Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Questions > If 20% of P = 30% of Q = 1/6 of R, then P Q:...
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If 20% of P = 30% of Q = 1/6 of R, then P ∶ Q: R is
- a)2 ∶ 3 ∶ 16
- b)3 ∶ 2 ∶ 16
- c)10 ∶ 15 ∶ 18
- d)15 ∶ 10 ∶ 18
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16...
Given:
20% of P = 30% of Q = 1/6 of R
Calculation:
20% of P = 30% of Q = 1/6 of R
Similarity,
∴ P : Q : R = 15 : 10 : 18
20% of P = 30% of Q = 1/6 of R
Calculation:
20% of P = 30% of Q = 1/6 of R
Similarity,
∴ P : Q : R = 15 : 10 : 18
Most Upvoted Answer
If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16...
Given:
20% of P = 30% of Q = 1/6 of R
Calculation:
20% of P = 30% of Q = 1/6 of R
Similarity,
∴ P : Q : R = 15 : 10 : 18
20% of P = 30% of Q = 1/6 of R
Calculation:
20% of P = 30% of Q = 1/6 of R
Similarity,
∴ P : Q : R = 15 : 10 : 18
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Community Answer
If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16...
Given information:
- 20% of P = 30% of Q
- 20% of P = 1/6 of R
To solve this problem, we can assign variables to each quantity and set up equations based on the information given.
Let's assume:
P = x
Q = y
R = z
Equations:
- 20% of P = 30% of Q
0.2x = 0.3y (equation 1)
- 20% of P = 1/6 of R
0.2x = (1/6)z (equation 2)
To find the ratio of P:Q:R, we need to eliminate either x, y, or z from the equations. Let's eliminate x by rearranging equation 1 and substituting it into equation 2.
Rearrange equation 1:
0.3y = 0.2x
y = (0.2/0.3)x
y = (2/3)x (equation 3)
Substitute equation 3 into equation 2:
0.2x = (1/6)z
(2/3)x = (1/6)z
x = (1/6)z * (3/2)
x = (1/4)z (equation 4)
Now we have expressions for both y and x in terms of z. Let's substitute these into the ratio equation P:Q:R.
Ratio equation:
P:Q:R = x:y:z
Substitute equations 3 and 4 into the ratio equation:
P:Q:R = (1/4)z : (2/3)x : z
P:Q:R = (1/4)z : (2/3)(1/4)z : z
P:Q:R = 1:2/3:4/3
P:Q:R = 3:2:4
Therefore, the ratio of P:Q:R is 3:2:4, which matches option D (15:10:18).
- 20% of P = 30% of Q
- 20% of P = 1/6 of R
To solve this problem, we can assign variables to each quantity and set up equations based on the information given.
Let's assume:
P = x
Q = y
R = z
Equations:
- 20% of P = 30% of Q
0.2x = 0.3y (equation 1)
- 20% of P = 1/6 of R
0.2x = (1/6)z (equation 2)
To find the ratio of P:Q:R, we need to eliminate either x, y, or z from the equations. Let's eliminate x by rearranging equation 1 and substituting it into equation 2.
Rearrange equation 1:
0.3y = 0.2x
y = (0.2/0.3)x
y = (2/3)x (equation 3)
Substitute equation 3 into equation 2:
0.2x = (1/6)z
(2/3)x = (1/6)z
x = (1/6)z * (3/2)
x = (1/4)z (equation 4)
Now we have expressions for both y and x in terms of z. Let's substitute these into the ratio equation P:Q:R.
Ratio equation:
P:Q:R = x:y:z
Substitute equations 3 and 4 into the ratio equation:
P:Q:R = (1/4)z : (2/3)x : z
P:Q:R = (1/4)z : (2/3)(1/4)z : z
P:Q:R = 1:2/3:4/3
P:Q:R = 3:2:4
Therefore, the ratio of P:Q:R is 3:2:4, which matches option D (15:10:18).
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If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16c)10 15 18d)15 10 18Correct answer is option 'D'. Can you explain this answer?
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If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16c)10 15 18d)15 10 18Correct answer is option 'D'. Can you explain this answer? for Airforce X Y / Indian Navy SSR 2025 is part of Airforce X Y / Indian Navy SSR preparation. The Question and answers have been prepared according to the Airforce X Y / Indian Navy SSR exam syllabus. Information about If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16c)10 15 18d)15 10 18Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Airforce X Y / Indian Navy SSR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 20% of P = 30% of Q = 1/6 of R, then P Q: R isa)2 3 16b)3 2 16c)10 15 18d)15 10 18Correct answer is option 'D'. Can you explain this answer?.
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