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Q.

A fraction is reduced form is such that when it is squared and then its numerator is increased by 25% and the denominator is reduced to 80%, it results in 5/8 of the original fraction. The product of the numerator and denominator is

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a

6

b

12

c

10

d

7 

answer is C.

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Detailed Solution

Let the fraction be 100x/100y
Now, Ac to the question ,
125x2/8042 = 25x2/1642 = ⅝ x 100x/100y
25x2 /1642  = ⅝ x 100x/100
100x/100y = 5/2
Hence, product of numerator and denominator
=2x5 =10.
   Type -  CBSE
Class-  Grade 10
Topic-  Profit and Loss
 
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A fraction is reduced form is such that when it is squared and then its numerator is increased by 25% and the denominator is reduced to 80%, it results in 5/8 of the original fraction. The product of the numerator and denominator is