In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually

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2178 = 1800(1+10/100)^n (The formula is P(1+r/100)^n) 

2178/1800 = (1+10/100)^n

121/100 = (11/10)^n

(11/10)^2 = (11/10)^n

n = 2.

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In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually? for Class 8 2022 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually? covers all topics & solutions for Class 8 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually?.

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In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually

Correct Answer - Option 3 : 2

Given:

Principal = Rs 1,800

Final amount = Rs 2,178

Rate of interest = 10%

Concept used:

Amount after ‘n’ years for a Principal of P and rate of interest of r% compounded annually, A = P × (1 + r/100)n

Calculation:

A = P × (1 + r/100)n

2,178 = 1,800 × (1 + 10/100)n

⇒ 2,178/1,800 = (11/10)n

⇒ 121/100 = (11/10)n

⇒ (11/10)2 = (11/10)n

⇒ n = 2

In two years the amount of Rs 1,800 will become Rs 2,178 at 10% compounded annually.

In what time will 1800 amount to 2178 at 10% per annum compounded annually?

⇒t=2 years.

How many years will ₹ 1800 amount to ₹ 2178 at 10% per annum when compounded annually 4 marks Add File submit clear form?

We know thatA = P(1+r100)n ⇒ (1+r100)n=AP⇒ (1+10100)n=21781800⇒ (1110)n=121100=(1110)n(Dividing by 18)∴ While comparing, we getn=2∴ Period = 2 years Ans.

What is the compound interest on Rs 10000 for 2 years at rate of interest 10% per annum?

Compound Interest would be 12100rs.

In what time will Rs 6250 amounts to Rs 7290 at 8% per annum compounded annually?

So, in 2 years Rs. 6250 will amount to Rs. 7290.