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02 May 2016, 06:14
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A
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Difficulty:
55%
(hard)
Question Stats:
63% (01:38) correct
37%
(01:29)
wrong
based on 324
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There has been a successive increase of 25% and 20% in the price of petrol from the previous month. By how much percentage a man should reduce his consumption so that his expenditure does not change?
A 33.33%
B. 50%
C. 66.66%
D. 15%
E. 75%
A 33.33%
B. 50%
C. 66.66%
D. 15%
E. 75%
I reached upto 150$ increased price, but cudnt understand after that.
02 May 2016, 06:36
Kudos
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Earlier price of petrol = x
Current price of petrol = (5/4) * (6/5) * x = 1.5x
Let earlier Consumption = 100 gallons
Earlier: x dollars --> 100 gallons
Now: 1.5x dollars --> 100 gallons --> x dollars --> 100*2/3 = 66.66 gallons
Therefore the person should reduce his consumption by 100 - 66.66 = 33.33 gallons if his expenditure has to remain same.
Answer: A
Current price of petrol = (5/4) * (6/5) * x = 1.5x
Let earlier Consumption = 100 gallons
Earlier: x dollars --> 100 gallons
Now: 1.5x dollars --> 100 gallons --> x dollars --> 100*2/3 = 66.66 gallons
Therefore the person should reduce his consumption by 100 - 66.66 = 33.33 gallons if his expenditure has to remain same.
Answer: A
02 May 2016, 06:39
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ashutoshsh
hi,
so we work ahead of 150$..
this means you took initial petrol price as 100..
so \(x_1*100 = 100*x_1\)..
After the increase it becomes \(x_2*150\)..
since consumption is same \(100*x_1=150*x_2\)..
0r \(\frac{100}{150}x_1 = x_2 = .66x_1\)..
this means the NEW consumption is 66.66% of previous..
so decrease = 100-66.66 = 33.33%
A
