Question

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price. Find the cost price.​

Answer 1

Step-by-step explanation:

The cost price of cow =Rs80

Answer 2

Answer:

Step-by-step explanation:

☼︎Answer:

The cost price of cow = Rs.80

Explanation:

☼︎Given :-

• By selling a cow for Rs 144, there is a profit of the same percentage as its cost price.

☼︎To Find:-

• The cost price.

☼︎Let:-

• The cost price of cow = Rs.x

☼︎Solution :-

$\sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}$

Hence: 

The cost price of cow =Rs80