On 1st January every year, a person buys N.S.Cs
(National Savings Certificates) of value exceeding
that of his last year's purchase by Rs. 100. After
10 years, he finds that the total value of the
certificates held by him is Rs. 54,500.
Find the value of the certificates purchased by him :
(a) In the first year
(b) In the eighth year

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Answers

2014-12-27T20:21:42+05:30
Let the value of the certificates purchased by him in the first year be 'x.'
Therefore, values of the certificates purchased for the next 10 years:
x, x+100, x+200, x+300..........x+900.
Ans. (a) : x + x+100 + x +200 + x+300 + x+400 + x+500 + x+600 + x+700 + x+800 + x+900 = 54500
10x +4500 = 54500
10x = 54500 - 4500
10x = 50000
x = 50000/10
x = 5000
Therefore, the value of certificates purchased by him in the first year is Rs. 5000.
Ans. (b) : 5000 + 5100 + 5200 + 5300 + 5400 + 5500 + 5600 + 5700
            = Rs. 42800
The value of certificates purchased by him in the eighth year is Rs. 42,800.
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