Check sibling questions

Ex 8.3, 1 (a) - Rs 10,800 for 3 years at 12 1/2 % compounded annually

Ex 8.3, 1 (a) - Chapter 8 Class 8 Comparing Quantities - Part 2
Ex 8.3, 1 (a) - Chapter 8 Class 8 Comparing Quantities - Part 3
Ex 8.3, 1 (a) - Chapter 8 Class 8 Comparing Quantities - Part 4

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Ex 8.3, 1 (a) Calculate the amount and compound interest on (a) Rs 10,800 for 3 years at 12 1/2 % per annum compounded annually Given, Principal (P) = 10, 800 Time = 3 years Rate (R) = 12 1/2 per Annum compounded Annually. = 25/2 % Amount (A) = P (1+𝑅/100)^𝑛 = 10,800 (1+(25/2)/100)^3 = 10,800 (1+25/(2 × 100))^3 = 10,800 (1+1/(2 ×4))^3 = 10,800 (1+1/8)^3 = 10,800 ((8 + 1)/8)^3 = 10,800 × (9/8)^3 = 10,800 × (9 × 9 × 9 )/(8 × 8 × 8 ) = 5400 × (9 × 9 × 9 )/(4 × 8 × 8 ) = 2700 × (9 × 9 × 9 )/(2 × 8 ×8 ) = 2700 × (81 × 9 )/(2 × 64 ) = 2700 × 729/(128 ) = 2700 × 729/(128 ) = 1968300/(128 ) = 15377.34 ∴ Amount after 3 years = Rs 15,377.34 Now, Amount = Principal + Interest 15377.34 = 10800 + Interest 15377.34 – 10800 + Interest 4577.34 = Interest ∴ Interest = Rs 4,577.34

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.