A man bought a horse and a carriage for Rs. 80,000. He sold the horse at a gain of 10% and the carriage at a loss of 5%. He gained 1% on his whole transaction. What is the cost price of the horse?

Let H be the cost price of the horse and C the cost price of the carriage. H + C = 80000 C=80000-H Horse= 1.10H Carriage= 0.95C Total selling price with 1% gain-   1.01 × 80000 = 80, 800 ATQ- 1.10H + 0.95C = 80, 800 Substitute C = 80000 - H 1.10H + 0.95(80000 - H) = 80, 800 1.10H + 76000 - 0.95H = 80, 800 0.15H =4800 H =4800/0.15 =32000. By Allegation method – Horse                   carriage 110                       95                101 6             :              9 2             :              3 ATQ- 2+3 =80000 1=16000 Then 2 =32000.