Question

A certain sum amounted to Rs. 5,750 in 2.5 years at 6% p.a. Find after how many more years it will amount to Rs. 6,200​

Answer 1

Answer:

1 year 3 months

Step-by-step explanation:

s.i = p x r x t / 100 , t = s.i. x 100 / pr

s.i = 6200 - 5750 = rs. 450

t = 450 / 6 x 100 / 5750 = 1 year 3 months

Answer 2

The answer is 4 years

Given: A certain sum amounted to 5,750 at R = 6% per annum for 2.5 years

To find: For how many years the amount will be 6,200

Solution: Let us assume that the principal amount P = P

From data on amount P, at Rate 6% per annum for 2.5 years = 5,750 Rs

Now calculate interest on P, at R = 6% for T = 2.5 years

As we know interest  $I = \frac{PTR}{100}$

⇒ interest on P,  $I = \frac{P(2.5)(6)}{100} = \frac{P15}{100} = P(0.15)$  

And total amount = P + 0.15P =  1.15 P

From given data  1.15 P = 5,750 Rs

⇒ P = $\frac{5750}{1.15} =5000$  

Therefore, the certain amount P = 5000

Now find for how many years 5000 will be 6,200 at R = 6%

Let after T years the amount will 6,200

Now total amount on 5000 at Rate of 6% for T years  

interest,  $I = \frac{5000(T)6}{100}$ = 300T

and the total amount = 5000+300T  which is equal to 6,200

⇒ 5000+300T = 6,200

⇒ 300T = 6200 - 5000

⇒ 300T = 1200

⇒ 3T = 12

⇒ T = 4 years

Therefore, for 4 years the amount will be 6,200 Rs

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