Answer:

GOOD EVENING

Let's calculate the simple interest without expressing the rate as a fraction:

Principal (P) = Rs. 2500

Rate (R) = 4% per annum

Time (T) = 5/2 years

Now, calculate the simple interest using the formula:

Simple Interest (SI) = (Principal × Rate × Time) / 100

SI = (2500 × 4 × (5/2)) / 100

First, calculate the multiplication within the parentheses:

SI = (2500 × 4 × 5/2) / 100

Now, simplify the expression:

SI = (2500 × 10) / 100

SI = 25000 / 100

SI = Rs. 250

So, the simple interest is Rs. 250 when the rate is 4% per annum and the time is 5/2 years

Verified answer

Answer:-

Given:

• Principal (P) = Rs.2500
• Rate of Interest (R) = 4% per annum
• Time (T) = 5/2 years

To find :

• Simple Interest (SI) = ?

Using formula :

To calculate the Simple Interset , by using formula

[tex]\boxed{ \rm \leadsto \: S.I. = \frac{ P \times R \times T }{100}} \\[/tex]

• Where , P - Principal
• R - Rate of interest
• T - Time period

Solution:

Now, substitute the given values in S.I. formula -

[tex]\rm \leadsto \: S.I. = \frac{ P \times R \times T }{100} \\ \\[/tex]

[tex]\rm \leadsto \: S.I. = \frac{ 2500 \times 4 \times 5/2 }{100} \\ \\[/tex]

[tex]\rm \leadsto \: S.I. = \frac{ 2500 \times{ \cancel 4} \times \: 5/{ \cancel2} }{100} \\ \\[/tex]

[tex]\rm \leadsto \: S.I. = \frac{ 2500 \times 2 \times 5 }{100} \\ \\[/tex]

[tex]\rm \leadsto \: S.I. = \frac{ 25{ \cancel0{ \cancel0}} \times 10 }{ 1{ \cancel0{ \cancel0}}} = 250 \\ \\[/tex]

[tex]\bf \leadsto \: S.I. = Rs.250[/tex]

Hence the Simple Interest is Rs. 250 when the rate of interest is 4%per annum and time is 5/2 year.

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More formulas:-

1- Simple Interset formula

[tex]\boxed{ \rm \leadsto \: S.I. = \frac{ P \times R \times T }{100}} \\[/tex]

2- Principal formula

[tex]\boxed{ \rm \leadsto \: P = \frac{ 100 × S.I. }{R × T}} \\[/tex]

3- Rate of Interest formula

[tex]\boxed{ \rm \leadsto \: R = \frac{ 100 × S.I. }{P × T}} \\[/tex]

4- Time period formula

[tex]\boxed{ \rm \leadsto \: T = \frac{ S.I. \times 100 }{P × R}} \\[/tex]

where ,

• S.I. - Simple Interest
• P - Principal
• R - Rate of Interest
• T - Time period

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