# Discussion of Question with ID = 022 under Percentages

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### Question

Price of sugar is increased by 20%. By what percentage should consumption be reduced so that the expenditure remains same?

A

\$16{2/3}\$ %.

B

\$26{1/2}\$ %.

C

\$15{2/3}\$ %.

D

\$11{4/5}\$ %.

Soln.
Ans: a

Let price be Rs. 100/kg and the consumption be 1 kg. The current expenditure is 100 × 1 = Rs. 100. The new price of sugar is 100 + 20 = Rs. 120/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 120 × c, which gives c = 100/120, so the decrease is 1 - \$100/120\$ = \${120 - 100}/120\$ × 100% = \${50/3}\$, which is same as: \$16{2/3}\$%.