Q32 of 176 Page 8

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.


More from this chapter

All 176 →
30

The sum of the 4th and Sth terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of A.P.

 31

A person was appointed in the pay scale of Rs. 700–40–1500. Find in how many years he will reach maximum of the scale.

 33

A man starts repaying, a loan with the first instalment of Rs. 100. If he increases the installment by Rs. 5 every month, what amount he will pay in the 30th instalment?

 1

Three numbers are in A.P. Their sum is 27 and the sum of their squares is 275. Find the numbers.