What rate percent per annum compound interest will 6250 amount to 7290 in 2 years?

What rate percent per annum compound interest will 6250 amount to 7290 in 2 years?

RS Aggarwal - Mathematics — Book

Chapter 11. Compound Interest

Subject Maths - Class 8th

Q. No. 21 of Exercise 11B

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21

In how many years will Rs. 6250 amount to Rs. 7290 at 8% per annum, compounded annually?

Let time = n years

P = Rs.6250

A = Rs.7290

R = 8% per annum

Now,

Amount (A) = P (1 + R/100)n [Where, A = Amount with compound interest

P = Present value

R = Annual interest rate

n = Time in years]

A = P (1 + R/100)n

7290 = 6250 (1 + 8/100)n

(1 + 2/25)n = 7290/6250

(27/25)n = 729/625

(27/25)n = (27/25)2

n = 2

Time = 2 years.


The compound interest obtained on Rs. 6,250 for two years at the rate of interest 8% per annum, compounded annually, will be:

This question was previously asked in

SSC MTS 2020 (Held On : 13 Oct 2021 Shift 3 ) Official Paper 21

View all SSC MTS Papers >

  1. Rs. 1,040
  2. Rs. 1,500
  3. Rs. 1,450
  4. Rs. 1,020

Answer (Detailed Solution Below)

Option 1 : Rs. 1,040

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10 Questions 50 Marks 7 Mins

Given

Principal = Rs. 6,250

Time = 2 years

Rate = 8% per annum

Formula used

A = P(1 + r%)t

where p and r are principal and rate respectively

Compound interest = Amount - Principal

Calculation

A = 6250 (1 + 8%)2

A = 6250 × (108/100) × (108/100)

A = 6250 × (27/25) × (27/25)

A = 10 × 27 × 27

A = 7290

Compound interest = 7290 - 6250

⇒1040

∴ Compound interest is Rs.1040

Last updated on Sep 27, 2022

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Updated On: 27-06-2022

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In what time will rupees 6250 amount to rupees 7290 at 8% per annum compounded annually?

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

What will be the compound interest for Rs 6250 at 8% pa compounded annually for 2 years?

=6760–6250=₹ 510. Was this answer helpful?

At what rate percent per annum compound interest will rupees 625 amount to rupees 729 in 2 years?

Thus, rate of interest = 4%. Q.

What principal investment will yield of 6156 and 7290 in two and five years respectively at a specific?

Answer: 13/1350 investment will yield an amount of Rs. 6156 and Rs. 7290 in two and five years respectively at a specific equal rate of simple interest?