Question
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?Solution
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.
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