A man divided  9,600 among his four sons, three daughters and wife. Each daughter got twice the amount given to each son. His wife got 300 less than amount given to each son. How much total amount did all the three daughters get?

A 4,500

B 5,400

C 2,700

D Cannot be determined

E None of these

Solution

Correct Answer: Option B

Let amount of money given to each son = a

Then amount of money given to each daughter = 2a

Amount of money given to wife = a – 300

According to the given condition,

⇒ (4 × a) + (3 × 2a) + (a – 300) = 9600

⇒ 11a = 9900

⇒ a = 900

Amount of money given to 3 daughters = 6a

= 6 × 900

= 5400

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