Question
Rs. 10,200 is the amount after 2 years when invested at r%
p.a. in simple interest. If the rate had been (r + 6)% p.a., the final amount would be Rs. 10,920. What was the original principal?Solution
ATQ,
Let the sum invested be Rs. ‘P’.
Simple interest at r% = 10200 – P
So, 10200 – P = P × 2 × r ÷ 100
Or, 50 × (10200 – P) = Pr ………. (I)
Interest at (r + 6)% = 10920 – P
So, 10920 – P = P × (r + 6) × 2 ÷ 100
Or, 50 × (10920 – P) = Pr + 6P ………. (II)
Using (I) and (II),
546000 – 50P = 510000 – 44P
36000 = 6P
P = 6000
Sum invested = Rs. 6,000
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