The average pocket money of 3 friend A B C is…

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The average pocket money of 3 friend A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)-

  1. A. Rs. 10
  2. B. Rs. 20
  3. C. Rs. 30
  4. D. Rs. 40

Answer: Option A

Here is complete explanation of The average pocket money of 3 friend A B C is….

Solution(By ExamCraze Team)

According to the question,
Pocket money
$$eqalign{ & Rightarrow frac{{A + B + C}}{3} = 80 cr & Rightarrow A + B + C = 240 cr} $$
Unspent pocket money
$$eqalign{ & Rightarrow frac{{A + B + C}}{3} = 60 cr & Rightarrow A + B + C = 180 cr} $$
Spent pocket money = 240 - 180 = Rs. 60
Given:
$$frac{B}{A} = frac{2}{1},,{text{and}},,frac{C}{A} = frac{3}{1}$$
    A     B     C  
Spent  123  = 6 units
6 units -------- 60
1 unit --------- 10
∴ A spent = 1 × 10 = Rs. 10

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