- At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25 % and the camel at a loss of 20 %. Ifhe sold both the animals at the same price, then the cost price of the cheaper animal was R
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20,000
Step-by-step explanation:
We know profit % = (SP - CP) * 100/ CP
Therefore CP * (100 + P%) / 100 = SP
Loss% = (CP - SP) *100 / CP
Therefore CP * (100 - Loss%) / 100 = SP
Let CP of Horse = x, therefore CP of the Camel = 51250 - x
SP of Horse = x * 125 / 100 = 1.25x
SP of Camel = (51250 - x) * 80 / 100 = 0.8(51250 - x) = 41000 - 0.8x
Since SP of Horse = SP of Camel
Therefore, 1.25x = 41000 - 0.8x
Therefore 2.05x = 41000
x = 20000
CP of Horse = 20,000 and CP of Camel = 51250 - 20000 = 31,250
CP of the cheaper Animal = 20,000
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