Question

Anoop borrowed Rs. 800 at 6 % p.a. & Rs. 1200 at 7 % p.a. for the same duration. He had to pay Rs. 1584 in all as interest. Find the time period.

Answer 1

Given:

Interest at 1st rate for 1 year:

$\implies$ 800 × (6 × 1) / 100

$\implies$ 800 × 6 / 100

$\implies$ 4800 / 100

$\implies$ Rs. 48

Now:

Interest for 1 year at 2nd rate:

$\implies$ 1200 × (7 × 1) / 100

$\implies$ 1200 × 7 / 100

$\implies$ 8400 / 100

$\implies$ Rs. 84

Therefore:

Total interest for 1 year:

$\implies$ Rs. 48 + Rs. 84

$\implies$ Rs. 132

Hence:

The required time:

$\implies$ 1584 / 132

$\implies$ 12 years

Final answer: 12 years

Answer 2

SOLUTION ☺️

1 case

=) Rs.800 at 6% per annum

=) 800× 6/100

=) 4800/100

=) 48 Rs.

2 case

=) Rs. 1200 at 7%

=) 1200×7/100

=) 8400/100

=) 84.

(1case+ 2case)

=) (48+84)Rs.

=) 132Rs.

Duration required

=) All Interest= 1584Rs.

So,

=) 1584/132

=) 12 years ans.

hope it helps ✔️