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The rate of simple interest per annum of bank being decreased from 5% to \(3\frac{1}{2}\%\), the annual income of a person from interest was less by Rs. 105. The sum deposited at the bank was

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The rate of simple interest per annum of bank being decreased from 5% to \(3\frac{1}{2}\%\), the annual income of a person from interest was less by Rs. 105. The sum deposited at the bank was
1). Rs. 7,000
2). Rs. 6,000
3). Rs. 7,200
4). Rs. 6,800


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Answered by on | Votes 2 |

We know that, SI = P × R × T/100

Where, P = Principal, R = % rate of interest, T = time in years

Here, SI1 = P × R1 × T/100 and SI2 = P × R2 × T/100

SI1 – SI2 = P × (R1 – R2) × T/100

Change in the interest rate = 1.5%

Change in the interest obtained = 105

⇒ 105 = P × 1.5/100 = 7000

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