Question

In year 2015, Mrs. Shaikh got a job with salary Rs.1,80,000 per year. Her employer agreed to give Rs. 10,000 per year as increment. Then in how many years will her annual salary be Rs.2,50,000?

Answer 1

Answer:

here is ur answer

just try to understand. it was not that hard. pretty easy it was

Answer 2

Given:

In the year 2015, Mrs Shaikh got a job with a salary of Rs.1,80,000 per year. Her employer agreed to give Rs. 10,000 per year as an increment.

To find:

In how many years will her annual salary be Rs.2,50,000?

Solution:

The number of years it would take for Mrs Sheikh's annual salary to become Rs.2,50,000 is 8.

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

As given, we have,

In 2015, the initial salary of Mrs Sheikh = Rs.1,80,000

Now,

The employer agreed to give Rs. 10,000 per year as an increment.

This means,

The salary of Mrs Sheikh in the second year i.e. in 2016 will be = Rs.1,90,000

Similarly,

The salary of Mrs Sheikh in the third year i.e. in 2017 will be = Rs.2,00,000

As we can see, it forms an A.P.

Rs.1,80,000, Rs.1,90,000, Rs.2,00,000, .... Rs.2,50,000

So,

To find the number of years it would take for the annual salary of Mrs Sheikh to become Rs.2,50,000, we will use the following formula:

$tn = a + (n - 1)d$

where a, d and tn are the first term, common difference and nth term respectively.

Now,

In the formed A.P.

a = 1,80,000

d = 10,000

tn = 2,50,000

n = number of years it would take for the initial salary to become 2,50,000 with a fixed increment of 10,000 per year

So,

$2,50,000 = 1,80,000 + (n - 1)10000$

$250000 = 180000 + 10000n - 10000$

$250000 = 170000 + 10000n$

$80000 = 10000n$

$n = 8$

Hence, in eight years, the annual salary of Mrs Sheikh will become Rs.2,50,000.