When the price of sugar was increased by 20 a family reduced its consumption in such a way that the expenditure on sugar is only increased by 15?

Text Solution

Solution : Let the original price of the sugar be Rs `100`.<br>The price of the sugar is increased by `20%`<br>Increased price of the sugar = `100 + (20% of 100) = 100 + 20 = Rs 120`.<br>Increase in price = `120 - 100 = Rs 20`<br>We can consume sugar for `100` rupees so we have to reduce the sugar consumption to 20 rupees<br>sugar of cost Rs `20`is to decreased out of the increased cost of Rs `120`.<br>Percentage decrease = `(20/120) * 100 = 100/6 = 16.67%`.<br>Hence, the consumption of `16.67%` of sugar is to be decreased so that the expenditure on sugar remains the same.

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