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:
- 30
- 38
- 32
- 25
Answer (Detailed Solution Below)
Option 4 : 25
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Important Civilization in Rajasthan
15 Questions 15 Marks 10 Mins
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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100 Questions 100 Marks 90 Mins
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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%