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’