Question

A certain sum amounts to ₹ 5292 in two years and ₹ 5,556.60 in three years interest being compounded annually. find
1. The rate of interest
2. The original sum ​

Answer 1

Answer:

Here are your answers

rate is 5% n sum is 4800.

Step-by-step explanation:

It is given that

• A = 5292 -- 2 yr
• A = 5556.60 -- 3 yr

find rate?

• 5292 = P( 1+ r/100)^2 -- (1)
• 5556.60 = P (1+ r/100)^3 -- (2)

Divide 2 by 1

• 5556.60 = P (1+ r/100)^3
• 5292 = P( 1+ r/100)^2

here P and yr get cancelled

5556.60

r/ 100 = --------- - 1

5292

264.6× 100

= ------------

5292

rate = 5%

find principle?

• 5292= P ( 1+ 5/100)^2
• = P ( 21/20)^2
• = P ( 441/ 400)
• = 5292× 400/ 441
• = 2116800/ 441

sum= 4800.