## Ratio and Proportion Solved Questions For IBPS, SBI and Other Bank Exams - Page 3

**Question 1**

If P:Q = 9:11 and Q:R = 13:15 then which of the following is P:Q:R?

a) 117:143:165 b) 117:195:135 c) 154:143:180 d) none of these

**Answer : **a) 117:143:165

Solution :

Given that, P:Q = 9:11 and Q:R = 13:15.

The common variable of above two ratios is Q.

Make Q value as same in both ratios:

Q:R = 13:15 = 13x(11/13) : 15x(11/13) = 11 : 15x11/13

Now, P:Q = 9:11 and Q:R = 11: 15x11/13

P:Q:R = 9:11:(15x11)/13 = (9x13) : (11x13) : (15x11x13/13) = (9x13) : (11x13) : (15x11)

117:143:165

**Question 2**

If X:Y = 5:6 and Y:Z = 10:11 then what will be X:Z?

a) 22:39 b) 27:31 c) 25:33 d) none of these

**Answer : **c) 25:33

Solution :

Given that, X:Y = 5:6 and Y:Z = 10:11

i.e., X/Y = 5/6 and Y/Z = 10/11

We have to find X:Z

X/Z = (X/Y) x (Y/Z) = (5/6) x (10/11) = 50/66 = 25/33

Hence, X:Z = 25:33.

**Question 3**

If P:Q = 5:12, Q:R = 4:15 and R:S = 6:7 then P:S is:

a) 2:21 b) 4:15 c) 1:23 d) 3:12

**Answer : **a) 2:21

Solution :

Given that, P/Q = 5/12, Q/R = 4:15 and R/S = 6/7.

We have to find, P:S

P/S = (P/Q) x (Q/R) x (R/S)

P/S = (5/12) x (4/15) x (6/7) = 2/21

Hence, P:S = 2:21

**Question 4**

If X:Y:Z = 5:6:7 then (X/Y):(Y/Z):(Z/X) is equal to:

a) 195:120:244 b) 175:180:294 c) 275:280:214 d) none of these

**Answer : **b) 175:180:294

Solution :

Given that, X:Y:Z = 5:6:7

Let X = 5a, Y = 6a and Z = 7a.

X/Y = 5a/6a = 5/6

Y/Z = 6a/7a = 6/7

Z/X = 7a/5a = 7/5

(X/Y):(Y/Z):(Z/X) = (5/6):(6/7):(7/5) = (5x7x5 / 6x7x5) : (6x5x6 / 7x5x6) : (7x6x7 / 5x6x7)

= (5x7x5) : (6x6x5) : (7x6x7)

= 175:180:294

Hence, the required answer is 175:180:294.