a) Rs 4500

b) Rs 5000

c) Rs 5050

d) Rs 5500

correct answer is: b) Rs 5000

Explanation

Here, Sum of money means ‘Principal’ .
According to the question,
Amount = Rs 5300
Rate = 8 %
Time = 9 months or \frac{9}{12} years or \frac{3}{4} years.
We know,
Amount = (Principal + S.I.)
Or, Amount =\left(Principle+\frac{p\times t\times r}{100}\right)
\rightarrow5300=\left(p+\frac{p\times3\times8}{4\times100}\right)
\rightarrow\ 5300=\left(p+\frac{24p}{400}\right)
\rightarrow5300=\left(\frac{400p\ +\ 24p}{400}\right)
\rightarrow424p=5300\times400
\rightarrow p=\left(\frac{5300\times400}{424}\right)
\rightarrow p=5000
\therefore Principal = Rs 5000 .
Ans: The sum of money that will accumulate to Rs 5300 at 8% simple interest in 9 months is approximately Rs 5000.

Another way to ask this same question is:
1. Calculate the principal sum of money that will accumulate to Rs 5300 at a simple interest rate of 8% over a period of 9 months.
2. Find out the initial amount of money that will yield Rs 5300 at 8% simple interest over a 9 month period.
3. Determine the principal sum needed to achieve Rs 5300 at a simple interest rate of 8% within 9 months.
4. What is the principal amount required to accumulate to Rs 5300 with a simple interest rate of 8% in 9 months?
5. Calculate the sum of money that will grow to Rs 5300 with an 8% simple interest rate over 9 months.