Question

Find the rate% when ₹48,000 becomes ₹51916.80 in 1 year if the interest is compounded half-yearly.

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Answer 1

Answer:

A=51916.80RS

P=48000RS

TIME=1 YEAR=2 HALF YEARLY

R=?

A= P(1+R/100)²

51916.80RS =48000(1+R/100)²

51916.80/48000= (1+R/100)²

52/50=1+R/100

104=100+R

R=4%

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Answer 2

Answer:

Rate% =8%

Check:

$48000(1 + \cancel\frac{8}{200} ) {}^{2n} \\ 48000 (\frac{26}{25} ) {}^{2} \\ 48000 \times \frac{26}{25} \times \frac{26}{25} \\ \purple : \green\implies \: \red{\underline{ \blue{\boxed{ \orange{51916.80}}}}}$