Discount
 A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives ₹ 1064 after paying the discount. His profit is

 ₹ 264
 ₹ 164
 ₹ 200
 ₹ 800

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Given that , discount = 5%
Suppose Cost price of article = ₹ y∴ y × 140 × 95 = 1064 100 100
Correct Option: D
Given that , discount = 5%
Suppose Cost price of article = ₹ y∴ y × 140 × 95 = 1064 100 100 ⇒ y = 1064 × 100 × 100 = ₹ 800 140 × 95
Hence , Cost price of article is ₹ 800 .
 A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is

 5%
 4%
 2%
 1%

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If the C.P. of goods be ₹ 100, then
Marked price = ₹ 120
discount = 15%∴ S.P. = 120 × 85 = ₹ 102 100
Profit = S.P.  C.P. = 102  100 = ₹ 2Hence, Required percent = 2 × 100 = 2% 100
Second method :
Here, r = 20%, r_{1} = 15%
Using the given formula ,Gain % = r × (100 − r_{1}) − r_{1} 100
Correct Option: C
If the C.P. of goods be ₹ 100, then
Marked price = ₹ 120
discount = 15%∴ S.P. = 120 × 85 = ₹ 102 100
Profit = S.P.  C.P. = 102  100 = ₹ 2Hence, Required percent = 2 × 100 = 2% 100
Second method :
Here, r = 20%, r_{1} = 15%
Using the given formula ,Gain % = r × (100 − r_{1}) − r_{1} 100 Gain % = 20 × (100 − 15) − 15 100 = 20 × 85 − 15 100
Gain % = 17 – 15 = 2%
 How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?

 70%
 50%
 60%
 55%

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Given that , discount = 25% and gains = 20%
Let C.P.of article = 100
If the marked price of article be y, theny × 75 = 120 100 ⇒ y = 120 × 100 = 160 75
⇒ 160  100 = ₹ 60 i.e. 60% above the cost price .
Second method to solve this question :
Here . r = 25%, R = 20%Required percentage = r + R × 100 % 100 − r
Correct Option: C
Given that , discount = 25% and gains = 20%
Let C.P.of article = 100
If the marked price of article be y, theny × 75 = 120 100 ⇒ y = 120 × 100 = 160 75
⇒ 160  100 = ₹ 60 i.e. 60% above the cost price .
Second method to solve this question :
Here . r = 25%, R = 20%Required percentage = r + R × 100 % 100 − r Required percentage = 25 + 20 × 100% 100 − 25 Required percentage = 45 × 100 = 60% 75
 A grinder was marked at ₹ 3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.

 ₹ 3,000
 ₹ 3,312
 ₹ 3,240
 ₹ 2,960

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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
 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 :

 ₹ 2280
 ₹ 2296
 ₹ 2380
 ₹ 2396

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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