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The wages of three labourers A, B and C are in the ratio 10 : 12 : 15, respectively. A's wage is increased in the ratio 5 : 6, B's wage is increased in the ratio 3 : 4 and C's wage is increased in the ratio 3 : 5. The new ratio of the wages of A, B and C respectively is
- a)15 : 18 : 20
- b)12 : 16 : 25
- c)6 : 7 : 9
- d)8 : 6 : 5
Correct answer is option 'B'. Can you explain this answer?
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The wages of three labourers A, B and C are in the ratio 10 : 12 : 15...
Let the wage of A be 10x.
Wage after increment
Let the wage of B be 12x.
Wage after increment
Let the wage of C be 15x.
Wage after increment
Ratio of the wages of A, B and C after increment = 12 : 16 : 25
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Community Answer
The wages of three labourers A, B and C are in the ratio 10 : 12 : 15...
Understanding the Initial Ratio of Wages
The wages of labourers A, B, and C are given in the ratio of 10:12:15.
- Let A's wage = 10x
- Let B's wage = 12x
- Let C's wage = 15x
Calculating the New Wages After Increases
1. A's Wage Increase:
- Increased in the ratio 5:6.
- New wage of A = (10x * 6) / 5 = 12x.
2. B's Wage Increase:
- Increased in the ratio 3:4.
- New wage of B = (12x * 4) / 3 = 16x.
3. C's Wage Increase:
- Increased in the ratio 3:5.
- New wage of C = (15x * 5) / 3 = 25x.
New Wages Summary
- A's new wage = 12x
- B's new wage = 16x
- C's new wage = 25x
Calculating the New Ratio
The new ratio of the wages of A, B, and C can be expressed as follows:
- A : B : C = 12x : 16x : 25x
By simplifying the ratio:
- The common factor x cancels out, giving us 12 : 16 : 25.
Conclusion
Thus, the new ratio of the wages of A, B, and C is 12 : 16 : 25, which corresponds to option B.
The wages of labourers A, B, and C are given in the ratio of 10:12:15.
- Let A's wage = 10x
- Let B's wage = 12x
- Let C's wage = 15x
Calculating the New Wages After Increases
1. A's Wage Increase:
- Increased in the ratio 5:6.
- New wage of A = (10x * 6) / 5 = 12x.
2. B's Wage Increase:
- Increased in the ratio 3:4.
- New wage of B = (12x * 4) / 3 = 16x.
3. C's Wage Increase:
- Increased in the ratio 3:5.
- New wage of C = (15x * 5) / 3 = 25x.
New Wages Summary
- A's new wage = 12x
- B's new wage = 16x
- C's new wage = 25x
Calculating the New Ratio
The new ratio of the wages of A, B, and C can be expressed as follows:
- A : B : C = 12x : 16x : 25x
By simplifying the ratio:
- The common factor x cancels out, giving us 12 : 16 : 25.
Conclusion
Thus, the new ratio of the wages of A, B, and C is 12 : 16 : 25, which corresponds to option B.
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The wages of three labourers A, B and C are in the ratio 10 : 12 : 15, respectively. A's wage is increased in the ratio 5 : 6, B's wage is increased in the ratio 3 : 4 and C's wage is increased in the ratio 3 : 5. The new ratio of the wages of A, B and C respectively isa)15 : 18 : 20b)12 : 16 : 25c)6 : 7 : 9d)8 : 6 : 5Correct answer is option 'B'. Can you explain this answer?
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