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Question

Babubhai borrows Rs. 4000 and agrees to repay with a total interest of Rs. 500 in 10 installations, each instalment being less than the preceding instalment by Rs. 10. What should be the first and last installment?

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Solution

The installments are in A.P. with difference 10.
Hence,
a+a10+a20+a30+.....+a90=500
10(a+a90)2=500
2a90=100
a=95

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