Question

what sum of money will fetch rs.661.50 as simple intrest i one year 9 months at 20/3 per annum?​

Answer 1

Answer:

Rs. 5,670.

Step-by-step explanation:

We're given simple interest, time and rate. We've to calculate the sum of money i.e. Principal.

Time = 1 year and 9 months.

As we can see in the question given that time is 1 year and 9months. We need to convert 1year and 9 months first into months and then we will convert it into year.

1year = 12months

∴ 1year and 9 months = 12 + 9 = 21 months.

Now converting months into year.

To convert months into year we've to divide the given months by 12.

Time = 21/12 = 7/4 years.

Rate = 20/3% p.a.

Simple Interest = Rs. 661.50.

$\:\:\:\:\:\:\:\bf{P = \dfrac{100 \times I}{R \times T}} \\ \\ \\ \rm:\implies{P = \frac{100 \times 661.50}{ \dfrac{20}{3} \times \dfrac{7}{4}}} \\ \\ \\ \rm:\implies{P = \frac{66150}{ \dfrac{35}{3} } } \\ \\ \\\rm:\implies{P = 66150 \times \frac{3}{35} } \\ \\ \\\rm:\implies{P = 1890 \times 3} \\ \\ \\ \sf \therefore{Principal =Rs. \: 5,670.}$

Hence, sum of money will be Rs. 5,670.

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