the simple interest on a certain sum of money at 7/2% per annum for 47/21 year is Rs.658 the sum is
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Let the sum = P
time = 2 \frac{1}{3} 2
3
1
years = 7/3 years
rate = 3 \frac{3}{4} 3
4
3
% = 15/4 % per annum
SI = Rs. 210
\begin{gathered}SI = \frac{PTR}{100} \\ \\ \Rightarrow P = \frac{100 \times SI}{TR} \\ \\ \Rightarrow P = \frac{100 \times 210}{ \frac{7}{3} \times \frac{15}{4} } =\frac{100 \times 210 \times 3 \times 4}{ 7\times 15 } =Rs.\ 2400\end{gathered}
SI=
100
PTR
⇒P=
TR
100×SI
⇒P=
3
7
×
4
15
100×210
=
7×15
100×210×3×4
=Rs. 2400
The sum is Rs. 2400
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