Question

Ramesh earns Rs.$28000$ per month. His wife Rama earns Rs.$6000$ per month. Find the ratio of Ramesh’s earnings to their total earnings.

Answer 1

Hint: Total earnings of two persons can be calculated by adding up their individual earnings per month. The ratio of Ramesh’s earnings to their total earnings is obtained by cancelling the common factors of the two numbers.

Formula used: The ratio of a quantity $x$ to a quantity $y$ is defined as $x:y$. We can cancel common factors there from both sides and are usually represented in the simplest form.

Complete step-by-step answer:
Given that Ramesh earns Rs. $28000$ per month and Rama earns Rs. $6000$ per month.
Let the earnings of Ramesh be ${R_1}$ and Rama be ${R_2}$.
Therefore, total earnings, $T = {R_1} + {R_2} = 28000 + 6000 = 34000$
Ratio of Ramesh’s earnings to total earnings is ${R_1}:T = 28000:34000$
We can cancel $2000$ from both sides.
$ \Rightarrow {R_1}:T = 14:17$
Therefore, the ratio of Ramesh’s earnings to total earnings is $14:17$.
Also, we can find ratio of Ramesh’s earnings to Rama’s earnings
${R_1}:{R_2} = 28000:6000 = 14:3$
Ratio of Rama’s earnings to total earnings ${R_2}:T = 6000:34000 = 3:17$

Additional Information: The concept of ratio and proportion is widely used in everyday life. A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.

Note: The ratio of a quantity $x$ to a quantity $y$ is $x:y$. At the same time ratio of a quantity $y$ to a quantity $x$ is $y:x$. Therefore, we must be careful about this when taking ratios. $x:y$ is also written as $\dfrac{x}{y}$. We can take ratios only when both quantities are in the same measure. In this question, if one of the earnings was given annually then we have to convert it first to monthly, then follow the same procedure.