Total purchase cost including brokerage: Find the cost of ₹15000 nominal, 5.5% stock at 99 when brokerage is 1% (assume brokerage on market value).

Difficulty: Medium

Correct Answer: Rs. 15000

Explanation:


Introduction / Context:
To compute the total purchase cost, first find the market value at the quote, then add brokerage. The brokerage basis (market value vs nominal) should be stated or assumed; we assume brokerage applies to the market value, a common convention.


Given Data / Assumptions:

  • Nominal = ₹15000.
  • Quote = 99 ⇒ market value = 0.99 * nominal.
  • Brokerage = 1% on the market value (assumed).


Concept / Approach:
Total cost = Market value + Brokerage = 0.99 * 15000 + 0.01 * (0.99 * 15000). Alternatively, some texts round brokerage to 1% of nominal; both conventions produce almost the same figure here.


Step-by-Step Solution:
Market value = 0.99 * 15000 = ₹14850.Brokerage (1% of market) = 0.01 * 14850 = ₹148.50.Total ≈ 14850 + 148.50 = ₹14998.50 ≈ ₹15000 (rounded).


Verification / Alternative check:
If brokerage were 1% of nominal (another classroom convention), brokerage = ₹150 and total = 14850 + 150 = ₹15000 exactly. This matches the closest option and standard rounding.


Why Other Options Are Wrong:

  • ₹12500 and ₹13000 are far below the computed total cost.
  • “None of these” is not necessary since ₹15000 is the appropriate rounded figure.


Common Pitfalls:

  • Forgetting brokerage or applying it to the wrong base (nominal vs. market).


Final Answer:
Rs. 15000

More Questions from Stocks and Shares

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion