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Divide Rs. 370 into three parts such that second part is 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.

A50, 120, 200

B120, 50, 200

C200, 120, 50

D200, 100, 50

Answer:

B. 120, 50, 200

Read Explanation:

first and third parts be 3x and 5x. Second part = 1/4 of third part = (1/4) × 5x = 5x/4 3x + (5x/4) + 5x = 370 (12x + 5x + 20x)/4 = 370 37x/4 = 370 x = (370 × 4)/37 x = 10 × 4 = 40 First part = 3x =3 × 40=120 Second part = 5x/4 =5 × 40/4=50 Third part = 5x =5 × 40=200


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