Question

Which sum at 10% rate of interest will amount to rs 1800 in 8 years.

Answer 1

Let x be the principal
Here,
A=1800,T=8 yrs,R=10%
A=P(1+RT/100)
1800=x(1+10*8/100)
1800=x(5+4/5)
1800=9/5x
x=1800*5/9
P=1000
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Answer 2

The required sum is Rs. 839.71.

Step-by-step explanation:

Since we have given that

Rate of interest = 10%

Amount = Rs. 1800

Time = 8 years

We need to find the sum.

As we know the formula:

$A=P(1+\dfrac{r}{100}0^n\\\\1800=P(1+\dfrac{10}{100})^8\\\\1800=P(1.1)^8\\\\\dfrac{1800}{1.1^8}=P\\\\839.71=P$

Hence, the required sum is Rs. 839.71.

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Which sum at 10% rate of interest will amount to rs 1800 in 8 years.