question_answer 29)

Ila reads 25 pages of a book containing 100 pages. Lalita reads \[\frac{180}{200}=\frac{180\div 20}{200\div 20}=\frac{9}{10}\] of the same book. Who read less?

Answer:

Fraction of book read by \[\frac{180}{200}\] [\[\frac{9}{10}\] HCF of 25 and 100 = 25] Fraction of book read by Lalita \[\to \] For comparing \[\frac{9\times 2}{10\times 2}=\frac{18}{20}\] and \[\frac{9\times 3}{10\times 3}=\frac{27}{30}\] We have, \[\frac{660}{990}\] and \[=\times 2\times \times 5\times \] [by cross-product] \[990=\times 3\times \times 5\times \] \[990=2\times 3\times 5\times 11=330\] Hence, IIa reads less pages of a book.