Question

The price of sugar goes up by $30$. By what percent should a house wife reduce her consumption so that the expenditure does not increase?

Answer 1

Let the original price of the sugar be $Rs.100$.

The price of the sugar is increased by $30\%$.

Increased price of the sugar $=100+\frac{30}{100}\times 100=100+30=Rs130$.

Increase in price = 130 - 100 = Rs 30$

Sugar of cost $Rs.30$ is to decreased out of the increased cost of $Rs130$.

Percentage decrease $=\frac{30}{130}\times 100=\frac{300}{13}\approx 23\%$.

Hence, the consumption of $23\%$ of sugar should be decreased so that the expenditure on sugar remains the same.