Three partners P, Q and R invested a total of Rs. 52,000 in a business. At the end of the year, P got Rs. 1430, Q got Rs. 1870 and R got Rs. 2420 as the share of profit. How much amount did Q invest in the business?

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SSC MTS (2022) Official Paper (Held On: 13 Jun, 2023 Shift 3)
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  1. Rs. 15300
  2. Rs. 18700
  3. Rs. 17000
  4. Rs. 20400

Answer (Detailed Solution Below)

Option 3 : Rs. 17000
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Detailed Solution

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Given:

Three partners  P, Q and R invested a total of Rs. 52,000 in a business.

At the end of the year, P got Rs. 1430, Q got Rs. 1870 and R got Rs. 2420 as the share of profit. 

Concept used:

Their investment is as per their profit ratio.

Calculation:         

Their profit ratio is 

⇒ 1430 : 1870 : 2420 = 143 : 187 : 242

As per the question,

Value of (143 +187 + 242) unit = 572 unit is 52000

So value of 187 unit is ,

⇒ (52000 / 572) × 187 = Rs 17000

∴ The correct option is 3

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