Discount
 After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by

 25%
 30%
 37.5%
 42.5%

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Given that , discount = 12% and gains = 21%
C.P. of article = ₹ 100
Marked price be y .∴ y × 88 = 121 100 ⇒ y = 121 × 100 = ₹ 137.5 88
∴ 137.5  100 = ₹ 37.5 i.e. 37.5% above C.P.
Second method to solve this question :
Here, r = 12% , R = 21%
With the help of given formula ,Required percentage = r + R × 100 % 100 − r
Correct Option: C
Given that , discount = 12% and gains = 21%
C.P. of article = ₹ 100
Marked price be y .∴ y × 88 = 121 100 ⇒ y = 121 × 100 = ₹ 137.5 88
∴ 137.5  100 = ₹ 37.5 i.e. 37.5% above C.P.
Second method to solve this question :
Here, r = 12% , R = 21%
With the help of given formula ,Required percentage = r + R × 100 % 100 − r Required percentage = 12 + 21 × 100% 100 − 12 Required percentage = 33 × 100% 88 = 3 × 100 8 Required percentage = 300 % = 37.5% 8
 How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

 50%
 40%
 60%
 45%

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Given in question , Profit = 32% and discount = 12%
Let the C.P. be 100 and the marked price be y.∴ y × 88 = 132 100 ⇒ x = 132 × 100 88
= 150 i.e., more by 50%
Second method to solve this question :
Here, r = 12% , R = 32%Required percentage = r + R × 100 % 100 − r
Correct Option: A
Given in question , Profit = 32% and discount = 12%
Let the C.P. be 100 and the marked price be y.∴ y × 88 = 132 100 ⇒ x = 132 × 100 88
= 150 i.e., more by 50%
Second method to solve this question :
Here, r = 12% , R = 32%Required percentage = r + R × 100 % 100 − r Required percentage = 12 + 32 × 100% 100 − 12 Required percentage = 44 × 100 = 50% 88
 A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is ₹ 170 ?

 ₹ 240
 ₹ 260
 ₹ 220
 ₹ 200

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Here , Cost price = ₹ 170 , discount = 15% , profit = 20%
If the marked price be y, theny × 85 = 170 × 120 100 100 ⇒ y = 170 × 120 = ₹ 240 85
Second method :
Given Here, D = 15% , r = 20% , C.P. = ₹ 170
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Here , Cost price = ₹ 170 , discount = 15% , profit = 20%
If the marked price be y, theny × 85 = 170 × 120 100 100 ⇒ y = 170 × 120 = ₹ 240 85
Second method :
Given Here, D = 15% , r = 20% , C.P. = ₹ 170
Using the given formula ,M.P. = 100 + r C.P. 100 − D M.P. = 100 + 20 170 100 − 15 M.P. = 120 170 85 M.P. = 120 × 170 = ₹ 240 85

A trader allows a trade discount of 20% and a cash discount of 6 1 % on the 4
marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale ?

 40%
 50%
 60%
 70%

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Let C.P. of article = ₹ 100
Marked price = ySingle equivalent discount for a% and b% = a + b  a × b % 100
Here , a = 20% , b = ( 25 /4 )%Single equivalent discount = 20 + 25 − 20 × 25 % = 25% 4 400
Correct Option: C
Let C.P. of article = ₹ 100
Marked price = ySingle equivalent discount for a% and b% = a + b  a × b % 100
Here , a = 20% , b = ( 25 /4 )%Single equivalent discount = 20 + 25 − 20 × 25 % = 25% 4 400
On 25% discount ,∴ y × 75 = 120 100 ⇒ y = 120 × 100 = ₹ 160 75
Marked price = ₹ 160
⇒ 160 – 100 = 60Required percent = 60 × 100 = 60% 100
 An article of cost price ₹ 8,000 is marked at ₹ 11,200. After allowing a discount of x% a profit of 12% is made. The value of x is

 21%
 20%
 22%
 23%

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Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200
S.P. for a profit of 12% = 8000 × 112 = ₹ 8960 100
∴ Discount = marked price  S.P.
∴ Discount = 11200 – 8960 =₹ 2240
If the discount percent be x, then11200 × x = 2240 100 x = 2240 × 100 = 20% 11200
Second method :
Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: B
Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200
S.P. for a profit of 12% = 8000 × 112 = ₹ 8960 100
∴ Discount = marked price  S.P.
∴ Discount = 11200 – 8960 =₹ 2240
If the discount percent be x, then11200 × x = 2240 100 x = 2240 × 100 = 20% 11200
Second method :
Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
Using the given formula ,M.P. = 100 + r C.P. 100 − D 11200 = 100 + 12 8000 100 − x = 11200 = 112 8000 100 − x
⇒ 100 – x = 80
⇒ x = 20%