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A person sold a horse at a gain of . Had he bought it for less and sold it for less, he would have made a profit of . The cost price of the horse was :

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

Let the initial cost price () of the horse be .
**Step 1: Determine initial selling price ()**
The horse is sold at a gain of :



**Step 2: Determine new cost price ()**
Had he bought it for less:



**Step 3: Determine new selling price ()**
Had he sold it for less:



**Step 4: Set up the equation using the new profit percentage ()**







Now, calculate :



Substitute this back into the equation:









Thus, the original cost price of the horse was .

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A person sold a horse at a gain of . Had he bought it for less and sold it for less, he would have made a profit of . The cost price of the horse was :
A
B
C
D

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