If the price of sugar increases by $25\%$, by what percent must a family reduce its consumption so that…
If the price of sugar increases by $25\%$, by what percent must a family reduce its consumption so that expenditure on sugar is unchanged?
- $25\%$
- $20\%$
- $15\%$
- $10\%$
Solution
Required reduction $\% = \dfrac{r}{100 + r} \times 100 = \dfrac{25}{125} \times 100 = 20\%$. Verification: $1.25 \times 0.80 = 1$.
Asked in: IMO
Practice more COMPARING QUANTITIES questions on Aicharya