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The price of sugar increases by 32%. A family reduces its consumption

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Wasif007
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The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   16 May 2019, 04:27
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The price of sugar increases 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 the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is:

A. 8.33
B. 8.5
C. 8.35
D. 8.75
E. None of the above

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Someone give me a proper explanation. Expenditure and price and consumption. I am confused.
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A
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Archit3110
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   16 May 2019, 07:48
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Wasif007 wrote:
The price of sugar increases 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 the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is:
a.8.33
b.8.5
c.8.35
d.8.75
E.none

Someone give me a proper explanation. Expenditure and price and consumption. I am confused.

Posted from my mobile device


let initial price = 100$
so earlier expense was ; 100*10 ; 1000 $ per month
price increase 32% ; 132$ is new price
family can afford to buy at max by streching existing busdget by 10% ; 1000 * 1.1 ; 1100$
so at max they can afford to buy ; 1100/132 ; 8.33 kgs of sugar
IMO A :cool:
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KarishmaB
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   16 May 2019, 04:42
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Wasif007 wrote:
The price of sugar increases 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 the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is:
a.8.33
b.8.5
c.8.35
d.8.75
E.none

Someone give me a proper explanation. Expenditure and price and consumption. I am confused.

Posted from my mobile device


Total Expenditure = Price * Amount consumed

Price goes up by 32% but total expenditure only by 10%. This means consumption goes down by some percentage.

Total Expenditure * (11/10) = Price * (132/100) * Amount consumed * x

For LHS to be same s RHS, we need
(132/100) * x = 11/10
x = 5/6

Since consumption becomes 5/6 of previous consumption, it reduces by 1/6.
(1/6) * 10 = 5/3

New consumption = 10 - 5/3 = 25/3 = 8.333 kg

Answer (A)
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   16 May 2019, 05:08
The logic / formula here is very important. No need to by heart the formula.

We can deduce that expenditure = Price * Consumption

E=PC

Case 1 - before price increase , consumption was 10 KG

E=P*10

Case 2 - Expenditure is increased by 10% when price of sugar increases by 30%

1.1E=P*C(required)

Equate case 1 and case 2

C(required) = 11/1.32

=8.33 Kg

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Woody19
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   16 May 2019, 11:20
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Let the price of sugar be 100 / kg.

let x be the new quantity post increase.

Quantity | Price per kg | total
_______________________________
10 kg | 100 | 1000
x kg | 132 (32% increase) | 1100 ( family can afford only 10% increase in total price).

so x * 132 = 1100

x = 1100 / 132 => 275 / 33 ( divide by 11 ) => 25 / 3 => 8.33 Kg.

Hope it helps.

- Woody.
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NarayanaGupta007
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   07 Sep 2021, 20:10
let say price 100/-per Kg of sugar total expense 1000..after price increases new price 132/- and total expenditure increases by 10% means 1100....simply divide 1100 by 132 and got 8.33 .......above sol are too lenghy...
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   20 Jun 2022, 01:59
Lets, pervious price is 100

#New price with 32% increase is 132.

& 10% increase is 110

New 132.... Before 100
||| 1..............100/132
||| 110............(100/132)*110

=250/3


If 100..... Gets 10kg
||| 1............10/100
||(250/3)........(10/100)*250/3

=8.33

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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink] New post   09 Oct 2023, 11:35
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Re: The price of sugar increases by 32%. A family reduces its consumption [#permalink]
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