Total purchase cost with discount and per-share brokerage Find the total cost of buying 96 shares of face value Rs. 10 each at a 3/4 (Rs. 0.75) discount, when brokerage is Rs. 0.25 per share.

Difficulty: Easy

Correct Answer: Rs. 912

Explanation:


Introduction / Context:
Equity purchase questions often include discounts (below face value) and fixed per-share brokerage. The effective purchase price per share is the quoted price plus brokerage. Multiplying by the number of shares gives the total outlay.


Given Data / Assumptions:

  • Face value per share = Rs. 10.
  • Discount = Rs. 0.75 (three-fourths of a rupee) per share ⇒ quoted price = Rs. 10 − Rs. 0.75 = Rs. 9.25.
  • Brokerage = Rs. 0.25 per share (flat).
  • Quantity = 96 shares.


Concept / Approach:
Total cost = (Quoted price + Brokerage per share) * Number of shares. Note that brokerage here is not a percentage but a fixed rupee amount per share, so add directly per share before multiplying by quantity.


Step-by-Step Solution:
Quoted price per share = 10 − 0.75 = Rs. 9.25.Add brokerage per share = 9.25 + 0.25 = Rs. 9.50.Total cost = 9.50 * 96 = Rs. 912.


Verification / Alternative check:
Compute 9.5 * 100 = 950, then subtract 9.5 * 4 = 38 to correct for 96 shares: 950 − 38 = 912. Matches the earlier multiplication.


Why Other Options Are Wrong:
Rs. 812 and Rs. 712 ignore part of the brokerage or discount arithmetic; Rs. 900 and Rs. 960 reflect common rounding or quantity mistakes.


Common Pitfalls:
Forgetting that discount reduces the quoted price below face value, and that brokerage increases cost. Also, mixing up per-share brokerage with percentage brokerage leads to errors.


Final Answer:
Rs. 912

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