Question

Find the amount received by ravi after 4 1/2 years for leading ₹ 1200 at the rate of 8%p.a.

Answer 1

Answer:

• Principal = Rs. 1200
• Rate = 8% per annum
• Time = 4½ years = 4.5 years
• Amount = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Amount=Principal+Simple\:Interest\\\\\\:\implies\sf Amount=Principal+\dfrac{PRT}{100}\\\\\\:\implies\sf Amount = 1200 + \dfrac{1200 \times 8 \times 4.5}{100}\\\\\\:\implies\sf Amount = 1200 +(12 \times 8 \times 4.5)\\\\\\:\implies\sf Amount = 1200 + (12 \times 36)\\\\\\:\implies\sf Amount = 1200 +432\\\\\\:\implies\sf Amount = Rs.\:1632$

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$\therefore\:\underline{\textsf{Hence, amount received by Ravi is \textbf{Rs. 1632}}}.$

$\rule{200}{1}$

You can use this Formula Directly

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$\dashrightarrow\sf \dfrac{Amount \times 100}{100+(Rate \times Time)}=Principal\\\\\\\dashrightarrow\sf \dfrac{Amount \times 100}{100+(8 \times 4.5)} = 1200\\\\\\\dashrightarrow\sf \dfrac{Amount}{100+36} = 12\\\\\\\dashrightarrow\sf \dfrac{Amount}{136} = 12\\\\\\\dashrightarrow\sf Amount = 12 \times 136\\\\\\\dashrightarrow\sf Amount = Rs.\:1632$

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$\therefore\:\underline{\textsf{Hence, amount received by Ravi is \textbf{Rs. 1632}}}.$