TUU9 10,820 is divided between Govind and Geeta, both aged 27 and 25 y

1.	TUU9 10,820 is divided between Govind and Geeta, both aged 27 and 25 years respectivelyTheir money is invested at 5% per annum compound interest in such a way that both receiveequal money at the age of 40 years. Find the share of each out of 16,820,Solution :
Answer» 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/- = Rs.8000/- .

TUU9 10,820 is divided between Govind and Geeta, both aged 27 and 25 years respectivelyTheir money is invested at 5% per annum compound interest in such a way that both receiveequal money at the age of 40 years. Find the share of each out of 16,820,Solution :

Answer»

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/-

= Rs.8000/- .