A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 ∶ 3, then the combined loss percentage is : 

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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  1. 5.5%
  2. 7%
  3. 6%
  4. 8%

Answer (Detailed Solution Below)

Option 4 : 8%
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

A shopkeeper earns 10% on an investment but loses 20% on another investment.

The ratio of the two investments is 2 ∶ 3.

Concept used:

Weighted average, W = 

W = weighted average

n = number of terms to be averaged

Wi = weights applied to x values

Xi = data values to be averaged

Calculation:

His combined loss percentage

⇒ (Loss is taken in a negative manner in contrast to the profit)

⇒ -8% (Negative sign indicates loss)

∴ The combined loss percentage is 8%.

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