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Let, rate of interest = p.a.
Then, no of years =
Now,
p.a.
It is given that
Amount after 6 years= Rs.6192
Amount after 12 years=Rs.8784
Interest from year to year i.e., interest for a period of 6 years
Principal=Amount after 6 years- Interest for 6 years
Let the investment be x and rate of interest be r
So after one year earning = x(1 + r)
Now, if R = r + 0.05
Then, earning = x(1 + r + 0.05)
According to the question the difference in earnings is Rs. 1250
Therefore, x(1 + r + 0.05) - x(1 + r) = 1250
⇒ 0.05x = 1250
⇒ x = Rs. 25000
Hence , I = ………………..(1)
Also , (I + 9240) = ……………..(2)
Subtract (1) from (2) , we get
⇒
Hence, Sum is Rs. 33000
Let, 100k is the sum of money to be deposited
Difference in S.I. = (5 × 7 – 3 × 9) k = 475
⇒ 8k = 475
⇒ k = 475/8
100k = 100 × 475/8 = Rs. 5937.5.
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