Question

Anand, Binoy, Chetan and Dharma together have Rs 47 with them. Anand and Binoy together have Rs 27; Chetan and Anand have Rs 25 and Dharma and Anand have Rs 23. How much money does Binoy have?

• A. 9
• B. 11
• C. 13
• D. 28

Answer 1

The Correct Option is C

Anand, Binoy, Chetan, and Dharma together have Rs 47. We can represent this mathematically as:

A + B + C + D = 47

Anand and Binoy together have Rs 27:

A + B = 27

Chetan and Anand have Rs 25:

C + A = 25

Dharma and Anand have Rs 23:

D + A = 23

We can solve these equations step-by-step:

Subtract the equation A + B = 27 from the total equation A + B + C + D = 47:

(A + B + C + D) - (A + B) = 47 - 27

C + D = 20

Now subtract A + C = 25 from C + D = 20:

(C + D) - (A + C) = 20 - 25

D - A = -5

Or we can say:

A = D + 5

Also, using D + A = 23 and substituting A = D + 5:

D + (D + 5) = 23

2D + 5 = 23

Solving for D:

2D = 18

D = 9

Substitute D = 9 back into A = D + 5:

A = 9 + 5 = 14

Now substitute A = 14 into A + B = 27 to find B:

14 + B = 27

B = 13

Therefore, the amount of money Binoy has is 13. This matches the correct answer option.