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Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?
- a)7.95%
- b)8.3%
- c)6.34%
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Three friends P, Q and R donate 8%, 7% and 9% of their salary to a cha...
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Three friends P, Q and R donate 8%, 7% and 9% of their salary to a cha...
Let's assume the salary of P and Q as 'x'.
Given that the difference in their donations is Rs 74.
So, the donation of P - donation of Q = Rs 74.
Also, the total donation by P and Q is Rs 525 more than R's donation.
So, (donation of P + donation of Q) - donation of R = Rs 525.
Let's calculate the donations of P, Q, and R using the given information:
- Donation of P = 8% of salary of P = (8/100) * x = 0.08x
- Donation of Q = 7% of salary of Q = (7/100) * x = 0.07x
- Donation of R = 9% of salary of R = (9/100) * y = 0.09y
Substituting the values in the equations:
0.08x - 0.07x = 74 (Equation 1)
0.08x + 0.07x - 0.09y = 525 (Equation 2)
Simplifying the equations:
0.01x = 74
x = 74/0.01
x = 7400
Substituting the value of x in Equation 1:
0.08(7400) - 0.07(7400) = 74
592 - 518 = 74
74 = 74
Therefore, the value of x is correct.
Now, let's calculate the percentage of the total salary of the three donations:
- Total donation of P and Q = Donation of P + Donation of Q = 0.08x + 0.07x = 0.15x
- Total donation of P, Q, and R = Donation of P + Donation of Q + Donation of R = 0.08x + 0.07x + 0.09y
Substituting the values of x and y:
Total donation of P and Q = 0.15(7400) = 1110
Total donation of P, Q, and R = 0.08(7400) + 0.07(7400) + 0.09(7400) = 1110
The percentage of the total salary of the three donations is:
(1110 / 7400) * 100 = 15%
Therefore, the correct answer is option A) 7.95%.
Given that the difference in their donations is Rs 74.
So, the donation of P - donation of Q = Rs 74.
Also, the total donation by P and Q is Rs 525 more than R's donation.
So, (donation of P + donation of Q) - donation of R = Rs 525.
Let's calculate the donations of P, Q, and R using the given information:
- Donation of P = 8% of salary of P = (8/100) * x = 0.08x
- Donation of Q = 7% of salary of Q = (7/100) * x = 0.07x
- Donation of R = 9% of salary of R = (9/100) * y = 0.09y
Substituting the values in the equations:
0.08x - 0.07x = 74 (Equation 1)
0.08x + 0.07x - 0.09y = 525 (Equation 2)
Simplifying the equations:
0.01x = 74
x = 74/0.01
x = 7400
Substituting the value of x in Equation 1:
0.08(7400) - 0.07(7400) = 74
592 - 518 = 74
74 = 74
Therefore, the value of x is correct.
Now, let's calculate the percentage of the total salary of the three donations:
- Total donation of P and Q = Donation of P + Donation of Q = 0.08x + 0.07x = 0.15x
- Total donation of P, Q, and R = Donation of P + Donation of Q + Donation of R = 0.08x + 0.07x + 0.09y
Substituting the values of x and y:
Total donation of P and Q = 0.15(7400) = 1110
Total donation of P, Q, and R = 0.08(7400) + 0.07(7400) + 0.09(7400) = 1110
The percentage of the total salary of the three donations is:
(1110 / 7400) * 100 = 15%
Therefore, the correct answer is option A) 7.95%.
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Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three friends P, Q and R donate 8%, 7% and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the difference of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?a)7.95%b)8.3%c)6.34%d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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