Question

A sum was invested for 3 years as per C.I and the rate of interest for first year is 9%, 2nd year
is 6% and 3rd year is 3% p.a. respectively. Find the sum if the amount in three years is `550?

Answer 1

Answer:

Principal = 550*100*100*100

109*106*103

= 462.16 (Ans.)

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Answer 2

The sum is Rs. 462.16.

Step-by-step explanation:

Since we have given that

Number of years = 3

Rate of interest in the first year = 9%

Rate of interest in the second year = 6%

Rate of interest in the third year = 3%

Amount in three years = Rs. 550

So, According to question, we get that

$550=P(1+\dfrac{r_1}{100})\times (1+\dfrac{r_2}{100})\times (1+\dfrac{r_3}{100})\\\\550=P(1+\dfrac{9}{100})(1+\dfrac{6}{100})(1+\dfrac{3}{100})\\\\550=P(1+0.09)(1+0.06)(1+0.03)\\\\550=P(1.09)(1.06)(1.03)\\\\\dfrac{550}{1.09\times 1.06\times 1.03}=P\\\\462.16=P$

Hence, the sum is Rs. 462.16.

# learn more:

Find the amount and compound interest on a sum of Rs 15000 invested for 3 years at the rate of 8% for first year ,10% for 2nd years and 12% for the 3rd year

https://brainly.in/question/6655678