A sum of money at simple interest becomes five times in 24 years the rate of interest per annum is

20181612

Answer : A

Solution : Let the sum be Rs. X. <br> `therefore "Amount = Rs. 5x` <br> Simple interest = Amount - Principal = Rs. 5x - Rs x = Rs. 4x <br> Let the number of years be n. <br> We have simple interest `=(PTR)/(100)`. <br> `rArr 4x = (x xx n xx 20)/(100)` <br> `rArr 4 = (n)/(5) rArr n= 20` <br> `therefore` In 20 years, the sum becomes 5 times itself. <br> Hence, the correct option is (a).

In a certain time, a sum of money becomes five times itself if the rate of the interest is 16% p.a. Then the certain time (in years) is:

  1. 30
  2. 38
  3. 32
  4. 25

Answer (Detailed Solution Below)

Option 4 : 25

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Given:

A sum of money becomes five times itself

Rate =16% p.a

Formula used:

SI = (P × R × T) / 100

SI = Simple Interest

P = Principal

T = Time

R = Rate

Calculation:

Let initially Principal be x

⇒ It becomes 5x in t time perod

⇒ Simple interest = 5x - x 

⇒ 4x

⇒ 4x = (x × 16 × t) / 100

⇒ 4 × 100 = 16t

⇒ t = 25 years

∴ It takes 25 years to become 5 times 

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A sum of money at simple interest becomes four times in 24 years. What is the rate of interest per annum?

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Solution

The correct option is C 1212%We have, n = 4 and T =24 years. ∴ Rate of interest =100(n−1)T=100(4−1)24 =1212%

In what time does a sum becomes 5 times at the simple interest at the rate of 5% per annum?

Answer. Hence, the correct answer is 11%.

At what rate percent per annum will a sum of money becomes 5 times in 20 years at simple interest?

r=204×100=20%

At what rate of simple interest does a sum of money become five times?

Detailed Solution Let the principal be P. ∴ The rate of interest is 25%.

At what rate of simple interest does a sum of money becomes 5 times of itself in 12 years?

100 becomes 500; Rate=TimeInterest=12400=33. 3%