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What will be the simple interest on Rs. 6,400 at the rate 6% per annum from 11th February to 7th July 2022?
Question

What will be the simple interest on Rs. 6,400 at the rate 6% per annum from 11th February to 7th July 2022?

A.

Rs. 153.6

B.

Rs. 163.8

C.

Rs. 168.4

D.

Rs. 172.5

Correct option is A

Given:
Principal = Rs.6400
Rate of Interest = 6% per annum
Time from 11th February to 7th July 2022

Formula used:

Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}

Where,

P is principle

R is rate of interest

T is time

Solution:

let's determine the time period from 11th February to 7th July 2022.
From 11th February to 28th February: 17 days (2022 is not a leap year)
March: 31 days
April: 30 days
May: 31 days
June: 30 days
From 1st July to 7th July: 7 days

Total number of days: 17+31+30+31+30 + 7 = 146

T=146365T = \frac{146}{365} = 0.4 years

SI = 6400×6×0.4100\frac{6400 \times 6 \times 0.4}{100}

SI = 6400×241000\frac{6400 \times 24}{1000}

SI = 1536001000\frac{153600}{1000}

SI = 153.6

So, the simple interest on Rs. 6,400 at the rate of 6% per annum from 11th February to 7th July 2022 is Rs. 153.6.

Thus, the correct answer is (a).

​​

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