Abhijit Guha Solutions for Chapter: Ratio and Proportion, Exercise 2: Practice Problems Level 2

The largest and the second largest angle of a triangle are in the ratio of $5:3$. The smallest angle is $25$ per cent of the sum of the largest and the second largest angle. What is the sum of the smallest and the second largest angles?

Mohan spends $60$ per cent of his monthly income on rent, EMI and miscellaneous expenses in the ratio of $2:3:3$. If he spends a total of $₹ 16,050$ on the rent and EMI together, how much is his monthly salary?

$\mathrm{X}$ is greater than $\mathrm{Y}$ by $12$ and the respective ratio between $\mathrm{X}$ and $\mathrm{Y}$ is $3:2$. What is the sum ofa third number $\mathrm{Z}$and $\mathrm{X}$, if $\mathrm{Z}:\mathrm{Y}$ = $5:15$?

A person divided $₹ 44,352$ among his four sons $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$.$\mathrm{A}$ got $\frac{3}{8}$ of the money, $\mathrm{B}$ got $\frac{1}{6}$ of the remaining amount and rest was divided between $\mathrm{C}$ and $\mathrm{D}$ in the ratio of $3:4$. How much did $\mathrm{C}$ get?

A gave $25$ per cent of an amount to $\mathrm{B}$. $\mathrm{B}$ spent $30$ per cent of his amount in dinner. Out of the remaining amount, the respective ratio between the amount $\mathrm{B}$ kept as savings and the amount spent in buying books is $5:2$. If B bought the book for $₹ 460$, how much money did A initially had?

The income of $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are in the ratio of $3:7:4$ and their expenses are in the ratio of $4:3:5$. If $\mathrm{A}$ saves $₹ 300$ out of total income of $₹ 2,400$, the savings of $\mathrm{B}$ and $\mathrm{C}$ are

The monthly salary of Sunil is $\frac{1}{4}$ of his father's monthly salary. Sunil sister's monthly salary is $\frac{2}{5}$ of her father's monthly salary. Sunil's sister pays $₹ 12,800$ as study loan which is $\frac{1}{4}$ of her monthly salary. The savings and expenses made out of the monthly salary by Sunil are in the ratio $3:5$. How much does Sunil save each month?

In an examination, the number of students who passed and the number of those who failed were in the ratio of $25:4$. If five more students had appeared and the number of failed students was $2$ less than earlier, the ratio of passed to failed students would have been $22:3$. Find the number of students who appeared in the examination.