Question

Naina lent rupees 65536 for 2 year at 12 whole 1 upon 2 % p a compounded annually how much more she earn if the interest was compounded half yearly​

Answer 1

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$\huge\bold\red{\underline{\underline{{Answer:}}}}$

• Naina lent rupees 65536 for 2 year at 12 whole 1 upon 2 % p a compounded annually how much more she earn if the interest was compounded half yearly

$\huge\bold\red{\underline{\underline{{Answer:}}}}$

$\large\bold\blue{\underline{\underline{{Given:-}}}}$

• $\sf\large\green{P = 65536}$

• $\sf\large\green{ R = \frac{35\%}{2} }$

• $\sf\large\green{Rate \: of \: interest \: for \: a \: half \: year = \frac{25\%}{4} }$

$\large\bold\green{\underline{\underline{{To Find:-}}}}$

• How much more she earn if the interest was compounded half yearly.

$\large\bold\orange{\underline{\underline{{Solution:-}}}}$

$\sf\large\pink{⇝A = P \times (1 + \frac{r}{100} {)}^{n} }$

$\sf\large\pink{⇝65536 \times ( \frac{17}{16} {)}^{4} }$

$\sf\large\pink{⇝17 \times 17 \times 17 \times 17 = 83521 }$

$\sf\large\pink{⇝CI \: = 17985 \: Rs }$

$\sf\large\pink{⇝a = p \times (1 + \frac{r}{100} {)}^{n} }$

$\sf\large\pink{⇝65536 \times (1 + \frac{25}{100 \times 2} {)}^{2} }$

$\sf\large\pink{⇝65536 \times \frac{9}{8} \times \frac{9}{8} = 82944}$

$\large{\boxed{{\bf{CI \: = A - P }}}}$

$\sf\large\pink{⇝82944 - 65536 = 17408}$

$\sf\large\pink{⇝17985 - 17408 = 577}$

$\sf\large\pink{⇝So, \: CI \: = 577}$

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Answer 2

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