Cows

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Mon Feb 08, 2010 10:46 am

Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. If a black cow gives 10 L of milk per day, then how much milk would be given by a brown cow per day under the same conditions.

a) 6 L
b) 8 L
c) 10 L
d) 12 L
e) 16 L

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Source: Beat The GMAT — Problem Solving | Mon Feb 08, 2010 10:46 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Mon Feb 08, 2010 10:48 am

shashank.ism wrote:Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. If a black cow gives 10 L of milk per day, then how much milk would be given by a brown cow per day under the same conditions.

a) 6 L
b) 8 L
c) 10 L
d) 12 L
e) 16 L

Assume a black cow gives ‘x’ L milk per day and a brown

cow gives ‘y’ L milk per day.
⇒ 5(4x + 3y) = 4(3x + 5y)
⇒ 8x = 5y
x/y=5/8
Given that x = 10 L
[spoiler]∴ y = 16 L so E.[/spoiler]

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