Question

Divide ₹4200 into two parts so that the simple interest on the first part for 2.5 years at 10% per annum may be the same as the simple interest on the second part for 4 years at 12.5% per annum.​

Answer 1

Step-by-step explanation:

let first part be x

second part=(4200-x)

s.i on first part:-

x×2.5×10×1/100=25x/100

s.i on second part:-

(4200-x)×12.5×4×1/100

=5/10(4200-x)

atq, ( 4200-x)5/10=25x/100

(-5/10x)+2100=25x/100

(25x/10)+(5x/10)=2100

30x/10=2100

x=(2100×10)/30

x=700

( required)

first part=x =700

second part =(4200-x)

=4200-700

=3500