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Two banks, A and B, offered loans at 3.5% and 7.5% per annum, respectively. Sachin borrowed an amount of ₹2,00,000 from each bank. Find the positive d
Question

Two banks, A and B, offered loans at 3.5% and 7.5% per annum, respectively. Sachin borrowed an amount of ₹2,00,000 from each bank. Find the positive difference (in ₹) between the amounts of simple interest paid to the two banks by Sachin after 4 years.

A.

32,000

B.

33,000

C.

31,500

D.

33,500

Correct option is A

Given:
Principal amount (P) for each bank = ₹2,00,000
Rate for Bank A = 3.5% p.a.
Rate for Bank B = 7.5% p.a.
Time (T) = 4 years
Formula Used:
Simple Interest (SI) = P×R×T100\frac{P × R × T}{100}​​
Difference in SI = P×(R2R1)×T100\frac{P × (R_2 - R_1) × T}{100}​​
Solution:
Difference in interest rates = 7.5% - 3.5% = 4%
Difference in Simple Interest = 200000×4×4100 \frac{200000 × 4 × 4}{100}​​
= 2000 × 16
= 32000
Thus, the positive difference in simple interest is ₹32,000.
Final Answer
So the correct answer is (a)

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