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P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these?
Most Upvoted Answer
P, Q and R are three cities. The ratio of average temperature between ...
Solution:
Given, the ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.
Let the average temperature of P, Q and R be 11x, 12x and 8y respectively.
From the given ratios, we get:
$\frac{11x}{12x} = \frac{11}{12}$ and $\frac{11x}{9y} = \frac{9}{8}$
Solving the above equations, we get:
x = $\frac{132}{143}$ and y = $\frac{99}{143}$
Therefore, the average temperature of P, Q and R are:
P = $\frac{11 \times 132}{143}$ = $\frac{1452}{143}$
Q = $\frac{12 \times 132}{143}$ = $\frac{1584}{143}$
R = $\frac{8 \times 99}{143}$ = $\frac{792}{143}$
Therefore, the ratio between the average temperature of Q and R is:
$\frac{Q}{R}$ = $\frac{\frac{1584}{143}}{\frac{792}{143}}$ = $\frac{1584}{792}$ = $\frac{22}{11}$ = 2:1
Hence, the required ratio is 22:11 which is equivalent to 2:1.
Therefore, the correct option is (a) 22:27.
Given, the ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.
Let the average temperature of P, Q and R be 11x, 12x and 8y respectively.
From the given ratios, we get:
$\frac{11x}{12x} = \frac{11}{12}$ and $\frac{11x}{9y} = \frac{9}{8}$
Solving the above equations, we get:
x = $\frac{132}{143}$ and y = $\frac{99}{143}$
Therefore, the average temperature of P, Q and R are:
P = $\frac{11 \times 132}{143}$ = $\frac{1452}{143}$
Q = $\frac{12 \times 132}{143}$ = $\frac{1584}{143}$
R = $\frac{8 \times 99}{143}$ = $\frac{792}{143}$
Therefore, the ratio between the average temperature of Q and R is:
$\frac{Q}{R}$ = $\frac{\frac{1584}{143}}{\frac{792}{143}}$ = $\frac{1584}{792}$ = $\frac{22}{11}$ = 2:1
Hence, the required ratio is 22:11 which is equivalent to 2:1.
Therefore, the correct option is (a) 22:27.
Community Answer
P, Q and R are three cities. The ratio of average temperature between ...
P/Q = 11/12 ==> Q/P = 12/11 ---(1)
P/R = 9/8----(2)
(1) × (2) ====>
Q/P × P/R = 12/11 × 9/8
Q/R = 12×9/11×8 = 108 /88
On cancelling by 4, we get
Q/R = 27/22
Q:R = 27:22(b)
P/R = 9/8----(2)
(1) × (2) ====>
Q/P × P/R = 12/11 × 9/8
Q/R = 12×9/11×8 = 108 /88
On cancelling by 4, we get
Q/R = 27/22
Q:R = 27:22(b)
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P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these?
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P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these?.
P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these?.
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P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these?, a detailed solution for P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? has been provided alongside types of P, Q and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is (a) 22:27 (b)27:22 (c) 32:33 (d) none of these? theory, EduRev gives you an
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