Question

At what rate percent per annum simple interest will the sum triple itself in 16 years

Answer 1

Solution :

Let the principal ( p ) = Rs x

Amount ( A ) = Rs 3x

Simple interest ( I ) = A - P

= 3x - x

= 2x

Time ( t ) = 16 years

Let the rate of interest = r %

We know that ,

( ptr )/100 = I

=> ( x × 16 × r )/100 = 2x

=> r = ( 2x × 100 )/( x × 16 )

=> r = 100/8

= 12.5 %

••••

Answer 2

Answer:

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Step-by-step explanation:

The simple interest formula is

The simple interest formula isS= P (1+ i n) = P + inP

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is n

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for n

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)Given:

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)Given:S=3P

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)Given:S=3Pi = 16% = .16

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)Given:S=3Pi = 16% = .16then

The simple interest formula isS= P (1+ i n) = P + inPIn this problem the unknown is nSolving the above for nn = (S - P) / (P i)Given:S=3Pi = 16% = .16thenn = (3P - P) / (P .16) = 2 /.16 = 12.5 years