if the simple interest on a certain sum for 15 months at 7.5% per annum exceeds the simple interest on the same sum for 8 months at 12.5% per annum by Rs 32.5, then the sum is
To find the sum, we need to set up an equation based on the given information.
Let's assume the sum is S.
According to the given information:
Simple Interest for 15 months at 7.5% per annum = (S * 7.5 * 15) / 100
Simple Interest for 8 months at 12.5% per annum = (S * 12.5 * 8) / 100
We are also given that the simple interest for 15 months at 7.5% per annum exceeds the simple interest for 8 months at 12.5% per annum by Rs 32.5.
So, we can set up the equation as follows:
(S * 7.5 * 15) / 100 - (S * 12.5 * 8) / 100 = 32.5
Now, let's solve this equation to find the value of S.
Taking the LCM of (100 * 15) and (100 * 8), we get:
(15S * 7.5) - (8S * 12.5) = 32.5 * 1200
112.5S - 100S = 39000
12.5S = 39000
S = 39000 / 12.5
S ≈ 3120
Therefore, the sum is approximately Rs 3120.
A(.075*15/12) - A(.125*8/12) = 32.50
x = 3120