18. 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
Answers
Answer:
a)22:27
Step-by-step explanation:
Given, the ratio of the average temperature of P and Q be 11: 12 and P and R as 9: 8 .
i.e.,
\frac { P } { Q } = \frac { 11 } { 12 }
Q
P
=
12
11
And,
\frac { P } { R } = \frac { 9 } { 8 }
R
P
=
8
9
Now, we need to calculate the ratio of Q: R
Now,
\frac { Q } { R } = \frac { Q } { P } \times \frac { P } { R }
R
Q
=
P
Q
×
R
P
Substituting the values of the ratios in the above equation, we get,
\begin{gathered}\begin{array} { c } { \frac { Q } { R } = \frac { 12 } { 11 } \times \frac { 9 } { 8 } } \\\\ { \frac { Q } { R } = \frac { 3 \times 9 } { 11 \times 2 } } \\\\ { \frac { Q } { R } = \frac { 27 } { 22 } } \end{array}\end{gathered}
R
Q
=
11
12
×
8
9
R
Q
=
11×2
3×9
R
Q
=
22
27
Thus, the ratio of Q: R will be equal to 27/22