QUANTITATIVE METHODS (MARKS 100)
Module A (3 hours)
Q.1 (a) The selling price of an item is Rs. 300 and the gross profit is 15% of cost.
Compute the cost. (02)
(b)
Find the value of x where xx 212 63 =
− (03)
(c) Determine the value of x by using quadratic formula where 9x2 – 81 = 0 (04)
Q.2 The cost of producing x units of a product is given by the function:
000,125.3)( += xxC
In addition to the above, each unit is subject to a special levy of 20 paisa for earthquake
victims. You are required to determine:
(a) the minimum number of items that should be produced and sold to avoid any loss,
if each unit is sold for Rs. 6.
(b) the minimum price per unit that should be charged to avoid any loss, if the
estimated sales is 6000 units. (04)
Q.3 (a) A person deposited Rs. 100,000 in a bank for three years. The bank paid interest
at the rate of 8% per annum compounded half yearly during the first year and at
the rate of 12% per annum compounded quarterly during the last two years. Find
his balance after three years. (04)
(b) How long will it take for a sum of money to double itself at 10% simple interest? (01)
Q.4 A machine costs a company Rs. 5,200,000 and its effective life is estimated to be 20
years. A sinking fund is set up for its replacement by a new machine at the end of its life
time, when its scrap value will be Rs. 250,000 only. The price of the new machine is
estimated to be 50% higher than that of the present one. Determine what amount should
be set aside at the end of each year, if it earns 8% interest per annum compounded
annually. (06)
Q.5 (a) Find dx
dy if y = 3
ax
e (03)
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