Question

) Which is better investment 8% compounded half-yearly or 7.9% compounded
monthly?
कौन सा बेहतर निवेश है 8% मिश्रित छमाही या 7.9% मिश्रित मासिक?​

Answer 1

Step-by-step explanation:

Given  Which is better investment 8% compounded half-yearly or 7.9% compounded monthly?

• Now we have to find amount  
• So A = P (1 + R/100)^n
• According to question we have 8% compounded half yearly
• So rate of interest R = 4% and amount after 6 months will be
• P(1 + 4/100)  
• P (104 / 100)
• 1.04 P
• Now 7.9% compounded monthly will be
• So rate of interest will be R = 7.9 / 12 %  
• Now after 6 months will be  
• P (1 + 7.9 / 12 / 100 )^6
• P(1 + 7.9 / 1200)^6
• P(1207.9 / 1200)^6
• 1.0401 P
• So we have 7.9% compounded monthly is better compared to 8% compounded half yearly.

Reference link will be

https://brainly.in/question/18934023

Answer 2

Which is better investment 8% compounded half-yearly or 7.9% compounded  monthly?

Step-by-step explanation:

(1) Compounded half yearly :-

Let P = Rs.100000. , r = 8/2 = 4% p.half yearly. , t = 1 half yearly. , A=?

A = 100000 . (1+4/100)¹ = Rs.104000.

(2) Compounded monthly :-

Let P= Rs.100000. , r= 7.9/12 % p.month. , t =6 months. , A =?

A = 100000 . (1 +7.9/1200)⁶.

or, A = 100000. (12079/12000)⁶.

or, logA = log100000 +6.(log12079 - log 12000).

or, log A = 5.00000 + 6.(4.0820309813- 4.079181246).

or, logA = 5.0000 + 6.(0.0028497353).

or, logA = 5.00000+ 0.0170984118.

or, log A = 5.0170984118.

or, A = Antilog 5.0170984118.

or, A = Rs.104015.60.

7.9 % compounded monthly is better option to select.