Discount
- 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 ?
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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
- 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 ?
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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
- After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by
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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
- A profit of 10% is made after giving a discount of 5% on a T. V. If the marked price of the TV is ₹ 2640.00, the cost price of the TV was :
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Here , profit = 10% and discount = 5%
Let the C.P. of TV be y, theny × 110 = 2640 × 95 100 100 ⇒ y = 2640 × 95 = ₹ 2280 110
Second method :
Here, r = 10% , D = 5% , M.P. = ₹ 2640 , C.P. = ?
We can find required answer with the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Here , profit = 10% and discount = 5%
Let the C.P. of TV be y, theny × 110 = 2640 × 95 100 100 ⇒ y = 2640 × 95 = ₹ 2280 110
Second method :
Here, r = 10% , D = 5% , M.P. = ₹ 2640 , C.P. = ?
We can find required answer with the help of given formula ,M.P. = 100 + r C.P. 100 − D 2640 = 100 + 10 C.P. 100 − 5 C.P. = 2640 × 95 110
C.P. = 24 × 95 = ₹ 2280
- A grinder was marked at ₹ 3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.
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Here , marked price = ₹ 3,600 , discount = 10% , profit = 8%
If the C.P. of grinder be y, theny × 108 = 3600 × 90 = 3240 100 100 ⇒ y = 3240 × 100 = ₹ 3000 108
Second method :
Given that , M.P. = ₹ 3600, D = 10%, r = 8%, C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: A
Here , marked price = ₹ 3,600 , discount = 10% , profit = 8%
If the C.P. of grinder be y, theny × 108 = 3600 × 90 = 3240 100 100 ⇒ y = 3240 × 100 = ₹ 3000 108
Second method :
Given that , M.P. = ₹ 3600, D = 10%, r = 8%, C.P. = ?M.P. = 100 + r C.P. 100 − D 3600 = 100 + 8 C.P. 100 − 10 C.P. = 3600 × 90 108 C.P. = 3600 × 10 = ₹ 3000 12
