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16 May 2019, 04:27
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A
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Difficulty:
45%
(medium)
Question Stats:
70% (02:32) correct
30%
(02:36)
wrong
based on 387
sessions
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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
A. 8.33
B. 8.5
C. 8.35
D. 8.75
E. None of the above
Someone give me a proper explanation. Expenditure and price and consumption. I am confused.
Archit3110
16 May 2019, 07:48
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Wasif007
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
16 May 2019, 04:42
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Wasif007
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)
