Question

A man gets an employment of rs 150 per month with an annual increment of rs 20 .What does he earn in 15 years ?​

Answer 1

Answer:

27,300

Step-by-step explanation:

150/- per month

annual income=150x12=1800

for 15years=1800x15

=27,000/-

salary increment for year =20/-

for 15 years=15x20=300

total salary= 27,000+300=

27,300.

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Answer 2

Given:

Monthly income=Rs.150

Annual increment=Rs.20

To find:

Total income earned in 15 years

Solution:

The total income earned in 15 years is Rs.29,100.

We can find the income by following the given steps-

We know that the income increases each year by Rs.20 and forms an arithmetic progression.

The monthly income of the man=Rs.150

So, the annual income will be=150×12

=Rs.1,800

The income next year increases by Rs.20 and becomes= 1800+20

=Rs.1,820

Similarly, it keeps on increasing and forms an A.P.

The A.P is 1,800, 1,820, 1,840, and so on.

Now, we know that the number of years, n, is 15.

We will calculate the sum by using the formula-

Sum of terms, S=n/2×(2a+(n-1)d)

Here a is the first term of the A.P and d is the annual increment or common difference.

On putting the values,

Sum of terms, S=15/2×(2×1,800+(15-1)×20)

=15/2×(3,600+14×20)

=15/2×(3,600+280)

=15/2×3,880

=15×1,940

=Rs. 29,100

Therefore, the total income earned in 15 years is Rs.29,100.