# A sum of money kept in a hank amounts to Rs. 600/– in 4 years and Rs. 800/– in 12 years. Find the sum and interest carried every year.

Let the required sum = a

and the interest carried every year = d

According to question,

In 4years, a sum of money kept in bank account = Rs. 600

i.e. t5 = 600 a + 4d = 600 …(i)

and in 12 years , sum of money kept = Rs. 800

i.e. t13 = 800 a + 12d = 800 …(ii)

Solving linear equations (i) and (ii), we get

a + 4d – a – 12d = 600 – 800

– 8d = –200

d = 25

Putting the value of d in eq.(i), we get

a + 4(25) = 600

a + 100 = 600

a = 500

Hence, the sum and interest carried every year is Rs 500 and Rs 25 respectively.

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