Question : A man has three sons, two daughters and a wife. They divided a sum of Rs. 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received Rs. 600 less than each son. What is the total amount (in Rs.) received by the three sons together?
Option 1: 2800
Option 2: 3600
Option 3: 5600
Option 4: 8400
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Correct Answer: 8400
Solution : Let the amount received by each son be Rs. $x$. The amount received by each daughter = 1.5$x$ The amount received by wife = $x$ – 600 Total amount = Rs. 19000 According to the question, $3x + 2(1.5x) + x- 600 = 19000$ ⇒$ 7x =19600$ ⇒ $x = 2800$ Amount received by the three sons together = 3 × (2800) = Rs. 8400 Hence, the correct answer is 8400.
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