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Monthly salary of Jitvik in the month of December 2020 was Rs. 24,800. Every year his salary increases by 5% from the month of January. What was his s
Question

Monthly salary of Jitvik in the month of December 2020 was Rs. 24,800. Every year his salary increases by 5% from the month of January. What was his salary (in Rs. ) in the month of February 2022?

A.

27342

B.

26485

C.

27486

D.

27180

Correct option is A

Given:
Monthly salary of Jitvik in December 2020 = Rs 24,800
Salary increment every year =5%
Formula Used:
Successive increment of x% and y% are given then
Effective increase = x+y+xy100x + y +\frac{ xy}{100}​​
Solution:
Till February 2022 increment has been given two times. (JAN 2021 and Jan 2022)
Taking 5% and 5% percent
= 5+5 + (5×5)100\frac{(5\times5)}{100}​​
= 10.25%
24800×10.25100=254224800 \times\frac{ 10.25}{100 }= 2542​​
24800+ 2542 = 27342
Alternate Method:
For Successive Increment
New Salary = Old Salary x ((100+R1))/100 x ((100+R2))/100 x ((100+R3))/100 x …… ((100+Rn))/100
=  24800×105100×105100=Rs.2734224800 \times \frac{105}{100} \times \frac{105}{100} = Rs. 27342​​

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