Nominal stock purchasable for a given cash outlay: How much nominal stock (₹) at 105 can be purchased for ₹1433.25?

Difficulty: Easy

Correct Answer: Rs. 1365

Explanation:


Introduction / Context:
Quoted price at 105 means ₹105 cash is needed for ₹100 nominal. Given a cash budget, we can compute the nominal amount acquired by dividing by 1.05.


Given Data / Assumptions:

  • Cash available = ₹1433.25.
  • Quote = 105 ⇒ Price per ₹100 nominal = ₹105.


Concept / Approach:
Nominal purchased N satisfies: Cash = (105/100) * N = 1.05 * N. Hence N = Cash / 1.05.


Step-by-Step Solution:
N = 1433.25 / 1.05 = ₹1365.


Verification / Alternative check:
Check: 1365 * 1.05 = 1433.25. Multiplication confirms exactness.


Why Other Options Are Wrong:

  • Values other than ₹1365 fail the precise division by 1.05.


Common Pitfalls:

  • Treating 105 as a rupee amount for ₹1 nominal instead of per ₹100 nominal; always convert to a multiplier 1.05.


Final Answer:
Rs. 1365

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