The price of onions has been increased by 50 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the initial price of onions be $P$ and initial consumption be $C$. Initial expenditure $= P 	imes C$. New price $= P + 0.50P = 1.50P$. Let th

Vedclass · Accepted Answer

$33 \frac{1}{3} \%$

Vedclass · Answer

(B) Let the initial price of onions be $P$ and initial consumption be $C$. Initial expenditure $= P 	imes C$. New price $= P + 0.50P = 1.50P$. Let the new consumption be $C'$. Since the expenditure remains the same: $1.50P 	imes C' = P 	imes C$. $C' = \frac{P 	imes C}{1.50P} = \frac{C}{1.5} = \frac{2}{3}C$. Reduction in consumption $= C - \frac{2}{3}C = \frac{1}{3}C$. Percentage reduction $= (\frac{1/3C}{C}) 	imes 100 = 33 \frac{1}{3} \%$. Alternatively,using the formula: $	ext{Required reduction } \% = \frac{x}{100+x} 	imes 100 = \frac{50}{100+50} 	imes 100 = \frac{50}{150} 	imes 100 = 33 \frac{1}{3} \%$.

The price of onions has been increased by $50 \%$. In order to keep the expenditure on onions the same,the percentage of reduction in consumption has to be:

Similar Questions

The income of a company increases $20 \%$ per annum. If its income is $Rs$ $42664000$ in the year $1999$,what was its income in the year $1997$?

$3.5$ can be expressed in terms of percentage as

What percentage of numbers from $1$ to $70$ have squares that end in the digit $1$?

The difference of two numbers is $20 \%$ of the larger number. If the smaller number is $20$,then the larger number is:

Two numbers are $30 \%$ and $40 \%$ more than the third number respectively. The first number is $x \%$ of the second. Then $x = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module