Data related to 5 companies which produces specific quantity of products (in lakhs) during the given years is mentioned in the table below.
| Companies | 2000 | 2001 | 2002 | 2003 |
|---|---|---|---|---|
| A | 35 | 10 | 60 | 5 |
| B | 20 | 20 | 30 | 50 |
| C | 40 | 23 | 70 | 40 |
| D | 31 | 30 | 10 | 20 |
| E | 31 | 41 | 20 | 10 |
a) In which year all the companies together produces the maximum products.
b) Production of B & C together in year 2000 is what percent of Production by D and E in year 2003?
c) What is the ratio of production by A & D in 2001 to the Production by B & E in 2003?
d) . If the profit generated on selling one product produced by A is Rs. 4.5, then find the total profit earned on selling all the products of A in all year together.
Let’s analyze the data provided in the table to answer the questions:
a) In which year all the companies together produces the maximum products.
Total production in each year:
– 2000: \(35 + 20 + 40 + 31 + 31 = 157\) lakhs
– 2001: \(10 + 20 + 23 + 30 + 41 = 124\) lakhs
– 2002: \(60 + 30 + 70 + 10 + 20 = 190\) lakhs
– 2003: \(5 + 50 + 40 + 20 + 10 = 125\) lakhs
Answer: The maximum production by all companies together was in the year 2002 .
b) Production of B & C together in year 2000 is what percent of Production by D and E in year 2003?
Production of B & C in 2000: \(20 + 40 = 60\) lakhs
Production of D & E in 2003: \(20 + 10 = 30\) lakhs
Percentage: \(\frac{60}{30} \times 100\% = 200\%\)
Answer: The production of B & C together in year 2000 is 200% of the production by D and E in year 2003.
c) What is the ratio of production by A & D in 2001 to the Production by B & E in 2003?
Production by A & D in 2001: \(10 + 30 = 40\) lakhs
Production by B & E in 2003: \(50 + 10 = 60\) lakhs
Ratio: \(40:60 = 2:3\)
Answer: The ratio of production by A & D in 2001 to the production by B & E in 2003 is 2:3 .
d) If the profit generated on selling one product produced by A is Rs. 4.5, then find the total profit earned on selling all the products of A in all years together.
Total products of A in all years: \(35 + 10 + 60 + 5 = 110\) lakhs
Total profit: \(110 \times 10^5 \times 4.5 = 49,50,00,000\) Rs.
Answer: The total profit earned on selling all the products of A in all years together is Rs. 49.5 crores .