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When the price of sugar was increased by 30%, a family reduced its con

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Bunuel
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When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   09 Jan 2021, 10:03
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When the price of sugar was increased by 30%, a family reduced its consumption in such a way that the expenditure on sugar was only 30% more than before. If 25 kg were consumed per month before, what is the new monthly consumption?

(A) 20 Kg
(B) 25 Kg
(C) 30 Kg
(D) 35 Kg
(E) 40 Kg
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B
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flash007
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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   09 Jan 2021, 10:24
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Let price be 100/kg

Expenditure= (Price per kg sugar)*(consumption)
= 100*25 = 2500

Now the price has increased by 30% =1.3*100 =130

Expenditure has also increased by 30% = 2500*1.3 = 3250

So, new consumption = 3250/130 = 25kg

IMO B

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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   09 Jan 2021, 10:47
Dunno if this is a trick or not but if prices increased by 30% and quantity is the same, expense also goes up by 30%.

Now if the expenditure is also to increase by 30%, I mean the quantity will remain the same?

Should be B

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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   09 Jan 2021, 15:27
I picked values to work with

price | quantity
was | 10 | 25
now | 13 | x

13*x = 250 * 1.3

x=25
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Deba20
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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   10 Jan 2021, 21:50
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Let price per kg is x
25kg was monthly consumption

so,Total expenditure = 25x

Now price becomes (30% up) = 1.3x
Let new Consumption be Ykgs
Total expenditure = Y * 1.3x

As per qn, new expenditure is 30% more than ever before

so Y * 1.3x = 25x * 1.3
=> Y = 25kg
Y is new consumption.
Hence Answer B.
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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink] New post   12 Jan 2021, 08:19
ravigupta2912 wrote:
Dunno if this is a trick or not but if prices increased by 30% and quantity is the same, expense also goes up by 30%.

Now if the expenditure is also to increase by 30%, I mean the quantity will remain the same?

Should be B

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I thought the same thing without doing any calculation!
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Re: When the price of sugar was increased by 30%, a family reduced its con [#permalink]
12 Jan 2021, 08:19
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