# Word Problem 14

Problem 14: If the price of sugar can be raised by 20%, the percentage of consumption that a house wife has to decrease in order not to increase her expenditure is;

a. 16-2/3%            b. 75%        c. 80%            d. 20%

— discrete math, business math —

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Solution:

We are given information as;

Increase in price of sugar = 20%

Reduction in consumption = ?

Expenditure = Same

Let initial price of sugar per kg is Rs 100 and consumption is also 100 kg. Then we arrange data as under;

 Status of Price of Sugar Price amount Consumption Expenditure Original New (after 20% increase) 100 120 100 kg ? 100×100= Rs 10000 Rs 10000 (same as old)

Her we use a formula for new consumption;

With original price the consumption is 100 kg – now to find the difference of consumption after keeping expenditure same (Rs 10000), we subtract new consumption from original consumption;

Now to find the reduction percentage we use’

Insert math as
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