A sells a horse to B for Rs 4860 at a loss of 19%. B then sells it to C at the price that would have given A a 17% profit on A’s own cost. Compute B’s gain in rupees.

Difficulty: Medium

Correct Answer: Rs. 2160

Explanation:


Introduction:
This chain transaction compares B’s purchase price with a target price pegged to A’s cost. Converting percentage statements back to A’s cost price is the key step before computing B’s rupee gain.


Given Data / Assumptions:

  • A sells to B for Rs 4860 at 19% loss.
  • Target price for the next sale is the price that would have given A a 17% profit on A’s cost.


Concept / Approach:
First derive A’s cost from the 19% loss sale. Then scale A’s cost by 1.17 to get the target price at which B sells to C. B’s gain equals that target price minus B’s purchase price of 4860.


Step-by-Step Solution:
Let A’s cost = X. Loss 19% implies 4860 = 0.81XX = 4860 / 0.81 = 6000Price giving A a 17% profit = 1.17 * 6000 = 7020B’s gain = 7020 - 4860 = 2160


Verification / Alternative check:
Compute percentages directly: 19% of 6000 is 1140, so A’s selling price at loss is 6000 - 1140 = 4860. The 17% profit price is 6000 + 1020 = 7020. Difference remains 2160.


Why Other Options Are Wrong:

  • Rs. 2610 and Rs. 2260: arithmetic deviations from the correct target price.
  • Rs. 1260: arises from mixing percentage bases.


Common Pitfalls:

  • Using B’s buying price as the base for the 17% profit rather than A’s cost, as stated.


Final Answer:
Rs. 2160

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