If rs. 650 amounts to rs.790 in 4 years, then what sum of money will it amount to in 7 years at the same rate of interest.

➪SI = FA - PA = 790 - 650 = rs.140

⇒T = 4 years

⇒

⇒140

Answer:

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Question

If rs. 650 amounts to rs.790 in 4 years, then what sum of money will it amount to in 7 years at the same rate of interest.

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Answer

➪SI = FA - PA = 790 - 650 = rs.140

⇒T = 4 years

⇒SI = \frac{PRT}{100}SI=

100

PRT

⇒140 =\frac{ \cancel{65} \cancel0 \times \: R \times \cancel4 }{ \cancel{10} \cancel0} ==

10

0

65

0

×R×

4

=

\begin{gathered} \frac{ \cancel{65} \cancel0 \times \: R \times \cancel4 }{ \cancel{10} \cancel0} \\ = R = \frac{ \cancel{140}}{13 \times \: \cancel{ 2}} \\ = \frac{70}{13}\% \\ = FA = \frac{650 + 650 \times \frac{70}{13} \times 7 }{100} \\ = 650 + 245 = 895\end{gathered}

10

0

65

0

×R×

4

=R=

13×

2

140

=

13

70

%

=FA=

100

650+650×

13

70

×7

=650+245=895