Multiple choice

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?

  1. 8,250

  2. 6,600

  3. 7,500

  4. 6,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S and G be the cost prices. 1.1S = 0.8G, so G = 1.1S/0.8 = 1.375S. S + 1.375S = 14250, so 2.375S = 14250. S = 6000. G = 8250. The cheaper animal is the sheep at 6000.

AI explanation

Let the cost price of the sheep be S and the goat be G, establishing the first equation S + G = 14250. The selling prices are equal, establishing the second equation 1.10 S = 0.80 G, which rearranges to S divided by G equals 8 divided by 11. Using this ratio, the combined cost 14250 represents 19 parts, meaning each part is 750, making the cost of the sheep 6000 and the goat 8250. The cheaper animal is the sheep with a cost price of Rs. 6000.

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