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Question

Mathematics Question on Percentage

If a% of x is equal to b% of y, then c% of y is what % of x?

A

c%

B

ac/b%

C

bc/a%

D

abc%

Answer

ac/b%

Explanation

Solution

Given : a% of x is equal to b% of y
ax=by\rightarrow ax=by
y=axb\rightarrow y=\frac{ax}{b}
Multiplying both sides with c100\frac{c}{100}
c100×y=(c100)×(axb)\rightarrow \frac{c}{100}\times y =(\frac{c}{100})\times(\frac{ax}{b})
c%\rightarrow c\% of yy is (acb)%(\frac{ac}{b})\% of xx
The correct answer is (B) : ac/b%