Question

Raja receives an increment in his salary. His salary presently form 30% of the total income of his family. Before the increment his salary used to form 20% of the total income of his family. By how many percentage points did the salary of raja as a percentage of his family's total income increase

Answer 1

Answer:

50%

Step-by-step explanation:

This is because his initial income percentage was 20%

Now it has become 30%

Therefore, net increase = 10%

Therefore, % increase = (10 / 20)*100%

= 50%

Answer 2

Given,

Raja receives an increment in his salary. His salary presently forms 30% of the total income of his family. Before the increment, his salary used to form 20% of the total income of his family.

To find,

The percentage points by which the salary of raja as a percentage of his family's total income increased.

Solution,

The percentage points by which the salary of raja as a percentage of his family's total income increased is 10℅.

To answer this question, we will follow the following steps:

Let the total income of Raja's family be x units.

So,

According to the question,

The initial salary of Raja

$= \frac{20}{100} \times x = \frac{20x}{100}$

Also given,

Present salary of Raja

$= \frac{30x}{100}$

So,

The increase in salary of Raja

$= present \: salary - initial \: salary$

$= \frac{30x}{100} - \frac{20x}{100}$

$= \frac{10x}{100}$

Now,

The increase in the percentage points of Raja's salary as a percentage of his family's total income

$= \frac{increase \: in \:Raja's \: salary \: }{family \: income} \times 100$

$= \frac{ \frac{10x}{100} }{x} \times 100$

$= 10\%$

Henceforth, the increase in the percentage points of Raja's salary as a percentage of his family's total income is 10%.