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దిలీప్ కుమార్

· started a discussion

· 1 Months ago

Let initial price of sugar be
Rs.
100
Rs.100 per kg
Let total consumption be
100
100 Kg
Total expenditure
=
100
×
100
=
Rs.
10
,
000
=100×100=Rs.10,000

New price
=
Rs.
75
=Rs.75 per kg
Let new consumption be
x
x kg
New total expenditure
=
Rs.
75
x
=Rs.75x

Total expenditure on sugar increases by
20
%
20%
10
,
000
×
120
100
=
75
x
100
×
120
=
75
x
x
=
160
10,000×120100=75x100×120=75xx=160

His consumption increased from
100
100 kg to
160
160 kg.
i.e.,
60
%
60% increase in his monthly consumption.

Question:
The price of sugar is reduced by 25% but in spite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar ?
Options:
A) + 60%
B) - 10%
C) + 33.33%
D)

50%

E) None of these
Solution:
Ans: (a) 


We have assumed initial expenditure to be 100, in the above figure. Then the final expenditure is 120. The percentage change in consumption can be seen to be

\(\cfrac{45}{75}\times100=60\%\)

manoj s

· commented

· 1 Months ago

no need such a longer explanation
simply E(expenditure)=P(price)*C(consumpution)
6/5=3/4*C. you will get 8/5. (1/5)=20% so we get 60% increase

kanhaiya jha

· commented

· 1 Months ago

its goood..:)

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