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)
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For the A.P., S 4 0 is 9 0 0 0 0 , which simplifies to give us 2 a + 3 9 d = 4 5 0 0 .
It is also given that S 3 0 + 3 0 0 0 0 = 9 0 0 0 0 ⇒ S 3 0 = 6 0 0 0 0 , which simplifies to give us 2 a + 2 9 d = 4 0 0 0 .
These two equations can be solved to obtain a = 1 2 7 5 and d = 5 0 .
From the options, it can now be observed that 1 3 7 5 is an obvious solution.