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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.)-
- A. Rs. 10
- B. Rs. 20
- C. Rs. 30
- 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 | 1 | 2 | 3 | = 6 units |
6 units -------- 60
1 unit --------- 10
∴ A spent = 1 × 10 = Rs. 10