If ₹851 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is :

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  1. 333
  2. 296
  3. 396
  4. 222

Answer (Detailed Solution Below)

Option 4 : 222
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सामान्य हिंदी सेक्शनल टेस्ट 1
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Detailed Solution

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Given:

The total sum to be divided = ₹851

Ratio of division = (1/2 : 2/3 : 3/4)

Solution:

The ratios are (1/2), (2/3), and (3/4).

The least common multiple (LCM) of the denominators (2, 3, and 4) is 12.

⇒ Convert each fraction to have the denominator of 12:

First part = 1/2 × 12 = 6

Second part = 2/3 × 12 = 8

Third part = 3/4 ×  = 9

Total parts = (6 + 8 + 9 = 23)

⇒ Calculate the first part's share of the total ₹851:

First part = Total sum × (First part's ratio / Total parts)

₹851 × (6 / 23)

⇒ ₹851 × (6 / 23)

⇒ ₹222

Hence, the first part is 222.

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