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A sum of money triples itself in 15 years on simple interest. In how many years will it become five times at the same rate of interest on simple interest?
- 30 years
- 25 years
- 15 years
- 20 years
- 10 years
Answer (Detailed Solution Below)
Option 1 : 30 years
Free
Syllogism (Clear Your Basics)
10 Questions 10 Marks 10 Mins
Given:
Time = 15 years; Amount = 3 × principal
Formula used:
Amount = Principal + simple Interest
Simple interest = [(Principal× Rate× Time)/100]
Calculation:
3P = P + (P × R × 15)/100
⇒ 2p = (p × R × 15)/100
⇒ (2× 100)/15 = R
⇒ 40/3 % = R
Now, 5P = P + (P × 40/3 × t)/100
⇒ 4P = (P × 40/3 × t)/100
⇒ (3 × 100)/10 = t
⇒ 30 years = t
∴ A sum of money becomes five times in 30 years.
Initial sum | Final sum | Difference |
P | 3P(Triple of initial sum) | 2P in 15years |
P | 5P(five times of Initial sum) | 4P in 30 years |
Time taken to for 2P is 15 years hence time taken for 4P will be 30 years ( just double of it).
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Updated On: 27-06-2022
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40 years 36 years 30 years 25 years
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