Ex 8.3, 7 - Chapter 8 Class 8 Comparing Quantities
Last updated at Nov. 12, 2018 by Teachoo
Last updated at Nov. 12, 2018 by Teachoo
Transcript
Ex 8.3, 7 Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find (i) The amount credited against her name at the end of the second year. Given, Principal (P) = Rs 8000 Rate (R) = 5% per annum Time = 2 Years We need to find the amount after 2 years So, we use the formula A = P ("1 + " ๐/100)^๐ Putting values A = 8000 ("1 + " 5/100)^2 = 8000 ("1 + " 1/20)^2 = 8000 ((20 + 1)/20)^2 = 8000 (21/20)^2 = 8000 ร ((21 ร 21)/(20 ร 20)) = 80 ร ((21 ร 21)/(2 ร 2)) = 20 ร 21 ร 21 = 20 ร 441 = 8820 โด Amount after 2 years = Rs 8,820 Ex 8.3, 7 (Method 1) Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find (ii) The interest for the 3rd year. Interest in 3rd year = Amount after 2 years ร Rate = 8820 ร 5/100 % = 8820 ร 5/100 = 8820 ร 1/20 = 882/2 = 441 โด Interest for the 3rd year = Rs 441 Ex 8.3, 7 (Method 2) Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find (ii) The interest for the 3rd year. Now, Interest for the 3rd year = Amount after 3 years โ Amount after 2 years Finding Amount after 3 years Amount after 3 years = P (1+๐ /100)^๐ Putting values Amount = 8000 (1+5/100)^3 = 8000 (1+1/20)^3 = 8000 ((20 + 1)/20)^3 = 8000 (21/20)^3 = 8000 ร (21 ร 21 ร21)/(20 ร 20 ร20) = 8000 ร (441 ร 21)/(400 ร 20) = 8000 ร 9261/8000 = 9261 Therefore, Interest for the 3rd year = Amount after 3 years โ Amount after 2 years = 9261 โ 8820 = 441 โด Interest for the 3rd year = Rs 441
Compound Interest
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