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Edward and Hayward are partners. Edward draws a fixed amount at the beginning of everyquarter. Interest on drawings is charged @10% p.a. At the end of the year, interest on Edward’sdrawings amounted to Rs.7,500. Drawings of Edward were:(a) Rs. 34,000 per quarter.(b) Rs. 44,000 per quarter(c) Rs. 30,000 per quarter(d) Rs. 60,000 per quarter

Question

Edward and Hayward are partners. Edward draws a fixed amount at the beginning of everyquarter. Interest on drawings is charged @10% p.a. At the end of the year, interest on Edward’sdrawings amounted to Rs.7,500. Drawings of Edward were:(a) Rs. 34,000 per quarter.(b) Rs. 44,000 per quarter(c) Rs. 30,000 per quarter(d) Rs. 60,000 per quarter

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Solution

The interest on Edward's drawings is given as Rs. 7,500 for the year, with an interest rate of 10% per annum.

The formula to calculate interest is:

Interest = Principal * Rate * Time

We know the Interest (Rs. 7,500) and the Rate (10% per annum or 0.10), and we know the Time is 1 year. We need to find the Principal, which in this case is Edward's quarterly drawing.

However, since Edward draws the amount quarterly, the average principal for the year would be half of the total amount drawn. This is because the first quarter's drawing would have been in the account for the whole year, while the last quarter's drawing would have been in the account for only a quarter of the year.

So, we rearrange the formula to solve for the Principal:

Principal = Interest / (Rate * Time)

Substituting the given values:

Principal = 7,500 / (0.10 * 1) = Rs. 75,000

Since this is the average principal for the year, the total amount drawn by Edward in the year would be twice this amount, i.e., Rs. 150,000.

Since Edward draws this amount quarterly, his quarterly drawing would be Rs. 150,000 / 4 = Rs. 37,500.

So, none of the given options (a) Rs. 34,000 per quarter, (b) Rs. 44,000 per quarter, (c) Rs. 30,000 per quarter, (d) Rs. 60,000 per quarter match the calculated quarterly drawing of Edward.

This problem has been solved

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