A man sold two horses for Rs. 18900 at a total price of 5%. He sold one horse…
2025
A man sold two horses for Rs. 18900 at a total price of 5%. He sold one horse at a profit of 10% and another at a loss of 10%. What is the cost price of each horse ?
- A.
Rs. 12500 & Rs. 5500
- B.
Rs. 15000 & Rs. 5450
- C.
Rs. 13500 & Rs. 4500
- D.
Rs. 12000 & Rs. 5000
Attempted by 13 students.
Show answer & explanation
Correct answer: C
Key idea: the total cost price of the two horses equals 18900 × (100/105) = Rs. 18000.
Let the cost price of the first horse be x; then the second horse costs 18000 − x.
First horse sold at 10% profit → selling price = 1.1 × x.
Second horse sold at 10% loss → selling price = 0.9 × (18000 − x).
Total selling price: 1.1x + 0.9(18000 − x) = 18900.
Simplify: 1.1x + 16200 − 0.9x = 18900 ⇒ 0.2x = 2700 ⇒ x = 13500.
Therefore the cost prices are Rs. 13500 and 18000 − 13500 = Rs. 4500.
Answer: Rs. 13500 and Rs. 4500