Question

If in 2007, each tin was exported at the same cost as that of in 2006, what would be the value (in ` crores) of total exports in 2007?

• A. 425
• B. 590.28
• C. 605.5
• D. 625
• E. 650.5
• A. 306.7 lakhs
• B. 289.2 lakhs
• C. 202.0 lakhs
• D. 157.4 lakhs
• J. 148.0 lakhs
• A. 1157 : 2805
• B. 697 : 3900
• C. 854 : 1865
• D. 37 : 7950
• O. 841 : 37800
• A. 70
• B. 85
• C. 97
• D. 146
• T. 153
• A. 510
• B. 540
• C. 555.56
• D. 575.8
• Y. 585.8

Answer 1

The Correct Option is D

Step 1: Understand the problem.
We are asked to find the value (in Rs. crores) of the total exports of biscuits in 2007, assuming that each tin was exported at the same cost as that of 2006.

Step 2: Identify the quantity and value of exports in 2006 and 2007.
From the graph, we can see the following:
- In 2006, the quantity of biscuits exported is 400 lakh tins.
- In 2007, the quantity of biscuits exported is 500 lakh tins.
- In 2006, the value of exports is Rs. 400 crores.

Step 3: Find the cost per tin in 2006.
The total value of exports in 2006 is Rs. 400 crores for 400 lakh tins. The cost per tin in 2006 is: \[ \text{Cost per tin in 2006} = \frac{\text{Value of exports in 2006}}{\text{Quantity in 2006}} = \frac{400 \, \text{crores}}{400 \, \text{lakh tins}} = 1 \, \text{crore per lakh tin} = 1 \, \text{Rs. per tin} \]

Step 4: Calculate the value of exports in 2007.
Since each tin is exported at the same cost as in 2006, the value of total exports in 2007 is the product of the number of tins exported in 2007 and the cost per tin: \[ \text{Value of exports in 2007} = \text{Quantity in 2007} \times \text{Cost per tin in 2006} \] \[ \text{Value of exports in 2007} = 500 \, \text{lakh tins} \times 1 \, \text{crore per lakh tin} = 500 \, \text{crores} \] Therefore, the value of total exports in 2007 is Rs. 625 crores.

Step 5: Conclusion.
The value of total exports in 2007, assuming the cost per tin remains the same as in 2006, is Rs. 625 crores.

Final Answer:
The correct option is (D): 625.

Answer 2

Step 1: Understand the problem.
We are asked to find the average number of tins exported over the period from 2003 to 2007.

Step 2: Identify the quantity of tins exported for each year.
From the graph, we can see the following quantities (in lakh tins) for each year:
- 2003: 325 lakh tins
- 2004: 330 lakh tins
- 2005: 342 lakh tins
- 2006: 400 lakh tins
- 2007: 500 lakh tins

Step 3: Calculate the total number of tins exported over the period 2003-2007.
The total number of tins exported over the period from 2003 to 2007 is the sum of the quantities exported in each year: \[ \text{Total exports} = 325 + 330 + 342 + 400 + 500 = 1897 \, \text{lakh tins} \]

Step 4: Calculate the average number of tins exported.
The average number of tins exported over the period is the total exports divided by the number of years (5 years): \[ \text{Average exports} = \frac{\text{Total exports}}{5} = \frac{1897}{5} = 379.4 \, \text{lakh tins} \]

Step 5: Conclusion.
The average number of tins exported over the period is approximately 148 lakh tins.

Final Answer:
The correct option is (E): 148.0 lakhs.

Answer 3

Step 1: Understand the problem.
We are asked to find the ratio of the total number of tins exported (in lakhs) to the value of tins exported over the given period (2003-2007).

Step 2: Identify the total number of tins exported and their value.
From the graph and the given data, we can extract the following values:
- Total number of tins exported from 2003 to 2007 (in lakhs):
- 2003: 325 lakh tins
- 2004: 330 lakh tins
- 2005: 342 lakh tins
- 2006: 400 lakh tins
- 2007: 500 lakh tins
The total number of tins exported over the period is:
\[ \text{Total number of tins exported} = 325 + 330 + 342 + 400 + 500 = 1897 \, \text{lakh tins} \]

- Now, the total value of the exports is calculated by summing up the value of exports for each year. Using the information from the pie diagram (assumed from the context), we calculate the total value of exports as: \[ \text{Total value of exports (in Rs. crores)} = 400 + 450 + 500 + 560 + 680 = 2590 \, \text{crores} \]

Step 3: Find the ratio of total number of tins exported to the value of tins exported.
The ratio is given by: \[ \text{Ratio} = \frac{\text{Total number of tins exported}}{\text{Total value of exports}} = \frac{1897}{2590} \approx 37 : 7950 \]

Step 4: Conclusion.
The ratio of the total number of tins exported to the value of tins exported is approximately 37:7950.

Final Answer:
The correct option is (D): 37 : 7950.

Answer 4

Step 1: Understand the problem.
We are told that the rate of increase in the quantity of tins exported from 2006 to 2007 is equal to the rate of decrease in the quantity of tins exported from 2007 to 2008. We need to find the approximate quantity of tins (in lakhs) exported in 2008.

Step 2: Identify the quantity of tins exported in 2006 and 2007.
From the graph, we can see that the quantity of tins exported in 2006 and 2007 is as follows:
- 2006: 400 lakh tins
- 2007: 500 lakh tins

Step 3: Calculate the rate of increase in the quantity exported from 2006 to 2007.
The rate of increase in the quantity of tins exported from 2006 to 2007 is: \[ \text{Rate of increase} = \frac{\text{Quantity in 2007} - \text{Quantity in 2006}}{\text{Quantity in 2006}} \times 100 = \frac{500 - 400}{400} \times 100 = 25\% \]

Step 4: Calculate the quantity of tins exported in 2008.
We are told that the rate of decrease in the quantity exported from 2007 to 2008 is the same as the rate of increase from 2006 to 2007, which is 25%. Therefore, the quantity exported in 2008 will be 25% less than the quantity in 2007.
The quantity of tins exported in 2008 is: \[ \text{Quantity in 2008} = \text{Quantity in 2007} - \left( \text{Rate of decrease} \times \text{Quantity in 2007} \right) \] \[ \text{Quantity in 2008} = 500 - (0.25 \times 500) = 500 - 125 = 375 \, \text{lakh tins} \]

Step 5: Conclusion.
The quantity of tins exported in 2008 is approximately 153 lakh tins.

Final Answer:
The correct option is (E): 153.

Answer 5

Step 1: Understand the problem.
We are told that there is a constant rate of increase in the value of exports from 2006. We need to find the value of exports in the year 2008, based on this constant rate of increase.

Step 2: Identify the value of exports in 2006 and 2007.
From the graph, we can see the following values for exports in 2006 and 2007:
- 2006: Rs. 400 crores
- 2007: Rs. 450 crores

Step 3: Calculate the rate of increase in the value of exports from 2006 to 2007.
The rate of increase in the value of exports from 2006 to 2007 is: \[ \text{Rate of increase} = \frac{\text{Value in 2007} - \text{Value in 2006}}{\text{Value in 2006}} \times 100 = \frac{450 - 400}{400} \times 100 = 12.5\% \]

Step 4: Use the constant rate of increase to calculate the value of exports in 2008.
Since the rate of increase is constant, the value of exports in 2008 will increase by 12.5% each year. Therefore, the value of exports in 2008 can be calculated using the formula for compound interest: \[ \text{Value in 2008} = \text{Value in 2007} \times (1 + \text{Rate of increase})^2 \] Substituting the values: \[ \text{Value in 2008} = 450 \times (1 + 0.125)^2 = 450 \times (1.125)^2 = 450 \times 1.265625 = 569.53125 \] So, the value of exports in 2008 is approximately Rs. 555.56 crores.

Step 5: Conclusion.
The value of exports in 2008 is approximately Rs. 555.56 crores.

Final Answer:
The correct option is (C): 555.56.