Question

16,820 is divided between Govind and Geeta, both aged 27 and 25 years respectively.
Their money is invested at 5% per annum compound interest in such a way that both receive
equal money at the age of 40 years. Find the share of each out of 16,820.


Please answer with steps(To be marked as brainly)
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Answer 1

Answer:

Govind share= Rs.8820/- and Geeta Share= Rs. 8000/-

Step-by-step explanation:

Let Govind have share of money= x

then Geeta share= 16820-x

Interest rate = 5%

Time of Govind= 40-27= 13 years

Time of Geeta= 40-25= 15 years

They receive equal money at the age of 40 years

As we know,

A= P(1+R)^n

after their age of 40 years

Share of Govind = Share of Geeta

x(1+5/100)^13= (16820-x)×(1+5/100)^15

dividing both sides by (1+5/100)^13

we get,

x= (16820-x)×(1+5/100)^2

x= (16820-x)×(1.05)^2

x= (16820-x)×1.1025

x=16820×1.1025-1.1025x

2.1025x= 18544.05

x= 8820

Govind Share = Rs. 8820/-

Geeta share= 16820-8820= Rs. 8000/-

Now Please mark it as brainliest

Answer 2

Answer:

Step-by-step explanation:

Govind share= Rs.8820/- and Geeta Share= Rs. 8000/-

Let Govind have share of money= x

then Geeta share= 16820-x

Interest rate = 5%

Time of Govind= 40-27= 13 years

Time of Geeta= 40-25= 15 years

They receive equal money at the age of 40 years

As we know,

A= P(1+R)^n

after their age of 40 years

Share of Govind = Share of Geeta

x(1+5/100)^13= (16820-x)×(1+5/100)^15

dividing both sides by (1+5/100)^13

we get,

x= (16820-x)×(1+5/100)^2

x= (16820-x)×(1.05)^2

x= (16820-x)×1.1025

x=16820×1.1025-1.1025x

2.1025x= 18544.05

x= 8820

Govind Share = Rs. 8820/-

Geeta share= 16820-8820= Rs. 8000/-