Embibe Experts Solutions for Chapter: Percentage, Exercise 1: Percentage Change

When the price of rice is increased by $25$ percent, a family reduces its consumption such that the expenditure is only $10$ percent more than before. If $40$ kg  of rice was consumed by family before, then find the new consumption of family.

In a school, the number of boys and girls are in the ratio $4:7$. If the number of boys are increased by $25\%$, and the number of girls are increased by $15\%$, what will be the new ratio of the number of boys to that of girls?

The population of a town is $198000$. It increases by $7\%$ in the first year and decreases by $5\%$ in the second year. What is the population of the town at the end of $2$ years?

If the numerator of a fraction is increased by $200\%$ and the denominator is increased by $160\%$, the resultant fraction is $\frac{7}{13}$. What is the original fraction?

After deducting $10\%$ from a certain sum, and then $20\%$ from the remainder, there is $\mathrm{Rs}.14400$ left. The original sum is:
 

Three-tenth of a number is equal to $36\%$ of another number. If the sum of these two numbers is $88$, then what is the value of the smaller number?

The population of a town two years ago was $45000$. It increased by $12\%$ in the first year and decreased by $15\%$ in the second year. What was the population of the town at the end of two years?

In a test, minimum passing percentage for reserved and unreserved category is $40\%$ and $54\%$ respectively. A candidate from unreserved category secured $300$ marks and failed by $24$ marks. What are the minimum passing marks of reserved category in that test?