Question

16) In what time a certain sum will become 13/4
time at 5%?​

Answer 1

Answer:

in what time a certain sum will become thirteen percent for time at five percent = 12 month 26 minutes

Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Correct\: Question}}}}}}$

• In what time sum becomes 13/4 times of the sum at the interest of 5% per annum .

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$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Principle = x
• Amount = $\sf\dfrac{13x}{4}$
• Interest = $\sf\dfrac{13x}{4} - x = \dfrac{13x-4x}{4} = \dfrac{9x}{4}$
• Rate = 5%

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Time = ?????

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{Interest= \dfrac{p\times r\times t}{100}}}}}$

$\sf\implies \dfrac{9x}{4} = \dfrac{ x \times 5\times time }{100}$

$\sf\implies \dfrac{9x\times 100 }{4\times 5x} = time$

$\sf\implies \dfrac{9x\times 25 }{5x} = time$

$\sf\implies \dfrac{9\times 25 }{ 5} = time$

$\sf\implies 9\times 5 = time$

$\sf\leadsto time = 45 years$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Amount will be 13/4 of the principle in 45years at 5%