General Mathematics

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: BY selling a vehicle for Rs. 455000, Samant suffers 25% loss, what was his loss ?
A
Rs. 115370

B
Rs. 113570

C
Rs. 113750

D
None of these

Note: C.P` = ((100)/(75) xx 455000)` ` = (1820000)/3` Loss` = ((1820000)/3 - 455000)` `= (455000)/3`
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Question: A dealer offered a machine for sale for Rs. 27500 but even if he had charged 10% less he would have made a profit of 10%. The actual cost of the machine is :
A
Rs. 2450

B
Rs. 22500

C
Rs. 22275

D
Rs.22000

Note: Let the cost of the machine be. x `(110)/(100) x = (90)/(100) xx 27500 => x = 22500`
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Question: A toy car was sold at loss for Rs. 60. Had it been sold for Rs. 81 the gain would have been `3/4` of the former loss. The cost of the toy is :
A
Rs. 65

B
Rs. 72

C
Rs. 80

D
Rs. 86

Note: Let the cost of the toy be Rs.x `3/4 (x - 60) = (81 - x) => 324 - 4x` `= 3x - 180 => x = 72`
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Question: A trader allows a trade discount of 20% and a cash discount of `6 1/4%` on the marked price of the goods and gets a net gain of 20% on the cost. By how much above the cost should the goods be marked for sale ?
A
40%

B
50%

C
60%

D
70%

Note: Let the C.P. be Rs. 100 and marked price be (100 + x) S.P` = (100 - 25/4)/100 of 80/100 xx (100 - x)` `= 15/16 of 4/5 (100 + x)` `= 3/4 (100 + x)` `:. 3/4 (100 + x) = 120 => x = 60`
1. Report

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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 :

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 :

Question: BY selling a vehicle for Rs. 455000, Samant suffers 25% loss, what was his loss ?

Question: A dealer offered a machine for sale for Rs. 27500 but even if he had charged 10% less he would have made a profit of 10%. The actual cost of the machine is :

Question: A toy car was sold at loss for Rs. 60. Had it been sold for Rs. 81 the gain would have been `3/4` of the former loss. The cost of the toy is :

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