By mistake, instead of dividing ₹ 234 among three persons A, B and C in the…

Step 1: Convert the correct ratio 1/2 : 1/3 : 1/4 to whole numbers. Multiply each term by the LCM of denominators (12):

1/2 × 12 = 6, 1/3 × 12 = 4, 1/4 × 12 = 3 → Correct ratio = 6 : 4 : 3

Step 2: Total parts in correct ratio = 6 + 4 + 3 = 13

Correct shares:

A = (6/13) × 234 = ₹108

B = (4/13) × 234 = ₹72

C = (3/13) × 234 = ₹54

Step 3: Incorrect ratio = 2 : 3 : 4. Total parts = 2 + 3 + 4 = 9

Incorrect shares:

A = (2/9) × 234 = ₹52

B = (3/9) × 234 = ₹78

C = (4/9) × 234 = ₹104

Step 4: Calculate gain for each person:

A: ₹52 - ₹108 = -₹56 (loss)

B: ₹78 - ₹72 = ₹6 (gain)

C: ₹104 - ₹54 = ₹50 (gain)

C gains the most with ₹50.

हिन्दी उत्तर:

चरण 1: सही अनुपात 1/2 : 1/3 : 1/4 को पूर्ण संख्याओं में बदलें। हरों का ल.स. (12) से गुणा करें:

1/2 × 12 = 6, 1/3 × 12 = 4, 1/4 × 12 = 3 → सही अनुपात = 6 : 4 : 3

चरण 2: सही अनुपात में कुल भाग = 6 + 4 + 3 = 13

सही भाग:

A = (6/13) × 234 = ₹108

B = (4/13) × 234 = ₹72

C = (3/13) × 234 = ₹54

चरण 3: गलत अनुपात = 2 : 3 : 4। कुल भाग = 2 + 3 + 4 = 9

गलत भाग:

A = (2/9) × 234 = ₹52

B = (3/9) × 234 = ₹78

C = (4/9) × 234 = ₹104

चरण 4: प्रत्येक व्यक्ति का लाभ गणना करें:

A: ₹52 - ₹108 = -₹56 (नुकसान)

B: ₹78 - ₹72 = ₹6 (लाभ)

C: ₹104 - ₹54 = ₹50 (लाभ)

C को सबसे अधिक ₹50 का लाभ हुआ।