A sum of money is to be divided among three sons in such a way that the first son gets 25% of the whole, the second 40% of the remainder and the third son the rest. If the 3rd son gets Rs. 1,500 more than the 2nd son, what would be the total sum divided?
Explanation:
Let x be the sum to be shared
1st son gets : 0.25x
Remaining amount = x - 0.25x = 0.75x
2nd son gets : 0.4 × 0.75x = 0.3x
3rd son gets : x – 0.25x – 0.3x = 0.45x
Now, third son gets Rs. 1,500 more than the 2nd son.
⇒ 0.45x – 0.3x = 1500
⇒ x = 10,000
∴ 1st son’s share = Rs. 2500
2nd son’s share = Rs. 3000
3rd son’s share = Rs. 4500
Hence, option (b).
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