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p is six times bigger than q. By what percentage is q less than p?
Question

p is six times bigger than q. By what percentage is q less than p?

A.

88.33%

B.

16.66%

C.

90%

D.

60%

Correct option is A

Given:

- p is six times bigger than q. That means: p = 6q
Formula Used:

- Percentage decrease formula:

Percentage = (Difference)Original Value×100\frac{(Difference) }{ Original \ Value} × 100​​

- Here, q is compared to p, so:

Percentage = ((pq)p)×100 (\frac{(p - q) }{ p}) × 100​​
Solution:

- p = 6q

- Difference between p and q = p - q = 6q - q = 5q

- Percentage by which q is less than p:

=(5q6q)×100 =(56)×100 =83.33%= (\frac{5q }{6q}) × 100 \\\ \\= (\frac{5 }{ 6}) × 100 \\\ \\= 83.33 \%​​

q is 83.33% less than p.

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