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Question Number 8781 by tawakalitu last updated on 27/Oct/16

Father reduced the quantity of food bought for  the family by ((25)/2)% . When he found that the  cost of living has increased by 15%. What  is the fraction increase in the family′s food  bill now ?

$$\mathrm{Father}\:\mathrm{reduced}\:\mathrm{the}\:\mathrm{quantity}\:\mathrm{of}\:\mathrm{food}\:\mathrm{bought}\:\mathrm{for} \\ $$$$\mathrm{the}\:\mathrm{family}\:\mathrm{by}\:\frac{\mathrm{25}}{\mathrm{2}}\%\:.\:\mathrm{When}\:\mathrm{he}\:\mathrm{found}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{cost}\:\mathrm{of}\:\mathrm{living}\:\mathrm{has}\:\mathrm{increased}\:\mathrm{by}\:\mathrm{15\%}.\:\mathrm{What} \\ $$$$\mathrm{is}\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{increase}\:\mathrm{in}\:\mathrm{the}\:\mathrm{family}'\mathrm{s}\:\mathrm{food} \\ $$$$\mathrm{bill}\:\mathrm{now}\:? \\ $$

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