Math, asked by lakshaygoel2006, 9 months ago

the difference betwwen the ci and si on sum of money at 20/2%per annum for 3 years is 46

Answers

Answered by Anonymous

Step-by-step explanation:

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The sum is rs.3382.352

Step-by-step explanation:

Let the principal be x

Time = 3 years

Rate of interest =

\frac{20}{3}\%

Formula :

A=P(1+r)^t

A=x(1+\frac{20}{300})^3

A=1.2136x

Compound interest = Amount - principal = 1.2136x- x=0.2136x

Formula :

SI = \frac{P \times R \times T }{100}

SI = \frac{x \times \frac{20}{3} \times 3 }{100}

SI = 0.2 x

Now we are given that the difference between the compound interest and simple interest is Rs.46

So,

0.2136x-0.2x = 46

0.0136x = 46

x = \frac{46}{0.0136}

x = 3382.352

Hence the sum is rs.3382.352

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