Latest Questions, General Mathematics

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`
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Question: A wholesaler gains 25% by selling a commodity and a retailer gains 30% by selling it. If the retail value of that commodity is Rs. 325, then the wholesale value is :
A
Rs. 200

B
Rs. 225

C
Rs. 245

D
Rs.255

Note: Retailer,s value` = (100/130 xx 325) = 250` Wholesaler,s value` = (100/125 xx 250) = 200`
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Question: A shopkeeper decides to give 5% commission on the marked price of an article but also wants to earn 10% profit. If the cost price is Rs. 95, then the marked price is :
A
Rs. 100

B
Rs.105

C
Rs.110

D
Rs.115

Note: S.P` = ((110)/(100) xx 95)` `= ((209)/(2))` commission = 50% :. M.P.` = (110/95 xx 209/2) = 110.`
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Question: A bag contains 25-p, 10 p-and-p coins in the ratio 1 : 2 : 3. If the total value is Rs. 30, the number of 5-p coins is :
A
50

B
100

C
200

D
150

Note: Let these coins be x 2x and 3x. Then, `25/(100) x + 10/(100) xx 2x + 5/(100) xx 3x => 60 x` ` = 30 xx 100 => x = 50` Number of 5 p- coins = 3x = 150
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Question: If (x + y) : (x - y) = 4 : 1, then `(x^2 + y^2) : (x^2 - y^2) = ?`
A
25 : 9

B
16 :1

C
8 : 17

D
17 : 8

Note: `(x + y)/(x - y) = 4/1 => x + y` `= 4x - 4y => 3x = 5y => x/y = 5/3.` `:. (x^2 + y^2)/(x^2 - y^2)` `= (x^2/(y^2) + 1)/(x^2/(y^2) - 1)` `= ((x/y)^2 + 1)/((x/y)^2 - 1)` `= 34/16 = 17/8`
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Question: `9^(3.04) : 9^(2.04) = ?`
A
1 : 9

B
3 : 2

C
76 : 51

D
None of these

Note: `(9^(3.04))/(9^(2.04))` ` = 9^(3.04 - 2.04)` `= 9^1 = 9/1.`
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Question: If a : b = b : c, then` a^4 : b^4 = ?`
A
`ac = b^2`

B
`a^2 : c^2`

C
`c^2 : a^2`

D
`b^2 : ac`

Note: Let` a/b = b/c =k.` Then, `b = ck and a = bk = ck^2` `:. a^4/b^4 = (c^4 k^8)/(c^4 k^4)` `= k^4 and a^2/c^2 = (c^2 k^4)/c^2 = k^4` Hence,` a^4/b^4` `= a^2/c^2`
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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 ?

Question: A wholesaler gains 25% by selling a commodity and a retailer gains 30% by selling it. If the retail value of that commodity is Rs. 325, then the wholesale value is :

Question: A shopkeeper decides to give 5% commission on the marked price of an article but also wants to earn 10% profit. If the cost price is Rs. 95, then the marked price is :

Question: A bag contains 25-p, 10 p-and-p coins in the ratio 1 : 2 : 3. If the total value is Rs. 30, the number of 5-p coins is :

Question: If (x + y) : (x - y) = 4 : 1, then `(x^2 + y^2) : (x^2 - y^2) = ?`

Question: `9^(3.04) : 9^(2.04) = ?`

Question: If a : b = b : c, then` a^4 : b^4 = ?`