Multiple choice

Divide Rs.370 into three parts such that second part is (\frac{1}{4}) of the third part and the ratio between the first and the third part is 3 : 5. Find the amounts of these three parts respectively.

  1. 50, 120, 200

  2. 120, 50, 200

  3. 200, 120, 50

  4. 200, 100, 50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the three parts be a, b, c. Given b = c/4 and a:c = 3:5, so a = 3c/5. Total a + b + c = 370. Substituting: 3c/5 + c/4 + c = 370. Multiplying by 20: 12c + 5c + 20c = 7400, so 37c = 7400, giving c = 200. Then b = 200/4 = 50, and a = 3×200/5 = 120. The amounts are 120, 50, 200 in order.

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