Cash received from sale at a premium quotation How much money is obtained from selling Rs. 1700 nominal stock at 106 1/4% (i.e., 106.25%)?

Difficulty: Easy

Correct Answer: Rs. 1806.25

Explanation:


Introduction / Context:
This problem checks your ability to convert a quoted premium (above par) into actual cash received for a given nominal (face) amount of stock. The quotation 106 1/4% means Rs. 106.25 for each Rs. 100 nominal sold.


Given Data / Assumptions:

  • Nominal (face value) sold = Rs. 1700.
  • Quoted price = 106.25% of par.
  • No brokerage or taxes are considered.


Concept / Approach:
Cash realized = Nominal * (Quoted price / 100). A premium quotation (>100%) increases cash above nominal; a discount (<100%) would reduce it.


Step-by-Step Solution:
Cash = 1700 * 106.25 / 100.Compute 106.25/100 = 1.0625.Cash = 1700 * 1.0625 = Rs. 1806.25.


Verification / Alternative check:
Since 6.25% of 1700 is 106.25, add this to 1700: 1700 + 106.25 = 1806.25. Matches the direct multiplication result.


Why Other Options Are Wrong:
Rs. 1808.75 and Rs. 1765.00 are off the exact 6.25% premium; Rs. 1608.25 and Rs. 1706.25 reflect misapplied percentages.


Common Pitfalls:
Misreading the mixed fraction (106 1/4%) or applying the percentage to the wrong base. Always apply the quotation percentage to the nominal amount.


Final Answer:
Rs. 1806.25

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