A certain amount to rupees 3825 in 4 years and to rupees 4050 in 6 years. Find the rate percent and the sum.
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Solution:-
Simple interest for 2 years = Rs. 4050 - Rs. 3825 = Rs. 225
And simple interest for 4 years = Rs. 225*2 = 450 Rs.
So, Principal = Rs. 3825 - Rs.450 = Rs. 3375
Now,
Simple interest = (P*R*T)/100
450 = (3375*R*4)/100
13500R = 45000
R = 45000/13500
Rate of interest = 10/3 %
Therefore, Rate of interest is 10/3 % and Principal is Rs. 3375
Answer.
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