# The Price of Sugar is Increased by 20%. by What Percent Must the Consumption of Sugar Be Decreased So that the Expenditure on Sugar May Remain the Same? - Mathematics

Sum

The price of sugar is increased by 20%. By what percent must the consumption of sugar be decreased so that the expenditure on sugar may remain the same?

#### Solution

Let price of x kg of sugar = Rs. 100

Increase in price = 20%

∴ New price = 100 + 20 = Rs.120

∴ For Rs. 120, sugar obtained = x kg.

For Rs. 100, sugar obtained

= x/(120) xx 100

= (5x)/(6)"kg"

Original consumption = x kg

New consumption = (5x)/(6)"kg"

Decrease in consumption

= x - (5x)/(6)

= (x)/(6)

Required % decrease in consumption

= (x/6)/x xx 100

= (x)/(6x)xx 100

= (100)/(6)

= (50)/(3) = 16(2)/(3)%

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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (C) | Q 13 | Page 86