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# There has been a successive increase of 25% and 20%

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Manager
Joined: 07 Mar 2016
Posts: 62
There has been a successive increase of 25% and 20%  [#permalink]

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02 May 2016, 06:14
3
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Difficulty:

55% (hard)

Question Stats:

50% (01:40) correct 50% (01:31) wrong based on 44 sessions

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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 %age 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%

I reached upto 150$increased price, but cudnt understand after that. Marshall & McDonough Moderator Joined: 13 Apr 2015 Posts: 1686 Location: India Re: There has been a successive increase of 25% and 20% [#permalink] ### Show Tags 02 May 2016, 06:36 Earlier price of petrol = x Current price of petrol = (5/4) * (6/5) * x = 1.5x Let earlier Consumption = 100 gallons Earlier: x dollars --> 100 gallons Now: 1.5x dollars --> 100 gallons --> x dollars --> 100*2/3 = 66.66 gallons Therefore the person should reduce his consumption by 100 - 66.66 = 33.33 gallons if his expenditure has to remain same. Answer: A Math Expert Joined: 02 Aug 2009 Posts: 7954 Re: There has been a successive increase of 25% and 20% [#permalink] ### Show Tags 02 May 2016, 06:39 1 ashutoshsh wrote: There has been a successive increase of 25% and 20% in the price of petrol from the previous month. By how much %age a man should reduce his consumption so that his expenditure does not change? a.) 33.33% b.) 50% c.) 66.66% d.) 15% e.) 75% I reached upto 150$ increased price, but cudnt understand after that.

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
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Joined: 29 Oct 2012
Posts: 21
Re: There has been a successive increase of 25% and 20%  [#permalink]

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28 Mar 2019, 09:50
Let the original cost be 100 per litre
new cost per litre = (120/100)*125 = 150
if man spends 150 on 1 litre
he can spend 100 on (1/150)*100*100=66.67%
reductio % = 100-66.67=33.33% i.e A
Re: There has been a successive increase of 25% and 20%   [#permalink] 28 Mar 2019, 09:50
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