A fraction in reduced form is such that when it is squared and then i…

Question

A fraction in reduced form is such that when it is squared and then its numerator is increased by 25% and the denominator is reduced t0 80% it results in 5/8 of original fraction. The product of the numerator and denomi…

Accepted Answer

Option C. 10. Answer & Solution Answer: Option C Solution: & Let\, the\, fraction\, be\, 100x100y & Now\, according\, to\, the\, question, & ( 100x100y )^2 = 125x^280y^2 = 25x^216y^2 & 25x^216y^2 = 5/8 ( 100x100y ) & 100x100y = 2/5 & hence, & product of numerator and denominator & = 2 × 5 = 10

A fraction in reduced form is such that when it is squared and then its numerator is increased by 25% and the denominator is reduced t0 80% it results in 5/8 of original fraction. The product of the numerator and denominator is :

Solution