QUANTITATIVE METHODS (MARKS 100)
Module A (3 hours)
Q.1 (a) A briefcase selling for Rs. 1,500 was marked down by 20% for a special
promotion. It was later marked down further by 10% of the promotional sales
price. Compute the profit / loss in percentage if the cost is Rs. 1,000. (03)
(b) Using quadratic formula, solve the following equation:
11110 2+−=+ xxx (04)
Q.2 A manufacturer produced 1200 units of a product in the first week. He wishes to plan
his production and is considering the following options:
Option 1: Increase production by 80 units each week
Option 2: Increase production by 5% each week
Under each of the above options, compute the following:
(a) Output in the 20th week. (04)
(b) Total output of the first 20 weeks. (04)
Q.3 (a) The holder of a Promissory Note of Rs. 500,000 bearing interest at the rate of
9%, wishes to have it discounted, three months before the maturity date. The
note was originally payable after one year of the date of issue. Compute the
amount which the holder would receive if the discount rate is 10%. (05)
(b) Hasan wants to save money over a period of ten years in order to meet the
expenses to be incurred on higher education of his son. He has recently invested
a sum of Rs. 100,000 and plans to save and invest Rs. 40,000 at the end of each
year. Calculate the amount that will be available to him at the end of the 10th
year, if he earns a profit of 8% each year. (05)
Q.4 The total cost function of a product is defined by:
000,101208
3
2
3++−= QQ
Q
TC
You are required to:
(a) Derive the marginal cost function. (02)
(b) Determine the average cost of producing 1000 units. (02)
(c) Determine the cost of producing the 6th batch, if the production is made in
batches of 50 each. (03)
Q.5 Differentiate the following with respect to x:
x
x
y+
=1
2
(05)
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