a) ₹ 4650 and 12%

b) ₹ 4250 and 12%

c) ₹ 4050 and 10%

d) ₹ 3650 and 10%

correct answer is: d) ₹ 3650 and 10%

Explanation

Here, A sum of money means ‘Principal’.
In 3 years, amount is ₹4745 .
In 5 years, amount is ₹5475 .
So that, \left(5 - 3\right) = 2 years Simple interest is =₹\left(5475 - 4745\right)
\rightarrow\ ₹730
\therefore\ 1 year simple interest is =₹\large\frac{730}2 or ₹365
So, in 3 years,
Simple interest is =₹\left(365\times3\right)
\rightarrow\ ₹1095
And principal is =\left(amount\ -\ s.i.\right)
\rightarrow ₹\left(4745-1095\right)
\rightarrow\ ₹3650
We know, Rate =\large\frac{100\times S I}{P\times T}
\therefore Rate =\large\frac{100\times1095}{3650\times3}
\rightarrow10 % p.a.
Ans: The sum is ₹3650 & per annum rate 10 %.

Other variants of this particular math question are:

1. How to find the principal and interest rate per annum when the simple interest yields ₹4745 in 3 years and ₹5475 in 5 years?
2. What is the loan amount and annual interest rate when the simple interest grows to ₹4745 in 3 years and ₹5475 in 5 years?
3. Finding the principal sum and annual interest rate per annum when the simple interest reaches ₹4745 in 3 years and ₹5475 in 5 years.
4. How to calculate the principal amount and annual interest rate when the simple interest on a loan grows to ₹4745 in 3 years and ₹5475 in 5 years?