General Mathematics

Question: If` 90%` of A `= 30%` of B and B`= x%` of A, then x is equal to :
A
`900`

B
`300`

C
`800`

D
`600`

Note: `90/(100) A` `= 30/(100) B ⇒ B` `= 90/100 xx 100/(30) A` `= 300/(100) A` `= 300% of A.`
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Question: The price of `438` oranges is `Rs. 1384.08`. What will be the approximate price of `8` dozens of oranges ?
A
`Rs. 300`

B
`Rs. 400`

C
`Rs. 500`

D
`Rs. 250`

Note: Less oranges, less cost (Direct) `438 : 96 :: 1384.08 : x` or `x = (96 xx 1384.08)/(438)` `= 303.36`. `:.` Approximate cost `= Rs. 300`.
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Question: `x% of y` is `y%` of ?
A
`x`

B
`x/100`

C
`100 x`

D
`y/100`

Note: `x% of y` `= x/100 xx y` `= y/100` of x `= y% of x.`
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Question: A number increased by `37 1/2%` gives `33`. The number is :
A
`27`

B
`25`

C
`24`

D
`22`

Note: `137 1/2% of x` ` = 33 ⇒ 275/(2 xx 100) x` `= 33` `:. x = ((33 xx 200)/(275))` `= 24`
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Question: The number which when decreased by `27 1/2%` gives `87,` is :
A
`120`

B
`110`

C
`135`

D
`58`

Note: `(100 - 27 1/2)% x` ` = 87 ⇒ 72 1/2% of x` `= 87` `:. 145/(2 xx 100) xx x = 87` `or x = (87 xx 200)/(145)` `= 120.`
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Question: `40` quintals that is what percent of `2` metric tones ?
A
`20%`

B
`2%`

C
`200%`

D
`150%`

Note: None that `1` metric tonne` = 10` quintals :. Required percentage` = ((40)/(2 xx 10) xx 100)%` `= 200%`
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Question: It is known that `20%` of the mangoes are rotten. If the number of rotten mangoes is `35`, then the total number of mangoes is :
A
`150`

B
`175`

C
`180`

D
`185`

Note: `20% of x = 35 ⇒ 20/(100) x` `35 or x = (35 xx 5)` `= 175`.
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Question: If `70%` of students in a school are boys and the number of girls is `504, the number of boys is :
A
`1680`

B
`1176`

C
`1276`

D
None of these

Note: `30% of x` `= ⇒ 504 ⇒ 30/(100) x` `= 504 ⇒ x` `= (504 xx 100/30)` `= 1680` :. Number of boys `= 70% of 1680` `= (70/100 xx 1680)` `= 1176`
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Question: A student has to secure `40%` marks to pass. He gets `178` marks and fails by `22` marks. The maximum marks are :
A
`200`

B
`500`

C
`800`

D
`1000`

Note: `40% of x` `= 178 + 22 or 40/(100) x` `= 200 or x` `= (200 xx 100/40)` `= 500.`
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Question: A house-owner was having his house painted. He was advised that he would require `25` kg of paint. Allowing for `15%` wastage and assuming that the paint is available in `2kg` cans, what would be the cost of paint purchased, if one can cost Rs, `16` ?
A
`Rs. 240`

B
`Rs. 180`

C
`Rs. 160`

D
`Rs. 360`

Note: `15% of x + 25` `= x ⇒ x - 15/(100) x` `= 25 or (17x)/(20 = 25` `or x = (25 xx 20)/17` `= 29.41 or 30 kg.` So, he must purchase `15` cans. Total cost`= Rs. (16 xx 15)` `= Rs. 240`
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Question: If` 90%` of A `= 30%` of B and B`= x%` of A, then x is equal to :

Question: The price of `438` oranges is `Rs. 1384.08`. What will be the approximate price of `8` dozens of oranges ?

Question: `x% of y` is `y%` of ?

Question: A number increased by `37 1/2%` gives `33`. The number is :

Question: The number which when decreased by `27 1/2%` gives `87,` is :

Question: `40` quintals that is what percent of `2` metric tones ?

Question: It is known that `20%` of the mangoes are rotten. If the number of rotten mangoes is `35`, then the total number of mangoes is :

Question: If `70%` of students in a school are boys and the number of girls is `504, the number of boys is :

Question: A student has to secure `40%` marks to pass. He gets `178` marks and fails by `22` marks. The maximum marks are :

Question: A house-owner was having his house painted. He was advised that he would require `25` kg of paint. Allowing for `15%` wastage and assuming that the paint is available in `2kg` cans, what would be the cost of paint purchased, if one can cost Rs, `16` ?