Multiple choice

A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?

  1. Rs.900

  2. Rs.860

  3. Rs.850

  4. . Rs.875

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

Let CP = x. Loss = x - 800. Gain = 980 - x. Given 980 - x = 2(x - 800). 980 - x = 2x - 1600. 3x = 2580. x = 860.

AI explanation

Let the cost price be x and the former loss be L, so the first scenario gives x minus L equals 800. The second scenario states that selling for 980 results in a gain of double the former loss, meaning x plus 2L equals 980. Solving the system of equations by subtracting the first from the second gives 3L equals 180, so L is 60, and substituting this back reveals the cost price x is 860.