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Answer:
950
is 100% correct
go through the answer properly you will understand
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Step-by-step explanation:
[tex]first \: we \: have \: to \: find \: the \: \\ orignal \: money[/tex]
[tex]given \\ r = 5\% \\ amount = 896 \\ t = \frac{12}{5} \: year(in \: mixed \: frac)[/tex]
[tex]let \: it \: be \: x \\ si = \frac{p \times t \times r}{100} [/tex]
[tex]amount = si + principal = 896[/tex]
[tex] = \geqslant x + \frac{x \times \frac{12}{5} \times 5 }{100} = 896 \\ = \geqslant x + \frac{12x}{100} = 896 \\ = \geqslant \frac{100x + 12x}{100} = 896 \\ [/tex]
[tex] = \geqslant 112x = 896 \times 100 \\ = \geqslant x = \frac{896 \times 100}{112} \\ x = 800[/tex]
[tex]now \: r = same = 5\% \\ time \: or \: t = 3 \: year \: 9 \: month \\ = 3\: \frac{9}{12} = \frac{15}{4} \\ principal = 800[/tex]
[tex]si = \frac{(800 \times 5 \times \frac{15}{4}) }{100} = \frac{15000}{100} = 150 \\ amount = si + principal \\ = 150 + 800 = 950[/tex]