R K Bansal Solutions for Chapter: Linear Equations in One Variable (With Problems Based on Linear Equations), Exercise 3: EXERCISE 14(C)

Aman sold an article for $₹396$ and gained $10\%$ on it. Find the cost price of the article.

The sum of two numbers is $4500$. If $10\%$ of the number is $12.5\%$ of the other, find the numbers.

The sum of two numbers is $405$ and their ratio is $8:7$. Find the numbers$.$

The ages of $\mathrm{A}$ and $\mathrm{B}$ are in the ratio $7\mathbf{:}5$. Ten years hence, the ratio of their ages will be $9\mathbf{:}7$. Find their present ages.

Find the number whose double is $45$ greater than its half.

The difference between the squares of two consecutive numbers is $31$. Find the numbers.

Find a number such that when $5$ is subtracted from $5$ times the number, the result is $4$ more than twice the number.

The numerator of a fraction is $5$ less than its denominator. If $3$ is added to the numerator and denominator both, the fraction becomes$\frac{4}{5}$. Find the original fraction.