Question

A man invested equal sum of money , one at 6% S.I. and the other 5% C.I . if the former earns rs. 637.50 more as intrest at the end of 2 yrs . find the his investment in each case and the total amount invested .​

Answer 1

Answer:

Answer

Let the sum be x and y.

then according to the question

⇒

100

x×6×2

+y×7×2/100=354

⇒12x+14y=35400

⇒6x+7y=17700.....................eq1

One-fourth of the first sum is equal to one-fifth of the second sum

Then

4

x

=

5

y

⇒5x=4y

⇒5x−4y=0...........eq2

Multiply eq 1 by 4

⇒24x+28y=70800.............eq3

Multiply eq 2 by 7

⇒53x−28y=0.................eq4

Add eq 3 and eq4

⇒59x=70800

⇒x=1200

Put the value of x In eq2

⇒5×1200−4y=0

⇒−4y=−6000

⇒y=1500

Total sum=1200+1500=2700Rs.