Percentage, General Mathematics

Question: `A's` income is `25%` more than `B's` income. `B's` income in terms of `A's` income is :
A
`75%`

B
`80%`

C
`90%`

D
`96%`

Note: `A = (125%)` of `B => A = (125)/(100) B`. `B = (100)/(125)` `A = 4/5 A = (4/5 xx 100)%` of `A = 80%` of `A`.
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Question: Anil's height is `20%` less than Deepak's. How much is Deepak's height more than Anil's ?
A
`16 2/3%`

B
`18%`

C
`20%`

D
`25%`

Note: Excess of Deepak's height over Anil `= [(20)/((100 - 20)) xx 100]%` `= 25%`.
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Question: Water tax is increased by `20%` but its consumption is decreased by `20%`. Then, the increase of decrease in the expenditure of the money is :
A
No change

B
`5%` decrease

C
`4%` increase

D
`4%` decrease

Note: Let original consumption `= 100` units & Tax `= Rs. 100` per unit. Then original expenditure `= Rs. 100 xx 100` New expenditure `= 80 xx 120 = Rs. 9600`, Decrease in expenditure `= ((400)/(100 xx 100) xx 100)%` `= 4%`
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Question: On increasing the price of T.V. sets by `30%`, their sale decreases by `20%` What is the effect on the revenue receipts of the shop ?
A
`4%` increase

B
`4%` decrease

C
`8%` increase

D
`8%`decrease

Note: Let cost per T.V. `= Rs. 100` & original sale `= 100`T.V. Revenue Receipt `= Rs. (100 xx 100)`. New Receipt `= Rs. (130 xx 80) = Rs. 10400`. Increase in receipt `= ((400)/(100 xx 100) xx 100)%` `= 4%`
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Question: A man spends `75%` of his income. His income increases by `20%` and he increased his expenditure by `15%`. His savings are then increased by
A
`33%`

B
`33 1/3%`

C
`35%`

D
`40%`

Note: Let income be `Rs. 100`. Then, expenditure `= Rs. 75`, saving `= Rs. 25` New income `= Rs. 120` New expenditure `= Rs = ((115)/(100) xx 75)` `= Rs (345)/4` Now, saving`= Rs = (120 - (345)/4)` `= Rs (135)/4` Increase`%` in saving `= ((35)/(4 xx 25) xx 100)` `= 35%`.
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Question: The price of sugar increases by `20%`. By what percent must a house wife reduce the consumption of sugar, so that the expenditure on sugar is the same as before ?
A
`16 2/3`

B
`20`

C
`80`

D
`83 1/3`

Note: Reduction in Consumption `= [r/(100 + r) xx 100]%` `= ((20)/(120) xx 100)%` `=16 2/3%`.
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Question: The price of oil increased by `20%`. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is :
A
`1 : 3`

B
`1 : 4`

C
`1 : 5`

D
`1 : 6`

Note: Let original consumption be 1 unit costing Es. `100` New cost`= Rs. 125` New consumption `= (1/125 xx 100)` `= 4/5 unit` `(Reduction in consumption/Original consumption)` `= ((1 - 4/5))/1` `= 1/5 i. e, 1 : 5.
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Question: The price of sugar is increased by `20%`. As a result, a family decreases its consumption by `25%`. The expenditure of the family on sugar will be decreases by :
A
`10%`

B
`5%`

C
`14%`

D
`15%`

Note: Let original consumption`= 100 units & original price`= Rs. 100/unit. Original expenditure `= Rs. (100 xx 100)` `Rs. 10000.` New expenditure `= Rs. (120 xx 75)` `= Rs. 9000.` :. Decreases in expenditue `= ((1000/10000 xx 100)%` `= 10%`
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Question: If the price of sugar rises from Rs `6` per kg to Rs `7. 50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by :
A
`15%`

B
`20%`

C
`25%`

D
`30%`

Note: Let original consumption `= 100 kg &` new consumption `= x kg` `:. 100 xx 6 = x xx 7.50 => x = 80 kg.` :. Reduction in consumption`= 20%`
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Question: The price of sugar increase by `32%`. A family reduces its consumption so that the expenditure of the sugar is up by `10%` only. If the total consumption of sugar before rise was `10` kg per month, then the consumption of sugar per month at present (in kg) is :
A
`8 1/3`

B
`8 1/2`

C
`8 3/4`

D
`9`

Note: Let original rate `= Rs. x∕kg.` Consumption `= 10 kg.` Expenditure`= Rs. 10x.` New expenditure `= 110% of Rs. 10x = 11x.` New rate`= 132% of x = (33x)/25.` New consumption `= (Expenditure/Rate)` `= (11x xx 25/(33x)` `= (25)/(3) kg.` `= 8 1/3 kg.`
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Question: `A's` income is `25%` more than `B's` income. `B's` income in terms of `A's` income is :

Question: Anil's height is `20%` less than Deepak's. How much is Deepak's height more than Anil's ?

Question: Water tax is increased by `20%` but its consumption is decreased by `20%`. Then, the increase of decrease in the expenditure of the money is :

Question: On increasing the price of T.V. sets by `30%`, their sale decreases by `20%` What is the effect on the revenue receipts of the shop ?

Question: A man spends `75%` of his income. His income increases by `20%` and he increased his expenditure by `15%`. His savings are then increased by

Question: The price of sugar increases by `20%`. By what percent must a house wife reduce the consumption of sugar, so that the expenditure on sugar is the same as before ?

Question: The price of oil increased by `20%`. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is :

Question: The price of sugar is increased by `20%`. As a result, a family decreases its consumption by `25%`. The expenditure of the family on sugar will be decreases by :

Question: If the price of sugar rises from Rs `6` per kg to Rs `7. 50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by :

Question: The price of sugar increase by `32%`. A family reduces its consumption so that the expenditure of the sugar is up by `10%` only. If the total consumption of sugar before rise was `10` kg per month, then the consumption of sugar per month at present (in kg) is :