Percentage, General Mathematics

Question: If `x%` of y is the same as`4/5` of `80`, then the value of `xy` is :
A
`320`

B
`400`

C
`640`

D
None

Note: `x/(100) xx y` `= 4/5 xx 80 ⇒ xy` `= 64 xx 100` `= 6400`
1. Report
Question: Subtracting `6%` of x from x is equivalent to multiplying x by how much ?
A
`.94`

B
`9.4`

C
`.094`

D
`94`

Note: Let `x - 6% of x = xz.` Then,`94% of x = xz` `or 94/(100) x xx 1/x = z` `or z = .94`
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Question: If` 8% of x = 4%` of y, then` 20%` of x is :
A
`10%` of y

B
`16%` of y

C
`80%` of y`

D
None of these

Note: `8/(100) x` ` = 4/(100) y ⇒ x` `= (4/(100) y xx 100/8)` `= 1/(2) y`
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Question: `(x% of y + y% of x) = ?`
A
`x%` of y

B
`y%` of x

C
`2%` of xy

D
`xy% of 3`

Note: `x/(100) y + y/(100) x` `= (2xy)/(100)` `= 2% of xy.`
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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: `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`
1. Report
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%`
1. Report
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`.
1. Report

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Question: If `x%` of y is the same as`4/5` of `80`, then the value of `xy` is :

Question: Subtracting `6%` of x from x is equivalent to multiplying x by how much ?

Question: If` 8% of x = 4%` of y, then` 20%` of x is :

Question: `(x% of y + y% of x) = ?`

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

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 :