A.P

Level pending

A man arranges to pay a debt of Rs90,000 in 40 instalments which are in A.P when 30 instalments were paid he died leaving a third of the debt unpaid. Find the value of any one instalment.(pls write the solution)

Rs 1375 Rs 1300 Rs 200 Rs 1200

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2 solutions

Omkar Kulkarni
Jan 17, 2015

For the A.P., S 40 S_{40} is 90000 90000 , which simplifies to give us 2 a + 39 d = 4500 2a+39d=4500 .

It is also given that S 30 + 30000 = 90000 S 30 = 60000 S_{30}+30000=90000 \Rightarrow S_{30}=60000 , which simplifies to give us 2 a + 29 d = 4000 2a+29d=4000 .

These two equations can be solved to obtain a = 1275 a=1275 and d = 50 d=50 .

From the options, it can now be observed that 1375 \boxed{1375} is an obvious solution.

Guiseppi Butel
Jan 7, 2015

60000=30/2[2a + 29d]

90000=40/2[2a + 39d]

a=1275, d=50

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