two equal amount of some are deposited in bank at the rate 5% per annum the Amount deposited for three and five years respectically if the difference between the Si obtained is 120 rupees then find the sum
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Given :-
- Two equal amount of some are deposited in bank at the rate 5% per annum.
- The Amount deposited for 3 and 5 years.
- The difference between the SI obtained is Rs.120.
Solution :-
Let us Assume that, Equal Amount deposited in the bank are Rs.x .
→ Simple Interest = (Principal * Rate * Time) / 100
We have given that :-
- Principal = Rs.x and Rs.x
- Time = 3 years ans 5 years.
- Rate = 5% and 5% .
- Difference between SI = Rs.120
Putting all values in SI formula we get ,
→ {(x * 5 * 5)/100} - {(x * 3 * 5)/100} = 120
→ (25x/100) - (15x/100) = 120
→ (25x - 15x) / 100 = 120
→ (10x/100) = 120
→ x/10 = 120
→ x = 120 * 10
→ x = Rs.1200 (Ans.)
Hence, The Equal sum Deposited in bank is Rs.1200 .
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