    Question

# If P is x% more than Q but y% less than R, then find the ratio of Q to R.

A
(100 – y):(100 + x)
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B
(100 + y):(100 – x)
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C
(100 – x):(100 + y)
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D
(100 + x):(100 – y)
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Solution

## The correct option is A (100 – y):(100 + x)P=Q(1+x100)....(1) and P=R(1−y100)....(2) Dividing (1) by (2),we get Q:R=(1−y100):(1+x100)=(100−y):(100+x) Alternate method: We can assume any arbitrary values for x and y. Let x = 10 and y = 20. Also, let Q = 100q So, P = 100q + 10% of 100q = 110q Let R = 100r So, P = 100r – 20r = 80r So, 110 q = 80r ⇒ Ratio of q to r = 8:11 Now, putting x = 10 and y = 20 in A, we can see that it is coming out to be 8:11. Hence, option A is the correct answer.  Suggest Corrections  0      Similar questions
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