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



User Alex Fung
by
2.5k points

2 Answers

30 votes
30 votes

Step-by-step explanation:

The cost price of cow =Rs80

User Mczepiel
by
3.4k points
14 votes
14 votes

Answer:

Step-by-step explanation:

☼︎Answer:

The cost price of cow = Rs.80

Step-by-step 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 + (x * 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

User Werenskjold
by
3.2k points