A man bought a horse and cart for rs 3000. He sold the horse at gain of 20% and cart at loss of 10%, thereby gaining 2% on the whole.find the cost of the horse

Answers (1)

Let the cost price of the horse be H then cost price of the cart =(3000-H)

ATQ

20 = (S.P. of hourse - H)x100/H

S.P. of hourse = 120xH/100

10 = (3000-H - S.P. of cart)x100 / (3000-H)

S.P. of cart = 90(3000-H)/100

Total S.P. = 120xH/100 +  90(3000-H)/100

               = (120 H + 270000 - 90H )/100

Total gain % = (Total S.P. - Cost price )x100/ cost price

                 2   =( (120 H + 270000 - 90H )/100 - 3000 )x100/3000 

        2x3000 = 120 H + 270000 - 90 H - 300000

 30 H = 6000 - 270000 + 300000

          = 36000

H = 36000/30

   = 1200

Cost price of the hourse = Rs 1200

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