A villager buys a goat and a sheep together for Rs. 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price, then what was the cost price of the cheaper animal?

A villager buys a goat and a sheep together for Rs. 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price, then what was the cost price of the cheaper animal? Correct Answer 6000

⇒ Selling price = {Cost price × (1 + Profit %)}/100

Let cost price of sheep and goat be x and y

⇒ x + y = 14250        ----(1)

ATQ,

Selling price of goat = selling price of sheep

⇒ 1.1x = 0.8y

⇒ y = 11x/8

From (1),

⇒ x + 11x/8 = 14250

⇒ x = 6000

⇒ y = (11 × 6000)/8 = 8250

∴ Cheaper animal cost Rs. 6000

Related Questions

A person lives in a far off village which is almost two hours by bus. The villager's neighbour is a very powerful landlord who is trying to occupy the poor villager's land by force. You are the District Magistrate and busy in a meeting called by a local Minister. The villager has come all the way, by bus and on foot, to see you and give an application seeking protection from the powerful landlord. The villager keeps on waiting outside the meeting hall for an hour. You come out of the meeting and are rushing to another meeting. The villager follows you do submit his application. What would you do?