The price of a commodity is increased by 15%. By what percent should its consumption be decreased so as to not increase the expenditure?

Options
- 90%
- 300/23%
- 100/3%
- 100/11%

CORRECT ANSWER : 300/23%

Discussion Board
answer breakup

let x be the price, y be the commodity(consumption)
xy = expenditure
when x = 1.15x let Y be the commodity, then
1.15xY = expenditure
since expenditure on both cases must be same,
xy = 1.15xY
Y = y/1.15
now,
answer = (y -Y)%
= (y - y/1.15)100
= y(300/23)
thus, Option ''B''

Vinay 02-8-2021 01:50 PM

Solution

Let a man buy y commodities for x Rs.
Total expenditure= Rs. xy
Increased price of commodity=115x/100
= 1.15x Rs.
So, in order to keep expenditure constant, man has to buy
xy/1.15x=y/1.15 commodities.
Decrease in purchase=
y-y/1.15= 0.15y/1.15 commodities
% decrease= 0.15y*100/1.15y
= 15/1.15 % = 300/23 %(approx.)

susmitha shankar 07-10-2019 02:46 AM

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