Solution
Let the principal ( P ) = Rs x
Amount = A = Rs 3x
Simple interest ( I ) = A - P
I = 3x - x
I = 2x
Rate of interest ( R ) = 40/3 %
Let time = T years
PTR/ 100 = I
T = ( 100 I ) / PR
= ( 100 × 2x ) / ( x × 40/3 )
= ( 100 × 2 × 3 ) / 40
= 15
Therefore ,
T = 15 years
I hope this helps you.
Number of years in which a sum of money triples itself when the rate of interest being 5% is
- 20
- 30
- 10
- 40
Answer (Detailed Solution Below)
Option 4 : 40
Free
100 Questions 100 Marks 120 Mins
Given:
The sum of money triples itself.
Rate of interest = 5%
Concept used:
Simple interest = PRT/100
Amount = SI + P
P → principal R → rate of interest T → time
Calculation:
Amount = 3P
Simple interest = 3P - P = 2P
2P = P × 5 × T/100
T = 200/5 = 40 years
∴ The number of years by which a sum will triple itself at 5% p.a is 40 years.
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Important Civilization in Rajasthan
15 Questions 15 Marks 10 Mins
Given:
Rate (R) = 20%
Formula used:
S.I. = (P × R × T)/100
Where, S.I. → Simple Interest
P → Principal
R → Rate
T → Time
Calculations:
Let the sum of money be Rs. P.
So, A = 3P
And S.I. = A - P = 3P – P = 2P
Thus T = (100 × S.I.)/(P × R)
⇒ T = (100 × 2P)/(P × 20) = 10 years
∴ The required time is 10 years.
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the given question is in how much time will a sum of money triples itself at 25% per annum right so let us assume let the sum of money aur which we can call it is principle bpxx2 we have assumed that the amount the principal amount is rupees X so they are saying at in how much time so we need to find value of time right we don't have value of time right now we have given that at rate of 25% so rate is given is 25% saying that it will triple itself write the amount we will get is amount will be triple which means 3 times of principle write three times of principle which means
3x surmount s3x so now we know that amount is Principal plus interest right so first of all we need to find value of interest value of interest can be determined as b into our into t upon hundred tried so value of P is principal amount is X into latest 25 into time is left city and upon 125 125 force so interest is X into TX Ti bi fore right sunao we know that amount is equal to principal plus interest value of amount is 3x right we have value of amount s3x principle as X and interest we have XT by so3 put it in negative sign so we're left with 3 x minus 6 is equals to x t by
3 x minus axis 3x 3x - 2 x = 2 x 3 by 4 write so now we have X Put It Down value of x to X by X equal to have to find value of time right so access cancelled so now we're left with two equal to 3 by 4 multiply 3 year so value of 22 and 24 which is it so in 8 years of time in 8 years of time the amount of the principal amount will XXXL right this is our required answer