At a village trade fair a man buys a horse and a camel together for Rs 51 250 He sold the horse at a...........

Quantitative Aptitude (CGL) Profit and loss

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 %. If he sold both the animals at the same price, then the cost price of the cheaper animal was Rs ____________.

6600

7500

25000

20000

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Explanation:

According to the question :
He sold the horse at a profit of 25% and the camel at a loss of 20%.
Also, he sold both the animals at same price.
= > Selling price of horse = Selling price of camel
= > Cost price of horse + Profit = Cost price of camel + horse
= > Rs a + 25% of Rs a = Rs ( 51250 - a ) - 20% of Rs ( 51,250 - a )
= > Rs a + ( 25 / 100 ) of Rs a = Rs ( 51,250 - a ) - ( 20 / 100 ) of Rs ( 51,250 - a )
= > Rs a + Rs a / 4 = Rs ( 51,250 - a ) - Rs ( 51,250 - a ) / 5
= > Rs 5a / 4 = Rs 4( 51,250 - a ) / 5
= > Rs a = Rs { 4( 51,250 - a ) x 4 } / ( 5 x 5 )
= > Rs a = Rs ( 51250 - a ) ( 16 / 25 )
= > 25a = ( 51,250 - a ) 16
= > 25a = ( 51,250 x 16 ) - 16a
= > 41a = ( 51,250 x 16 )
= > a = ( 51,250 x 16 ) / 41
= > a = 20,000.