Question

A sum of money becomes 12500 after 3 years and 18750 after 6 years on compound interest find the sum

Answer 1

hlo friend
this will help you

Answer 2

If a sum of money becomes 12500 and 18750 after 3 years and 6 years on compound interest respectively, then the sum is Rs. 8333.34.

Step-by-step explanation:

Required Formula:

• Amount, A = P [1+ R/100]ⁿ

Let the sum of money be Rs. “P”.

According to the data given in the question and based on the above formula, we can write the eq. as,

12500 = P (1 + $\frac{R}{100}$)³ ….. (i)  

and  

18750 = P (1 + $\frac{R}{100}$)⁶ ..… (ii)

On dividing the eq. (ii) by (i), we get  

(1 + $\frac{R}{100}$)³ =  $\frac{18750}{12500}$

⇒ (1 + $\frac{R}{100}$)³ = 1.5 …… (iii)

Substituting the eq. (iii) in (i),we get

P * 1.5 = 12500

⇒ P = $\frac{12500}{1.5}$

⇒ P = Rs. 8333.34

 

Thus, the sum is Rs. 8333.34.

------------------------------------------------------------------------------------------

Also View:

Ram and Shyam together lent Rs. 3364 at 5% compound interest, compounded  annuslly. The amount Ram gets at the end of three years is the same as  Shyam gets at the end of five years. The share of Ram in principal amount is ?

https://brainly.in/question/14165069

Find the compound interest on rs 8000 for 1½ year at 10% pa if interest being compounded half yearly ?

https://brainly.in/question/3083328