a man bought a horse and a carriage for 3000 is sold the horse at a gain of 20% and the carriage at a loss of 10% thereby gaining 2% on the world the cost of the horses

The cost of horse is 1200 and carrier is 1800.

Take the cost of horse and carriage as H and C respectively. So H+C=3000 2% of 3000=60 (given overall profit) Profit of horse sale = 20% of H=0.2H Loss of cart sale =10% of C=0.1C so 0.2H-0.1C=60. Multiply this equation by 10 2H-C=600 H+C=3000 Adding both equations, 3H=3600 that is H=1200

Given: eq1) H + C = 3000 eq2) 1.2 H + 0.9 C = 3060 so Profit component is, 0.2 H - 0.1 C = 60 which is 0.2 H = 60 + 0.1 C eq3) multiply by 6 to make it equal to 10, 2H = 600 + 1 C multiplying eq1 with 2, 2H + 2 C = 6000 600 + 1 C + 2 C = 6000 3 C = 5400 C = 1800 with eq1) H = 1200