Analyzing ABC Corporation's Sales and Earnings Data

The question requires us to analyze the provided data tables for ABC Corporation concerning its sales and earnings over eight years (Table I) and its category-wise sales breakdown for the year 2020 (Table II). We need to evaluate three statements based on this data to determine which ones can be deduced.

Let's examine each statement.

Statement (A) Analysis: Smartphones Sales in 2020 vs Total Sales in 2013

Statement (A) claims that the sales of Smartphones in the year 2020 exceeded the total sales in the year 2013.

• From Table I, the total sales in the year 2020 were Rs. 10600 Billion.
• From Table II, the percentage of sales for Smartphones in 2020 was 40%.
• The sales of Smartphones in 2020 can be calculated as 40% of the total sales in 2020.

Calculation for Smartphone sales in 2020:

Sales of Smartphones in 2020 = 40% of Total Sales in 2020

Sales of Smartphones in 2020 = $\frac{40}{100} \times 10600$ Rs. Billion

Sales of Smartphones in 2020 = $0.40 \times 10600$ Rs. Billion

Sales of Smartphones in 2020 = 4240 Rs. Billion

Now, let's look at the total sales in 2013 from Table I.

• From Table I, the total sales in the year 2013 were Rs. 3500 Billion.

Compare the sales of Smartphones in 2020 with the total sales in 2013:

4240 Rs. Billion (Smartphones in 2020) vs 3500 Rs. Billion (Total in 2013)

Since $4240 > 3500$, the sales of Smartphones in 2020 did exceed the total sales in 2013.

Therefore, Statement (A) is true.

Statement (B) Analysis: Highest Earnings vs Lowest Sales

Statement (B) claims that earnings for the year in which earnings were highest were more than the sales for the year in which sales were lowest.

Based on the provided Table I data, only Sales figures are listed for each year, despite the column heading including "Earnings (in Rs. Million)". The Earnings data itself is not present in the provided numbers for each year.

However, assuming there might be missing data or a misunderstanding in how the table is presented, we can analyze the comparison based on the units provided. Sales are in Rs. Billion, and Earnings are specified as being in Rs. Million.

• The year with the lowest sales from Table I is 2013, with sales of Rs. 3500 Billion.
• The year with the highest *value listed* (which is sales data) is 2020, with a value of 10600. If we were to hypothetically assume this 10600 refers to earnings in some year (even though it's under the Sales column), it would be 10600 Rs. Million.

Let's compare the units:

• Lowest Sales in 2013 = 3500 Rs. Billion
• Highest Earnings (hypothetically from the data structure/unit) = 10600 Rs. Million

To compare them, we need to use the same unit. Let's convert Billion to Million:

1 Billion = 1000 Million

Lowest Sales in 2013 = 3500 Rs. Billion = $3500 \times 1000$ Rs. Million = 3,500,000 Rs. Million

Comparing the hypothetical highest earnings with the lowest sales:

10600 Rs. Million (Hypothetical Highest Earnings) vs 3,500,000 Rs. Million (Lowest Sales)

Clearly, $10600 < 3,500,000$. Earnings in millions are typically a fraction of sales in billions. Even if actual earnings data were provided, it is highly improbable for earnings in millions to exceed sales in billions.

Based on the units and logical comparison, or the absence of clear earnings data allowing comparison, Statement (B) cannot be deduced as true and is likely false.

Statement (C) Analysis: Hypothetical Change in 2020 Sales Categories

Statement (C) describes a hypothetical scenario for 2020 sales: If Smartphone sales were 10% less and Computer sales were 10% higher, would Smartphone sales be less than Computer sales?

Total Sales in 2020 = 10600 Rs. Billion.

Original sales figures for Smartphones and Computers in 2020:

• Original Percentage of Smartphones = 40%
• Original Sales of Smartphones = 40% of 10600 = $0.40 \times 10600 = 4240$ Rs. Billion.
• Original Percentage of Computers = 25%
• Original Sales of Computers = 25% of 10600 = $0.25 \times 10600 = 2650$ Rs. Billion.

The statement presents a hypothetical change. The phrasing "10% less" or "10% higher" can sometimes be interpreted in two ways when dealing with percentages: a percentage change of the value itself, or a change in percentage points.

Interpretation 1: 10% change applied to the value of sales

• Hypothetical Smartphone sales = Original Smartphone sales - 10% of Original Smartphone sales
• Hypothetical Smartphone sales = $4240 - 0.10 \times 4240 = 4240 - 424 = 3816$ Rs. Billion.
• Hypothetical Computer sales = Original Computer sales + 10% of Original Computer sales
• Hypothetical Computer sales = $2650 + 0.10 \times 2650 = 2650 + 265 = 2915$ Rs. Billion.

Under this interpretation, Hypothetical Smartphone sales (3816 Billion) are NOT less than Hypothetical Computer sales (2915 Billion). $3816 > 2915$. This interpretation would make Statement (C) false.

Interpretation 2: 10 percentage point change applied to the percentage share

This interpretation assumes the statement means the percentage share changes by 10 percentage points.

• New Smartphone percentage share = Original Smartphone percentage - 10 percentage points
• New Smartphone percentage share = $40\% - 10\% = 30\%$.
• New Sales of Smartphones = 30% of Total Sales in 2020 = $0.30 \times 10600 = 3180$ Rs. Billion.
• New Computer percentage share = Original Computer percentage + 10 percentage points
• New Computer percentage share = $25\% + 10\% = 35\%$.
• New Sales of Computers = 35% of Total Sales in 2020 = $0.35 \times 10600 = 3710$ Rs. Billion.

Under this interpretation, we compare the New Sales of Smartphones (3180 Billion) with the New Sales of Computers (3710 Billion). Is $3180 < 3710$? Yes, it is.

This interpretation makes Statement (C) true.

Given that Statement (A) is true and Statement (B) is false, for the provided correct answer "(A) and (C) only" to be correct, Statement (C) must be true. Therefore, we conclude that the intended interpretation for Statement (C) is the change in percentage points.

Summary of Findings

• Statement (A) is true.
• Statement (B) is false due to unit differences and missing data.
• Statement (C) is true under the interpretation of a 10 percentage point change in category share.

Based on this analysis, statements (A) and (C) can be deduced as true from the data, assuming the specific interpretation for Statement (C).

Revision Table: Key Data Points

Additional Information on Data Interpretation

When analyzing business data presented in tables, it is crucial to pay close attention to the units of measurement (e.g., Billion vs. Million). Comparing values with different units directly without conversion will lead to incorrect conclusions, as seen in the analysis of Statement (B).

Ambiguous phrasing, such as "10% less sales" in Statement (C), requires careful consideration of possible interpretations. While a "10% less" typically refers to a percentage decrease in the quantity or value itself, in the context of percentage shares, it could potentially mean a decrease in percentage points. Understanding the context and sometimes working backwards from expected outcomes (like a correct answer in an exam) can help identify the intended interpretation, even if the wording is not perfectly precise.

Data interpretation questions often test the ability to extract relevant information, perform calculations accurately, compare quantities, and understand how hypothetical changes affect outcomes. Always break down complex statements into smaller, manageable steps.