Percentage, General Mathematics

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: A reduction of `12.5%` in the price of a dining table brought down its price to Rs.`4375`. The total original price (in Rs.) of the table was :
A
`6000`

B
`5400`

C
`5200`

D
`5000`

Note: `87.5% of x` `= 4375 ⇒ 87.5/(100) x` `= 4375.` `:. x = ((4375 xx 100)/(87.5))` `= 5000.`
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Question: Of the total amount received by kiran, `205` was spent on purchases and `5%` of the remaining on transportation. If he is left with Rs. `1520`, the initial amount was :
A
`Rs. 2800`

B
`Rs. 2000`

C
`Rs. 2400`

D
`Rs. 1600`

Note: Purchases `= 20% of x = x/5.`Balance `= x - x/5` `= (4x)/5` Transportation `= 5% of (4x)/5` `= 5/100 xx (4x)/5` `= x/25.` Balance`= (4x)5 - x/25` `= (19x)/25.` `:. (19x)/25 ` `= 1520 ⇒ x` `= (1520 xx 25)/19` `= 2000.`
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Question: In a library, `20%` books are in Hindi,` 50%` of the remaining are in English and the remaining `9000` are in various other languages. What is the total number of books in English ?
A
`4000`

B
`3000`

C
`2250`

D
None of these

Note: Hindi Books `= 20% of x = 20/(100) x = x/5` Remaining `= (x - x/5)` `= (4x)/5` English Books `= 50% of (4x)/5` `= 50/100 xx (4x)/5` `= (2x)/5` Remaining `= ((4x)/5 - (2x)/(5))` `= (2x)/5` `:. (2x)/5 = 9000 or x` `= (9000 xx 5)/2` `= 22500`
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Question: A vinash spends `30%` of his income on scooter petrol,`1/4` of the remaining on house rent and the balance on food. If he spends Rs.` 300` on petrol, then what is the expenditure on house rent ?
A
`Rs. 525`

B
`Rs. 1000`

C
`Rs. 675`

D
`Rs. 175`

Note: Spent on scooter petrol `= 30/(100) x` `= (3x)/10` Remaining `= (x - 3x/10)` `= (7x)/10` House Rent `= 1/4 xx (7x)/10` `= (7x)/40` Now, `(3x)/10 = 300 ⇒ x` `= (300 xx 10)/3` `= 1000` House Rent `= (7 xx 1000)/40` `= 175.`
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Question: A man spends `35%` of his income rent,` 755` of the remaining on other items. What percentage of income does he save ?
A
`16.25`

B
`34.50`

C
`48.75`

D
None

Note: House rent `35/(100) x` `= (7x)/20` Remaining `= (x - (7x)/(20))` `= (13x)/20` Other expenditures `= ((75)/(100) xx (13x)/(20))` `= (39x)/(80)` Saving percent `= ((13x)/(80) xx 1/x xx 100)` `= 65/4%`` `= 16.25%`
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Question: The price of jute has been reduced by `20%`. If the reduced price is Rs.` 800` per quintal, the original price per quintal was
A
`Rs. 900`

B
`Rs. 640`

C
`Rs. 960`

D
`Rs. 1000`

Note: `80% of x` `= 800 ⇒ 80/(100) x` `= 800 ⇒ x` `= 800 xx 100/80` `= 1000`
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Question: Swati spends `40%` of her salary on food, `25%` on house rent `15%` on entertainment and `5%` on conveyance. If her saving at the end of a months is Rs. `1200,` then her salary per month (in Rs.) is :
A
`4000`

B
`6000`

C
`8000`

D
`10000`

Note: Saving `= [100 - (40 + 25 + 15 + 5)]%` `= 15%` `:. 15% of x` `= 1200 ⇒ 15/(100) x` `= 1200 ⇒ x` `= (1200 xx 100/15)` `= 8000`
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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 :

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` ?

Question: A reduction of `12.5%` in the price of a dining table brought down its price to Rs.`4375`. The total original price (in Rs.) of the table was :

Question: Of the total amount received by kiran, `205` was spent on purchases and `5%` of the remaining on transportation. If he is left with Rs. `1520`, the initial amount was :

Question: In a library, `20%` books are in Hindi,` 50%` of the remaining are in English and the remaining `9000` are in various other languages. What is the total number of books in English ?

Question: A vinash spends `30%` of his income on scooter petrol,`1/4` of the remaining on house rent and the balance on food. If he spends Rs.` 300` on petrol, then what is the expenditure on house rent ?

Question: A man spends `35%` of his income rent,` 755` of the remaining on other items. What percentage of income does he save ?

Question: The price of jute has been reduced by `20%`. If the reduced price is Rs.` 800` per quintal, the original price per quintal was

Question: Swati spends `40%` of her salary on food, `25%` on house rent `15%` on entertainment and `5%` on conveyance. If her saving at the end of a months is Rs. `1200,` then her salary per month (in Rs.) is :