The ratio of principal and the compound interest value for three years (compounded
annually) is 216: 127. The rate of interest is
Answers
Answer:
If an amount becomes Rs. 125 after 2 years interest to be compounded half yearly and Rs 216 in 3 years then interest will be 62.90% PA approx. and amount will be Rs. 41.87 to be as under:
Rs. 125 will become Principal amount for 3rd year for interest calculation, and Rs 216 is the amount, assuming interest to be R%PA the equation will be as under-
216=125(1+R/2×100)^2. (R devided by 2 as interest calculated for half year and time one year multiplied by 2 as interest to be calculated twice in a year in 3 rd year on Rs 125)
216/125=(1+R/200)^2
1.728=(1+R/200)^2
1.3145341^2=(1+R/200)^2
1.3145341=1+R/200
0.3145341=R/200
0.3145341×200=R
R=62.90% PA approx.
The principal amount may be calculated placing sum to be Rs 125 interest 62.90% PA No. Of years 2 interest to be compounded 4 times and interest to be taken one half of 62.90% for half year ie. 31.45 and principal amount will come to Rs 41.87 approx.
We may verify the answer taking Rs. 41.87 as Principal amount interest rate 62.90% PA, sum will be Rs. 125 after 2 years and 216 after 3 years. Hope this is correct pls mark me as brainliest it helps me a lot
Step-by-step explanation:
Answer:
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