Mr. Ram is a Partner in a firm. He draws 5000 at the beginning of every month. Calculateinterest on drawing @ 12% p.a. for the year 2016
Question
Mr. Ram is a Partner in a firm. He draws 5000 at the beginning of every month. Calculateinterest on drawing @ 12% p.a. for the year 2016
Solution 1
To calculate the interest on Mr. Ram's drawings, we need to know that interest on drawings is calculated on a monthly basis. Here are the steps:
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Mr. Ram draws 5000 at the beginning of every month. So, for January, the period will be 12 months, for February, it will be 11 months, and so on, until December, which will be 1 month.
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The formula to calculate interest is: Interest = Principal x Rate x Time. In this case, the principal is the amount drawn each month, the rate is 12% per annum (or 1% per month), and the time is the number of months.
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Calculate the interest for each month:
- January: 5000 x 1% x 12 = 600
- February: 5000 x 1% x 11 = 550
- March: 5000 x 1% x 10 = 500
- April: 5000 x 1% x 9 = 450
- May: 5000 x 1% x 8 = 400
- June: 5000 x 1% x 7 = 350
- July: 5000 x 1% x 6 = 300
- August: 5000 x 1% x 5 = 250
- September: 5000 x 1% x 4 = 200
- October: 5000 x 1% x 3 = 150
- November: 5000 x 1% x 2 = 100
- December: 5000 x 1% x 1 = 50
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Add up the interest for each month to get the total interest for the year: 600 + 550 + 500 + 450 + 400 + 350 + 300 + 250 + 200 + 150 + 100 + 50 = 3900
So, the interest on Mr. Ram's drawings for the year 2016 is 3900.
Solution 2
To calculate the interest on Mr. Ram's drawings, we need to consider that he withdraws 5000 at the beginning of each month. This means that the amount withdrawn in January will have been in his possession for the entire year, the amount withdrawn in February for 11 months, and so on, until the amount withdrawn in December, which will have been in his possession for just one month.
Here's how to calculate the interest:
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Calculate the product of the amount withdrawn each month and the number of months that amount has been in Mr. Ram's possession. Do this for each month:
January: 5000 * 12 = 60000 February: 5000 * 11 = 55000 March: 5000 * 10 = 50000 April: 5000 * 9 = 45000 May: 5000 * 8 = 40000 June: 5000 * 7 = 35000 July: 5000 * 6 = 30000 August: 5000 * 5 = 25000 September: 5000 * 4 = 20000 October: 5000 * 3 = 15000 November: 5000 * 2 = 10000 December: 5000 * 1 = 5000
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Add up all these amounts to get the total amount on which interest is calculated:
60000 + 55000 + 50000 + 45000 + 40000 + 35000 + 30000 + 25000 + 20000 + 15000 + 10000 + 5000 = 390000
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Calculate the interest on this total amount at 12% per annum:
(390000 * 12) / 100 = 46800
So, the interest on Mr. Ram's drawings for the year 2016 is 46800.
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