Question

The number of pens sold by shopkeeper Y in the year 2020 is 25% more than the number of pens sold by him in the year 2019 and the number of pens sold by shopkeeper Z in the year 2019 is 20% less than those sold by him in the year 2020. Find the total number of pens sold by the shopkeepers X and Z in the year 2015.

• A. 1,15,000
• B. 1,00,000
• C. 1,30,000
• D. 1,12,000

Hint:

In data interpretation, always check if the data required to answer the question is actually present in the provided charts, tables, or text. Do not assume trends or extrapolate data beyond the given range unless the question specifically instructs you to do so.

Answer 1

The Correct Option is A

Step 1: Relation between Y in 2019 and 2020.

Given: \[ Y_{2020} = 1.25 \times Y_{2019} \] From the graph, \(Y_{2020} = 75,000\). \[ Y_{2019} = \frac{75,000}{1.25} = 60,000 \]

Step 2: Relation between Z in 2019 and 2020.

Given: \[ Z_{2019} = 0.8 \times Z_{2020} \] From the graph, \(Z_{2020} = 50,000\). \[ Z_{2019} = 0.8 \times 50,000 = 40,000 \]

Step 3: Read values of X and Z in 2015 from the graph.

From the graph: \[ X_{2015} = 70,000, \quad Z_{2015} = 45,000 \]

Step 4: Total pens sold (X + Z in 2015).

\[ \text{Total} = X_{2015} + Z_{2015} = 70,000 + 45,000 = 1,15,000 \]

Final Answer:

\[ \boxed{1,15,000} \]