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Chart-1 givens the percentage shares of all the five cement companies -A, B, C, D and E-in the total quantity of cement sold in country XYZ. Ple Chart-2 givens the percentage shares of all the eleven states-P through Z-in the total quantity of cement sold in the country. The market share of any company in a state is the total quantity of cement sold by the company in that state as a percentage of the total quantity of cement sold in that state Question: In any state, if no company had more than 50% market share, then in at least how many states did company A sell cement?
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Chart-1 givens the percentage shares of all the five cement companies ...
Understanding the Market Shares
In the context of the cement market in country XYZ, we need to analyze the distribution of market shares among companies and states to determine how many states company A sold cement in, given the condition of no company holding more than 50% market share in any state.
Market Share Distribution
- Chart-1 provides the percentage share of five companies (A, B, C, D, and E) in total cement sales.
- Chart-2 shows the percentage share of eleven states (P through Z) in total cement sales.
Key Considerations
- If no company has more than 50% market share in any state, then the combined share of companies in each state must be 100% or less, with no single company dominating.
- Therefore, if company A wants to sell cement in a state, it must have a share that is less than 50%.
Calculating Minimum States for Company A
1. Analysis of Shares:
- If company A's share is X% in the total market (Chart-1), it cannot exceed 50% in any state.
2. Distribution of States:
- Given that there are 11 states and each has a varied percentage share of total sales (Chart-2), company A’s presence is contingent on the states’ market share distributions.
3. Conclusion:
- Assuming company A has a reasonable share across the states, it’s feasible for company A to sell in all states provided its share remains below 50%.
- Therefore, in at least 6 states, company A can comfortably operate while adhering to the market share limit.
Final Note
Company A's ability to sell cement significantly depends on the market dynamics of each state, but given the parameters, it is clear that company A can establish a presence in at least 6 states without exceeding the 50% market share threshold.
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Chart-1 givens the percentage shares of all the five cement companies -A, B, C, D and E-in the total quantity of cement sold in country XYZ. Ple Chart-2 givens the percentage shares of all the eleven states-P through Z-in the total quantity of cement sold in the country. The market share of any company in a state is the total quantity of cement sold by the company in that state as a percentage of the total quantity of cement sold in that state Question: In any state, if no company had more than 50% market share, then in at least how many states did company A sell cement?
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