Question

A sum of Rs.8200 is to be divided among 6 brothers, 5 sisters and 2 aunts. If each sister receives thrice as much as each aunt and each brother receives four times as much as each aunt. How much does each sister receive?

A Rs. 800 Correct Answer Incorrect Answer
B Rs. 600 Correct Answer Incorrect Answer
C Rs. 1000 Correct Answer Incorrect Answer
D Rs. 1200 Correct Answer Incorrect Answer
E Rs. 900 Correct Answer Incorrect Answer

Solution

Let each aunt receives Rs.x Brothers: Sisters: Aunts = 4x: 3x: x 6 brothers: 5 sisters: 2 aunts = 24x: 15x: 2x According to the question, => 24x + 15x + 2x = 8200 => 41x = 8200 => x = Rs. 200 Each sister receives = 3×200 = Rs. 600

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