Question

36. If the difference between the compound and simple interests on a certain sum of money for 3 yr at 5% per annum is 15.25, then the sum is (1) 2000 (2) 1000 (3) 1500 (4) 2500

11th - 12th Class

Maths

Solution

4.0 (1 ratings)

begin{tabular}{c} ( c I-S I=15 cdot 25 ) ( c I=Pleft(1+frac{R}{100}right)^{n}-P ) begin{tabular}{c} ( S I=P times n times R ) 100 ( C I=Pleft(1+frac{5}{100}right)^{3}-P ) ( S I=frac{P times 3 times 5}{18020} ) ( C I-S I=15 cdot 25 ) ( Pleft(1+frac{5}{100}right)^{3}-P-frac{P times 3}{20}=15 cdot 25 ) ( Pleft[(1.05)^{3}-1-frac{3}{20}right]=15 cdot 25 ) ( P(0.007625)=15.25 ) ( P=15.25 ) hline( P=720007625 ) end{tabular} hline end{tabular}