X, Y and Z invest a sum in the ratio 6 : 59 : 41 respectively. If they earned total profit of ₹3,180 at the end of year, then what is the difference between the share of Y and Z?

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  1. ₹540
  2. ₹432
  3. ₹484
  4.  ₹634

Answer (Detailed Solution Below)

Option 1 : ₹540
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Detailed Solution

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Given:

Total profit = ₹3,180

Investment ratio of X : Y : Z = 6 : 59 : 41

Formula used:

Profit share = (Individual investment ratio / Total ratio) × Total profit

Calculation:

Total ratio = 6 + 59 + 41 = 106

Profit share of Y = (59 / 106) × 3180

⇒ Profit share of Y = ₹1,770

Profit share of Z = (41 / 106) × 3180

⇒ Profit share of Z = ₹1,230

Difference between share of Y and Z = ₹1,770 - ₹1,230

⇒ Difference = ₹540

∴ The correct answer is option (1).

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