Question

Divide rs. 13010 into two parts so that the amount of first part in 2 years is same as the amount of second part in 4 years at the rate of 4% p.a. compounded anually

Answer 1

Answer:

Let the first part be x.

Second part =8000−x

We have

100

x×5×12

=

100

(8000−x)×2×18

5x=24000−3x

8x=24000

x=3000

∴ First part = Rs. 3000.

Second part = Rs. 5000.

Answer 2

Answer:

Step-by-step explanation:

here,

first part

Let the amount = x, Rate = 4%

Time = 2 years

Now,

By using formula compounded anually

pt = p (1+R /100) ^T

= x (1+4/100) ^2

=x(1.04) ^2

second part

p = Rs(13010 - x)

R= 4%

T=44yrs

By using formula compounded anually

pt = p (1+R /100) ^T

= (3010 - x) (1+4/100) ^4

= (13010 - x) ((1.04) ^4

The first amount same as the amount of second part

A. T.

pt1 =pt2

x(1.04) ^2= (13010 - x) ((1.04) ^4

or, x = (13010 - x) ((1.04) ^2

or, x =14,071.616 - 1.0816x

or, x+1.0816x = 14,071.616

or, 2.0816x =14071.616

so x = 14071.616/2.0816

i. e x =Rs.6,760

so, the first amount is Rs 6,760

and second part = 13010 -

= 13010 - 6760

=Rs.6,250

so, second part pries is Rs 6,250