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A man arranges to pay a …

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A man arranges to pay a debt of Rs.3600 in 40 monthly installments which are in a AP. When 30 installments are paid he dies leaving one third of the debt unpaid. Find the value of the first installment

Posted by Tanushree Maity 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Ram Kushwah 6 years, 9 months ago

AS The man planned to pay Rs 3600 in 40 installmetnts

So S₄₀=3600=40/2(2a+39d)

3600 / 20 = 2a+39d

2a+39d=180 -------(1)

Now as 1/3rd of debt is left to pay,so paid by man

=(1-1/3)*3600=2/3*3600=2400

So S₃₀=2400

30/2(2a+29d)=2400

2a+29d=2400/15

2a+29d=160-------(2)

Now subtracting (02 ) from (1)

10d=20

d=2 Rs

Now putting d=20 in (1)

2a+39*2=180

2a=180-78=102

a=51 Rs

So first installment =Rs 51

1Thank You

Ramila Jain 6 years, 9 months ago

0Thank You

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