Multiple choice

A person bought a horse and a carriage for Rs. 20000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. What was the cost price of the horse? एक आदमी ने एक घोड़ा और गाड़ी 20000 रू. में खरीदा। बाद में वह घोड़े को 20% लाभ पर बेचा और गाड़ी को 10% हानि पर बेचा तो उसे पूरे सौदे में 2% का लाभ हुआ, तो घोड़े का क्रय मूल्य क्या था?

  1. Rs. 7200

  2. Rs. 7500

  3. Rs. 8000

  4. Rs. 9000

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let horse price = H, carriage price = C. H + C = 20000. Horse sold at 20% profit: SP = 1.2H. Carriage at 10% loss: SP = 0.9C. Total gain = 2%, so 1.02×20000 = 20400 = 1.2H + 0.9C. Substituting C = 20000 - H: 20400 = 1.2H + 0.9(20000 - H) = 1.2H + 18000 - 0.9H = 0.3H + 18000. So 0.3H = 2400, H = 8000. Verification: Horse = 8000, Carriage = 12000. SP = 9600 + 10800 = 20400, which is 2% of 20000. Options A, B, D don't satisfy the profit equation.