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Do It Yourself · Q2

Q.Ram and Syam are partners sharing profits/losses equally. Ram withdrew ₹1,000 p.m. regularly on the first day of every month during the year 2015-16 for personal expenses. If interest on drawings is charged @ 5% p.a. Calculate interest on the drawings of Ram.

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A fixed ₹1,000 withdrawn at the start of every month averages 6½ months outstanding; interest on the ₹12,000 total @ 5% p.a. works out to ₹325.

Concept

For a fixed amount withdrawn on the first day of every month, the first withdrawal is outstanding for 12 months and the last for 1 month, so the average period is (12+1)/2 = 6½ months — this shortcut avoids computing each of the 12 withdrawals separately.

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