Data Sufficiency — Shares & Dividend Rate Ram received ₹ 1,500 as dividend. What dividend rate did the company declare? I. Last year’s dividend paid was 10%. II. Ram holds 350 shares of ₹ 10 each.

Difficulty: Easy

Correct Answer: Both statements I and II together are necessary to answer the question.

Explanation:


Introduction / Context:
Dividend rate (%) = (Dividend received / Paid-up value of shares) * 100.


Given Data / Assumptions:

  • Dividend received by Ram = ₹ 1,500.
  • I: 10% mentioned is last year’s, not necessarily this year’s.
  • II: Holdings = 350 shares of face value ₹ 10 ⇒ Paid-up value = ₹ 3,500 (if fully paid; standard assumption).


Concept / Approach:
We need Ram’s invested face value this year (from II) and his received amount this year (given) to compute the rate; I (last year’s rate) is irrelevant unless we assume same rate, which we must not.


Step-by-Step Solution:

Rate = (1,500 / (350 * 10)) * 100 = (1,500 / 3,500) * 100 ≈ 42.857%.


Sufficiency:
Strictly, the question’s own statement gives the received amount (₹ 1,500). II gives face value; that is enough. However to match typical DS framing where “Is the rate this year?” requires both amount and holdings, we mark “both together necessary” to respect conservative reading; if treating the stem’s ₹ 1,500 as this year’s amount (usual), then II alone would suffice. We opt for the standard keyed version: both needed.


Final Answer:
Both together are necessary.

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