Divide Rs.14136 among A, B and C such that 2 times A's share, 3 times B's share and 5 times C's share are all equal. What is the share of C?

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SSC MTS (2022) Official Paper (Held On: 02 May 2023 Shift 2)
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  1. Rs.3680
  2. Rs.456
  3. Rs.2736
  4. Rs.1413

Answer (Detailed Solution Below)

Option 3 : Rs.2736
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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90 Questions 150 Marks 90 Mins

Detailed Solution

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Given:

2A = 3B = 5C = Rs. 14136

Concept:

Solve the equation to find the share of C.

Solution:

According to question

⇒ 2A = 3B = 5C = k

The LCM of 2, 3, and 5 is 30.

So the ratio of A : B : C is

⇒ A : B : C = 15 : 10 : 6

⇒ So C's share = Rs. 14136/31 × 6 = Rs. 2736

Therefore, the share of C is Rs. 2736.

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