Question

Puneet took₹2,20,000 from his friend Ramneet at the rate of 12% pa.compound annually for 5/2
years and gave this money to this friend Rajesh at same rate for same time but compound half yearly
Find the earning of Puneet in this transaction.​

Answer 1

Solution :-

→ Principal = Rs.2,20,000

→ Rate = 12% PA compounded annually .

→ Time = (5/2) years. = 2(1/2) years.

→ Amount :- (when time is in Fraction )

• Assume Time whole As = W .
• And, Fraction Time as = F .
• Amount = P [ 1 + (R/100) ]^W * [ 1 + {(F*R)/100} ]

from question we have w = 2 , F = (1/2) .

Putting all values now, we get,

→ Amount = 220000[ 1 + (12/100)]² * [ 1 + (0.5*12)/100 ]

→ Amount = 220000[ 1 + (3/25)]² * [ 1 + (3/50)]

→ Amount = 220000(28/25)² * (53/50)

→ Amount = (220000 * 784 * 53) / (625 * 50)

→ Amount = Rs.292,526.08

So, Puneet has to pay Rs.292,526.08 back to his friend Ramneet.

____________

Case 2)

→ Principal = Rs.2,20,000

→ Rate = 12% PA compounded half yearly = (12/2) = 6% PA.

→ Time = (5/2) years. = (5/2) * 2 = 5 years.

→ Amount = P[ 1 + (R/100)]^Time

Putting all values,

→ Amount = 220000[1 + (6/100)]⁵

→ Amount = 220000[ 1 + (3/50)]⁵

→ Amount = 220000(53/50)⁵

→ Amount = Rs.294,409.62

So, Rajesh has to pay Rs.292,526.08 back to his friend Puneet.

___________

Therefore,

→ Earning of Puneet in this transaction = 294,409.62 - 292,526.08 = Rs.1883.54 (Ans.)

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Answer 2

Answer:

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