Question

If 1,200 amounts to 1,740 in 5 years, find the sum that will amount to 2,720 in 4 years at the same rate of interest per annum.​

Answer 1

$\huge \underbrace{Answer:}$

⚘Formula used:

• S.I = (p×r×t)/100
• P=(I×100)/R×T
• R=(I×100)/P×T
• T=(I×100)/P×R
• Amount= Principal+Interest

⚘Solution:

Given,

Amount= Rs.1740

Principal= Rs.1200

Interest= Rs.(1740-1200) = Rs.540

R= (540×100)/(1200×5) = 9%

Let the Principal be p.

S.I = (p×r×t)/100

=>S.I= (p×9×4)/100

=> S.I= 9p/25

Now,

Amount= Interest+Principal

=> 2720= 9p/25 + p

=> 2720×25=9p+25p

=> p= 68000/34

=> p= 2000

Therefore, The Principal is Rs.2000