Math, asked by taekookie97, 19 days ago

A sum of money at simple interest amounts to 600 in 4 years and 625 in 5 years. What is the sum invested?​

Answers

Answered by parepallirohithgandh
4

Answer:

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Answered by Rameshjangid
0

Answer: Sum invested is 500 Rs.

Given: 600 in 4 years and 625 in 5 years.

To Find: Sum invested.

Step-by-step explanation:

Step 1:

Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principle sum of money at a certain rate of interest.

It is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Let the sum is x.

After 4 years total amount generated = S.I. + Principle amount

S.I. = \frac{PRT}{100}

S.I. = \frac{4xR}{100}

So after 4 years total amount generated

=\frac{4xR}{100}  + x\\\\600 = \frac{4xR}{100}  + x\\\\60000=4xR+100x\\\\4xR+100x =60000\ ...eq(1)

Step 2: After 5 years total amount generated = S.I. + Principle amount

S.I. = \frac{PRT}{100}

S.I. = \frac{5xR}{100}

So after 5 years total amount generated

=\frac{5xR}{100}  + x\\\\625 = \frac{5xR}{100}  + x\\\\62500=5xR+100x\\\\5xR+100x =62500\ ...eq(2)

From equation (1) and (2), we get,

x = 500 Rs

Hence, sum invested is 500 Rs.

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