Sachin shares 250 gifts in 4 children. The part of the first child is the same as twice the portion of the second child, thrice the part of the third child, four times the part of the fourth child. How many gifts have come in the second child's part?

Sachin shares 250 gifts in 4 children. The part of the first child is the same as twice the portion of the second child, thrice the part of the third child, four times the part of the fourth child. How many gifts have come in the second child's part? Correct Answer 60

Let number of gifts received by first child be x

⇒ Number of gifts received by second child = x/2

⇒ Number of gifts received by third child = x/3

⇒ Number of gifts received by fourth child = x/4

According to the question

x + x/2 + x/3 + x/4 = 250

⇒ (12x + 6x + 4x + 3x)/12 = 250

⇒ 25x/12 = 250

⇒ x = 250 × 12/25

⇒ x = 120

∴ Total number of gift received by second child = x/2 = 1/2 × 120 = 60

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