Question

A sum of Rs.10600 is to be divided among 6 brothers, 5 sisters and 3 aunts. If each sister receives four times as much as each aunt and each brother receives five times as much as each aunt. How much does each sister receive?

A Rs.900 Correct Answer Incorrect Answer
B Rs.1000 Correct Answer Incorrect Answer
C Rs.1100 Correct Answer Incorrect Answer
D Rs.800 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let each aunt receives Rs.x Brothers : Sisters : Aunts = 5x : 4x : x 6 brothers : 5 sisters : 3 aunts = 30x : 20x : 3x According to the question, => 30x + 20x + 3x = 10600 => 53x = 10600 => x = Rs. 200 Each sister receives = 4 × 200 = Rs. 800

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