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
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 .
**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 .