Question

at what rate percent per annum compound interest will rupees 6250 amount to rupees 7290 in 2 years​

Answer 1

Answer:

The answer will be 8%

Step-by-step explanation:

Amount=P(+Rate/100)square

Amount=7290

Principal=6250

Rate=?

Time=2years

7290=6250(1+R/100)square

7290/6250=(1+R/100)square

1.08= 1+R/100

R/100=1.08-1

R/100=0.08

R=0.08×100

R=8%

Answer

Answer 2

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At what rate percent per annum compound interest will rupees 6250 amount to rupees 7290 in 2 years

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⠀⠀⠀⠀⠀➩ Amount = 7290

⠀⠀⠀⠀⠀➩ Principal = 6250

⠀⠀⠀⠀⠀➩ Time = 2 years

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➩ we have to find the rate

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⠀⠀⠀➩ $\bf \green{Amount = p(1 + \frac{rate}{100} ) {}^{time} }$

$\implies\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf7290 = 6250(1 + \frac{R}{100} ){}^{2} \\ \\\implies \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \frac{7290}{6250} = (1 + \frac{R}{100} ) {}^{2}$

$\implies \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \: 1 + \frac{R}{100} = \sqrt{ \frac{729}{625} } \\ \\\implies \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \: \frac{100 + R}{100} = + - \frac{27}{25} \\ \\ \implies\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \:100 + R= \frac{27}{25} \times 100 \\ \\ \implies\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \:R= 108 - 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \: \large{\underline{ \boxed{ \pink{\:R= 8\%}}}}$

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