A man bought a horse and a carriage for 30,000

A man bought a horse and a carriage for 30,000. He sold the horse at a profit of 20% and the carriage at a loss of 10%. Finally he gains 2% on the whole. The cost of the horse is
(1)   Rs. 9,000
(2)   Rs. 10,000
(3)   Rs. 12,000
(4)   Rs. 15,000

Anurag Mishra Professor Asked on 19th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (3) Rs.12,000

    Solution:-
    The cost price of a horse and a carriage = Rs.30,000
    Profit 2%
    Then, Profit = 30,000 x 2/100
    = Rs.600

    Let the cost price of horse be Rs.X
    Then, price of a carriage = 30,000 – X

    He sold the horse at a profit of 20% and the carriage at a loss of 10%.
    Then, X x 120/100 + (30,000 – X) x 90/100 = 30,000 + 600
    120 X/100 + 30,000 x 90/100 – 90 X/100 = 30,000 + 600
    30 X/100 + 27,000 = 30,600
    3 X/10 = 30,600 – 27,000
    3 X/10 = 3,600
    3 X = 3,600 x 10
    X = 36,000/3
    X = 12,000

    Then, the cost of the horse is Rs.12,000.

    Hence, the correct answer is option (3) Rs.12,000.

    Anurag Mishra Professor Answered on 20th April 2016.
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