At what rate per cent per annum simple interest will a sum doubles itself in 10 years?

Let the principal be x
Time = 10 years
Amount after 10 years gets doubled
So amount = 2x
simple interest = amount - principal
simple interest = 2x - x = x
Rate per annum = SI × 100 / P × T
= x × 100 / x × 10
100x/ 10x = 10
So rate per annum = 10%.

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15 Questions 15 Marks 12 Mins

At what rate per cent per annum simple interest will a sum doubles itself in 10 years?
Shortcut Trick

Let the Principal be 100.

P = 100,  then A = 200 and SI will be 200 - 100 = 100 

SI = 100 for 10 years 

Rate = 100/10 = 10%.

∴ The rate of interest is 10%.

Traditional method:

Given: 

Time period = 10 years

Formula used:

SI = (P × R × T)/100

A = P + SI

Where, P = principal, R = rate, T = time, SI = simple interest

Calculations:

The sum of money is 2P

SI = 2P - P

⇒ P = (P × R × 10)/100

⇒ 1 = R/10

⇒ R = 10%

∴ The rate of interest is 10%.

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Updated On: 27-06-2022

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`8%``10%``12%``12.1/2%`

Answer : B

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At what rate percent per annum simple interest will sum double itself in 12 years?

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