1200, r = 12%, D = 16%M.P. = 100 + r C.P. 100 − D
Correct Option: C
Given that , Cost price of pair of shoes = ₹ 1,200 , Gain = 12%
Let the marked price be y.∴ y × 84 = 1200 × 112 100 100 = y × 80 = 112 × 12 400 ⇒ y = 112 × 1200 = ₹ 1600 84
Second method :
Given Here , C.P. = ₹ 1200, r = 12%, D = 16%M.P. = 100 + r C.P. 100 − D M.P. = 100 + 12 1200 100 − 16 M.P. = 112 × 1200 = ₹ 1600 84