Percentage, General Mathematics

Question: The income of a broker remains unchanged though the rate of commission is increased from `4%` to `5%`. The percentage of slump is business is :
A
`1%`

B
``8%`

C
`20%`

D
`80%`

Note: Let the business value changes from x to y. `4% of x` `= 5% of y ⇒ 4/(100) x` `= 5/(100) y ⇒ y` `= 4/(5) x.` change in business `= (x - 4/5 x)` `= x/5` percentage slump `= (x/5 xx 1/x xx 100)%` `= 20%`
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Question: In an examination, there are `3` papers of Mathematics of `100` marks each. A boy secures `60%` in the first paper and `70%` in the second paper. In order to secure `705` in the aggregate the percentage of marks he should secure in third paper will be :
A
`90%`

B
`80%`

C
`75%`

D
`70%`

Note: `60 + 70 + x` `= 70/100 xx 300 or x` `= 80%`
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Question: A candidate scoring `25%` marks in an examination fails by `30` marks while another candidate who scores `50%` marks gets `20` marks more than those required to pass. The pass percentage is :
A
`25%`

B
`35%`

C
`40%`

D
`50%`

Note: Let total marks = x `25% of x + 30` `= (50% of x) - 20` `⇒ 25/(100) x + 30` `= 50/(100) x - 20 ⇒ (x/2 - x/4)` `= 50` `⇒ x/4 = 50 ⇒ x = 200.` :. pass marks `= (25% of 200) + 30` `= (25/100 xx 200 + 30)` `= 80` :. pass percentage `= (80/200 xx 100)%` `= 40%`
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Question: Two numbers are less than a third number by` 30%`and `37%` respectively. How much percent is the second number less than the first ?
A
`10%`

B
`7%`

C
`4%`

D
`3%`

Note: Let, third number be x. Then, First number`= 70% of x = (7x)/10,` Second number`= 63% of x = (63x)/100` Required Percentage `= ((7x)/100 xx 10/(7x) xx 100)%` `= 10%`
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Question: A bag contains `600` coins of `25 p` denomination and `1200` coins of `50p` denomination. If `12%` of `25%` coins and `24%` of 50p coins are removed, the percentage of money removed from the bag is nearly :
A
`30%`

B
`21.6%`

C
`17.8%`

D
`15.6%`

Note: Total money `= (600 xx 25/100 + 1200 xx 50/100)` `= Rs. 750.` `25` paise coins removed `= (12/100 xx 600)` `= 72` `50` paise coins removed `= (24/100 xx 1200)` `= 288` Money removed `= (72 xx 25/100 + 288 xx 50/100)` `= Rs. 162` Required percentage `= (162/750 xx 100)%` `= 21.6%`
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Question: `5%` of income of A is equal to `15%` of income of B and `10%` of income of B is equal to `20%` of income c. If income of c is Rs.` 2000, then total income of A, B & C is :
A
`Rs. 6000`

B
`Rs. 18000.`

C
`Rs. 20000`

D
`Rs. 14000`

Note: `5/(100) A` `= 15/(100) B & 10/(100) B` `= 20/(100) C` `:. A = 3B and B = 2C` `= 2 xx 2000` `= 4000` `:.A = 3 xx 4000` `= 12000` `:. A + B + C` `= (12000 + 4000 + 2000)` `= 18000.`
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Question: In an examination, A got `10%` marks less than B, B got `25%` marks more than C and C got `20%` less than D. If A got `360` marks out of `500,` the percentage of marks obtained by D was :
A
`70`

B
`75`

C
`80`

D
`85`

Note: `A = 90/(100) B, B` `= 125/(100) C and C` `= 80/(100) D` `:. B = 10/9 A,` `C = 4/5 B and D` `= 80/(100) C.` `B = 10/9 xx 360` `= 400, C = 4/5 xx 400` `= 320 & D` `= 5/4 xx 320` `= 400` Percentage of D `= (400/500 xx 100)%` `= 80%`
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Question: If the numerator of a fraction be increased by `15%` and its denominator be diminished by `8%` the value of the fraction is `15/16`. The original fraction is :
A
`3/5`

B
`3/4`

C
`3/7`

D
`2/3`

Note: Let the given fraction be `x/y` Then,`(115% of x)/(92% of y)` `= 15/16 => x/y` `= (15/16 xx 92/115)` `= 3/4`
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Question: In an examination, `35%` of total students failed in hindi, `45%` failed in English and `20%` in both. The percentage of those who passed in both the subjects is :
A
`10`

B
`20`

C
`30`

D
`40`

Note: `n (A) = 35,` `n (B) = 45,` `n (AnnB) = 20.` `n(AuuB) = n(A) + n(B) - n (AnnB)` `= (35 + 45 - 20)` `= 60.` :. Number failed in one or the other or both `= 60.` :. Number passed `= 40%.`
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Question: Raman's salary was decreased by `50%` and subsequently by `50%`. He has a loss of :
A
`0%`

B
`25%`

C
`0.25%`

D
`2.5%`

Note: Let original salary `= Rs. 100.` New final salary `= 150% of (50% of 100)` `= (150/100 xx 50/100 xx 100)` `= Rs. 75.` :. Decrease`= 25%.`
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Question: The income of a broker remains unchanged though the rate of commission is increased from `4%` to `5%`. The percentage of slump is business is :

Question: In an examination, there are `3` papers of Mathematics of `100` marks each. A boy secures `60%` in the first paper and `70%` in the second paper. In order to secure `705` in the aggregate the percentage of marks he should secure in third paper will be :

Question: A candidate scoring `25%` marks in an examination fails by `30` marks while another candidate who scores `50%` marks gets `20` marks more than those required to pass. The pass percentage is :

Question: Two numbers are less than a third number by` 30%`and `37%` respectively. How much percent is the second number less than the first ?

Question: A bag contains `600` coins of `25 p` denomination and `1200` coins of `50p` denomination. If `12%` of `25%` coins and `24%` of 50p coins are removed, the percentage of money removed from the bag is nearly :

Question: `5%` of income of A is equal to `15%` of income of B and `10%` of income of B is equal to `20%` of income c. If income of c is Rs.` 2000, then total income of A, B & C is :

Question: In an examination, A got `10%` marks less than B, B got `25%` marks more than C and C got `20%` less than D. If A got `360` marks out of `500,` the percentage of marks obtained by D was :

Question: If the numerator of a fraction be increased by `15%` and its denominator be diminished by `8%` the value of the fraction is `15/16`. The original fraction is :

Question: In an examination, `35%` of total students failed in hindi, `45%` failed in English and `20%` in both. The percentage of those who passed in both the subjects is :

Question: Raman's salary was decreased by `50%` and subsequently by `50%`. He has a loss of :