Latest Questions, General Mathematics

Question: A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discount price. If the customer pays Rs. 680.40 as the price including the sales tax, what is the marked price of the item ?
A
Rs. 630

B
Rs. 700

C
Rs. 780

D
None

Note: Let M.P = x Then, `90/(100) x + 8/(100) xx (90 x)/(100)` `= 680.40 => x = 700
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Question: The difference between the cost price and sale price of an article is Rs. 240. If the profit percent is 20. at what price was the article sold ?
A
Rs. 1240

B
Rs. 1400

C
Rs. 1600

D
None of these

Note: Let S.P be Rs. x Then, C.P = (x - 240) `:. (240)/(x - 240) xx 100` `20 => x - 240 = 1200 => x = 1440
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Question: A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If the list price is Rs. 125, then the cost price of the shirt is :
A
Rs. 87

B
Rs. 80

C
Rs. 75

D
Rs. 69

Note: Let C.P be Rs. x. Then, `(115)/(100) x = (69)/(100) xx 125 => x = 75`
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Question: Loss incurred by selling a bicycle for Rs. 895 is equal to the profit earned by selling it for Rs.955. What is the loss/profit in this case ?
A
Rs. 45

B
Rs. 30

C
Rs. 75

D
cannot be determined

Note: Let C.P. be Rs. x. Then, (x - 895) = (955 - x) => x = 925 :. loss = Gain = (925 - 895) = 30
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Question: If 2 kg of almonds cost as much as & kg of walnuts and the cost of 5 kg of almonds and 16 kg of walnuts is Rs. 1080 the cost of almonds per kg is :
A
Rs. 160

B
Rs. 150

C
Rs. 120

D
None of these

Note: Let cost of almonds per kg be Rs. x and cost of walnuts per kg be Rs. y. Then, `2x = 8y => y = x/4` `:. 5x + 16y = 1080 => 5x + 16 xx x/4` `= 1080 => x = 120.
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Question: A manufacture sells a pair of glasses to a wholesale dealer at a profit of 18% The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. The cost price of the manufacturer is :
A
Rs. 15

B
Rs. 16

C
Rs. 17

D
Rs. 18

Note: `(125)/(100) 0f (120)/(100) of (118)/(100) x = 30.09` `:. x = ((30.09 xx 100 xx 100 xx 100)/(125 xx 120 xx 118))` `= ((3009 xx 4)/(6 xx 118))` `= 17`
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Question: Chatterjee bought a car and got 15% of its original price as dealer,s discount. He then sold it with 20% profit on his purchase price. What percentage profit did he get on the original price of the car ?
A
2%

B
12%

C
5%

D
17%

Note: Let the original price be Rs. 100 price after dealer,s discount = Rs. 85 `S.P = (120)/(100) xx 85 = 102` `:. profit = 2% on original price
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Question: If the difference between selling a shirt at a profit of 10% and 15% is Rs. 10, then the cost price is :
A
Rs. 110

B
Rs. 115

C
Rs. 150

D
Rs. 200

Note: Let C.P. be Rs. x. Then `(115)/(100) x - (110)/(100) x = 10 => 5x` `= 100 xx 10 => x = 200`
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Question: The cost of a shirt after 15% discount is Rs. 102. What was the cost of the shirt before the discount ?
A
Rs. 117

B
Rs. 118

C
Rs. 120

D
Rs. 121

Note: Let the marked price be Rs. x. Then, `(85)/(100) x = 102 => x = ((102 xx 100)/(85))` `= 120`
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Question: If a man reduces the selling price of a fan from Rs. 400 to Rs. 380 his loss increases by 20%. The cost price of the fan is :
A
Rs. 600

B
Rs. 500

C
Rs. 480

D
None

Note: Let C.P. be Rs. x. Two losses are (x - 400) and (x - 380) Increase in loss (x - 380) - (x - 400) = 20 `(20)/(x - 400) xx 100 = 20 => x - 400` `= 100 => x = 500`
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Question: A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discount price. If the customer pays Rs. 680.40 as the price including the sales tax, what is the marked price of the item ?

Question: The difference between the cost price and sale price of an article is Rs. 240. If the profit percent is 20. at what price was the article sold ?

Question: A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If the list price is Rs. 125, then the cost price of the shirt is :

Question: Loss incurred by selling a bicycle for Rs. 895 is equal to the profit earned by selling it for Rs.955. What is the loss/profit in this case ?

Question: If 2 kg of almonds cost as much as & kg of walnuts and the cost of 5 kg of almonds and 16 kg of walnuts is Rs. 1080 the cost of almonds per kg is :

Question: A manufacture sells a pair of glasses to a wholesale dealer at a profit of 18% The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. The cost price of the manufacturer is :

Question: Chatterjee bought a car and got 15% of its original price as dealer,s discount. He then sold it with 20% profit on his purchase price. What percentage profit did he get on the original price of the car ?

Question: If the difference between selling a shirt at a profit of 10% and 15% is Rs. 10, then the cost price is :

Question: The cost of a shirt after 15% discount is Rs. 102. What was the cost of the shirt before the discount ?

Question: If a man reduces the selling price of a fan from Rs. 400 to Rs. 380 his loss increases by 20%. The cost price of the fan is :