a certain sum of money triples itself in 16 years. In how many years will it becomes 5 times at the same rate?
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1st case
let p= ₹100 & amt= ₹300
therefore SI= ₹300 - 100 = ₹200
given t = 16yrs
therefore R= 100× SI ÷ p×t
=100 × 200 ÷ 100×16 = 12.5%
2nd case
p =₹100 amt= ₹500
therefore SI = ₹500-100 = ₹400
r =12.5%
therefore T = 100 × SI ÷ p×r
=100 × 400 ÷ 100× 12.5 = 32yrs
hope u understood >_<
let p= ₹100 & amt= ₹300
therefore SI= ₹300 - 100 = ₹200
given t = 16yrs
therefore R= 100× SI ÷ p×t
=100 × 200 ÷ 100×16 = 12.5%
2nd case
p =₹100 amt= ₹500
therefore SI = ₹500-100 = ₹400
r =12.5%
therefore T = 100 × SI ÷ p×r
=100 × 400 ÷ 100× 12.5 = 32yrs
hope u understood >_<
asmit21:
hyyy
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0
In 32 years the amount will become 5 times the principle
Given:
A certain sum of money triples itself in 16 years.
Find:
In how many years will it becomes 5 times at the same rate
Solution:
- Case 1
- First we have to find out the rate of simple interest
- Let the sum be x
- Given, after 3 years it becomes three times itself
- Amount after three years = 3x
- Interest = Amount - principle = 3x - x = 2x
- Time required = 16 years
- Let the rate be r
- Interest (I) =
- 2x =
- 2 =
- or
- r =12.5%
- Case 2
- p=x, Amount = 5x
- Interest = 5x-x =4x
- Rate = 12.5%
- Time required for the amount to become 5 times =
- =
- =
- = 32 YEARS
- It takes 32 years for the amount to become 5 times the principle
#SPJ2
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