Question 58

The price of sugar got raised by 25%. To maintain the same level of expenses on sugar, a person reduced the consumption of sugar by 4% andalso increased his expenditure on sugar by x% . The value of x is:

Solution

Let the person have Rs 100 for sugar and he bought 100 kg sugar in Rs 100.

Now increased price of 100 kg sugar = $$100\times\frac{125}{100}=125$$

Increased price of 1 kg of sugar = $$\frac{125}{100}=1.25$$

Now he have reduced his consumption by 4% so he will purchase = 96 kg of sugar

For 96 kg of sugar he will pay = $$96 \times1.25 = Rs 120$$

So, he have to increase his expenditure by 20%.

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