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A sum of Rs 3800 is divided among three persons A, B. and C in the ratio 1/2 : 1/3 : 3/4 . What is the share of the person C?

1. Rs. 3360
2. Rs. 2240
3. Rs. 2150
4. Rs. 1800

3800 रुपये की राशि तीन व्यक्तियों A, B और C के बीच 1/2 : 1/3 : 3/4 के अनुपात में विभाजित की जाती है। C का हिस्सा क्या है?

1. 3360 रुपये
2. 2240 रुपये
3. 2150 रुपये
4. 1800 रुपये
This Question came in
UGC-NET-history-10-January-2025-Shift-1-Q38
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Detailed Explanation & Answer
Given ratio: 1/2 : 1/3 : 3/4
Find LCM of denominators (2, 3, 4) = 12
Multiply each term by 12 to remove fractions:

(1/2) × 12 = 6, (1/3) × 12 = 4, (3/4) × 12 = 9

New ratio = 6 : 4 : 9
Total parts = 6 + 4 + 9 = 19

C's share = (9/19) × 3800 = 1800

Answer: **(4) Rs. 1800**
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