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Two banks, A and B, offered loans at 3.5% and 7% per annum, respectively. Akshay borrowed an amount of ₹4,60,000 from each bank. Find the positive dif
Question

Two banks, A and B, offered loans at 3.5% and 7% per annum, respectively. Akshay borrowed an amount of ₹4,60,000 from each bank. Find the positive difference (in ₹) between the amounts of simple interest paid to the two banks by Akshay after 4 years.

A.

64,400

B.

65,900

C.

63,900

D.

65,400

Correct option is A

Given
Principal amount (P) = ₹4,60,000
Rate of Bank A (R1) = 3.5%
Rate of Bank B (R2) = 7%
Time period (T) = 4 years
Formula Used
Simple Interest (SI) =P×R×T100 \frac{P \times R \times T}{100}​​

Difference = P×(R2R1)×T100 \frac{P \times (R2 - R1) \times T}{100}​​
Solution
Rate Difference = 7%3.5%=3.5%7\% - 3.5\% = 3.5\%​​
Difference in SI = 460000×3.5×4100\frac{460000 \times 3.5 \times 4}{100}​​
Difference in SI = 4600×3.5×44600 \times 3.5 \times 4​​
Difference in SI =  4600×144600 \times 14​​
Difference in SI = 64400
The difference between the amounts of simple interest paid is ₹64,400.
Final Answer
So the correct answer is (a)

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