Question

Each of the following questions is followed by two statements, I and II. Decide whether the data given in the statements is sufficient to answer the question.

For each rupee in monthly advertising expenditure, KUMAR & Co. experiences a Rs. 6 increase in sales. How much does KUMAR & Co. have to spend on advertising to attain Rs. 1,000,000 in sales revenue for the month?

I. Without advertising, KUMAR & Co. earns Rs. 200,000 sales revenue per month.
II. When KUMAR & Co. spends Rs. 15,000 on advertising, it earns Rs. 290,000 as sales revenue.

• A. If Statement I alone is sufficient to answer the question.
• B. If Statement II alone is sufficient to answer the question.
• C. If Statement I and Statement II together are sufficient, but neither statement alone is sufficient to answer the question.
• D. If either Statement I alone or Statement II alone is sufficient to answer the question.

Hint:

The slope of the sales-advertising line is already given in the question; each statement supplies just enough extra data to fix the line completely.

Answer 1

The Correct Option is D

Step 1: Recognize this as a straight line with known slope.
Treat sales $S$ as a linear function of advertising spend $A$: $S = S_0 + 6A$, where the slope 6 comes straight from the question. Only the intercept $S_0$, sales with no advertising, is missing.

Step 2: Check what Statement I hands us.
Statement I directly states $S_0 = 200{,}000$. With the slope already known, this fixes the line, so we can solve for $A$ when $S = 1{,}000{,}000$:
\[ A = \frac{1{,}000{,}000 - 200{,}000}{6} = \frac{800{,}000}{6} \approx 133{,}333 \]
Statement I alone answers the question.

Step 3: Check what Statement II hands us.
Statement II gives one point on the same line: $(A, S) = (15{,}000, 290{,}000)$. Since the slope is fixed at 6 by the question, one point is enough to find the intercept:
\[ S_0 = 290{,}000 - 6(15{,}000) = 200{,}000 \]
This is the same line as before, so Statement II alone also lets us compute $A$, giving the same value, about 133,333.

Step 4: Decide the sufficiency category.
Both statements, independently, fully determine the same equation. There is no need to combine them, and this is not a sufficient-together-only case.

Final Answer:
Either statement by itself is sufficient to answer the question, so the answer is D. \[ \boxed{D} \]