At what percent per annum simple interest will a sum become three times of itself in 16 years?

A sum of money, lent out at simple interest, doubles itself in 8 years. Find :
(i) the rate of interest
(ii) in how many years will the sum become triple (three times) of itself at the same rate percent?

Solution

Let P = Rs.100, A = Rs.200

I = Rs.200 − Rs.100 = Rs.100, T = 8 years

R =`(100xx"I")/("P"xx"T")=(100xx100)/(100xx8)`

`=100/8=25/2%`

Now again P = Rs.100

A = Rs.300

I = Rs.300 − Rs.100 = Rs.200

R = `25/2%`

T =`(100xx"I")/("P"xx"R")=(100xx200)/(100xx25/2)=(100xx200xx2)/(100xx25)`

= 16 Years

So the given sum of money will become triple in 16 years.

Concept: Concept of Principal, Interest, Amount, and Simple Interest

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SSC GD Previous Paper 2 (Held On: 13 Feb 2019 Shift 1)_Hindi

100 Questions 100 Marks 90 Mins

Given:

Amount = 3/2 of the sum

Time = 3 years

Formula used:

Simple interest = (P × R × T)/100

Amount = Principal + Interest

Calculation:

Let the sum of money be P

Amount after 3 years will be 3/2P

Now, by using the formula

3/2P – P = (PR × 3)/100

⇒ R = 50/3 = 16\(\frac{2}{3}\)%

∴ The rate of interest is 16\(\frac{2}{3}\)%. 

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A sum becomes three times of itself in 10 years at the rate of simple interest. What is the rate of interest per annum?

  1. 25%
  2. 20%
  3. 15%
  4. 30%

Answer (Detailed Solution Below)

Option 2 : 20%

Free

CT : GK (Ancient History)

10 Questions 10 Marks 6 Mins

Given:

A sum becomes three times of itself in 10 years at the rate of simple interest

Amount(A) = 3Principal(P)

Time(T) = 10

Rate(R)

Formula Used:

Amount = Principal + Simple Interest(S.I)

S.I = (P × R × T)/100

Calculation:

Here A = 3P

3P = P + ((P × 10 × R)/100)

3P = P (1 + (10 × R)/100)

300 = 100 + 10R

10R = 200

⇒ R = 20%

∴ The rate of interest per annum is 20%.

At what percent per annum simple interest will a sum become three times of itself in 16 years?

Formula used:

S.I = A - P

S.I = (P × R × T)/100

Calculation:

Here A = 3P

⇒ S.I = 3P - P

⇒ S.I = 2P

⇒ 2P = P × R × 10/100

⇒ R = 2 × 10 = 20%

∴ The rate of interest per annum is 20%.

Last updated on Oct 7, 2022

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At what percent per annum simple interest will a sum become three times of itself in 16 years?

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At what rate percent per annum will a sum triples itself in 16 years?

⇒R=2P×100P×16=12.5%

At what rate percent per annum will a sum triple itself in 12 years?

Ans 16. 6% 3) Was this answer helpful?

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