Shares – Purchase cost with premium and brokerage per share Find the purchase cost of 66 shares of Rs. 35 face value each bought at Rs. 10 premium (market price Rs. 45), with brokerage 1% per share applied on the market price.

Difficulty: Medium

Correct Answer: Rs. 2999.70

Explanation:


Introduction / Context:
This asks for the total cash outlay for a fixed number of shares when the share trades at a stated premium over face value, and brokerage is charged per share. We compute per-share cost and then multiply by the number of shares.



Given Data / Assumptions:

  • No. of shares = 66
  • Face value per share = Rs. 35
  • Premium = Rs. 10 per share ⇒ market price = Rs. 45
  • Brokerage = 1% per share on the market price


Concept / Approach:
Per-share effective cost = market price + brokerage% of market price. Total cost is per-share cost times the number of shares.



Step-by-Step Solution:
Brokerage per share = 1% of 45 = Rs. 0.45Effective per-share cost = 45 + 0.45 = Rs. 45.45Total purchase cost = 66 * 45.45 = Rs. 2999.70



Verification / Alternative check:
Rough check: 66*45 ≈ 2970, plus 66*0.45 ≈ 29.7 → total ≈ 2999.7, matching.



Why Other Options Are Wrong:
Rs. 3036 and Rs. 3063 assume different brokerage bases; Rs. 3360 and Rs. 3630 are too high for the given inputs.



Common Pitfalls:
Misreading “Rs. 10 premium” as 10% instead of an absolute Rs. 10; or applying brokerage on face value instead of market price.



Final Answer:
Rs. 2999.70

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