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Directions (1 - 5): The cumulative bar chart below gives us the production of four Products A, B, C and D for four years. It is known that the total production increases @20% over its value in the previous year. The difference between C's production in 2003 and A's production in 2001 is 2640 units.

Production of A, B, C and D.
Bar Chart  direction image
1
If the price of B is Rs. 125 per unit, what is the sales revenue in the same year due to sale of B (in Rupees Lakhs)?
Discuss
Answer & Solution
Assume the total production of the first year as 10000, second year becomes 12000, third year 14400 and fourth year 17280.
Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
∴ Revenue
= 125 × 0.4 × 30000
= 1500000
2
Assuming no pile up of inventory at the beginning or the end of the year, what is the ratio of the number of units of C produced in these four years?
Discuss
Answer & Solution
Assume the total production of the first year as 10000, second year becomes 12000, third year 14400 and fourth year 17280.
Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
Ratio of the number of units C produced in four year,
= 0.2 × 25000 : 0.2 × 30000 : 0.2 × 36000 : 0.2 × 43200
= 250 : 300 : 360 : 432
= 175 : 150 : 180 : 216
3
If the price of four products is in ratio of 3 : 5 : 7 : 8, what is the ratio of the ratio of the revenue generated by these products in 2002?
Discuss
Answer & Solution
Assume the total production of the first year as 10000, second year becomes 12000, third year 14400 and fourth year 17280.
Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
Ratio of revenue generated in 2002,
= 2 × 3 : 4 × 5 : 2 × 7 : 2 × 8
= 6 : 20 : 14 : 16
= 3 : 10 : 7 : 8
4
If due to extra set up time required, the production in 2001 drops by 12.5% over that in 2000, what should be the growth rate of production in 2002 to maintain the compounded annual growth rate (CAGR) of 20% (Approx)?
Discuss
Answer & Solution
Assume the total production of the first year as 10000, second year becomes 12000, third year 14400 and fourth year 17280.
Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
Growth rate of production
= $$\frac{\left(144-87.5\right)\times100}{87.5}$$
= 65% (approx)
5
Which of the following is Not true?
Discuss
Answer & Solution
Statement C is not true, since both A and B have not shown an increasing trend.