Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Percentage

    Find the original fraction if in a fraction, numerator in increased by 25% and the denominator is decreased by 10%. The new fraction then obtained is 5/9.

    ক)
    2/5
    খ)
    5/9
    গ)
    3/5
    ঘ)
    1/5
    ঙ)
    None of these

    Explanation

    Let the original fraction be x/y Now numerator increase by 25% i.e. x+25100xx + \frac{{25}}{{100}}x Denominator diminished by 10%i.e. y−  10100yy - \;\frac{{10}}{{100}}y ∴ New fraction becomes x+25100xy−10100y=59\frac{{x + \frac{{25}}{{100}}x}}{{y - \frac{{10}}{{100}}y}} = \frac{5}{9} ⇒x+14xy−110y=59⇒54x910y=59\Rightarrow \frac{{x + \frac{1}{4}x}}{{y - \frac{1}{{10}}y}} = \frac{5}{9} \Rightarrow \frac{{\frac{5}{4}x}}{{\frac{9}{{10}}y}} = \frac{5}{9} ⇒10x4y=1.\Rightarrow \frac{{10x}}{{4y}} = 1. ⇒xy=410=25\Rightarrow \frac{x}{y} = \frac{4}{{10}} = \frac{2}{5}

    Related questions

    The true discount on a bill of Tk. 540 is Tk. The banker's discount is:The present worth of a sum due sometime hence is Tk. 576 and the banker's gain is Tk. The true discount is:In a class, 120 students are male and 100 students are female 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam, what percentage of engineering students passed the exam?Tk. 20 is the true discount on Tk. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?if 75% of a number is added to then the result is the number itself .  The some of the number isThe present worth of Tk. 2310 due 2×(1/2) years hence, the rate of interest being 15% per annum, is:The banker's gain on a bill due 1 year hence at 12% per annum is Tk. The true discount is:A sum of money invested at compound interest amounts to Rs 4624 in 2 yrs and Rs 4913 in 3 yrs. The sum of money is

    Find Tutors

    View all Tutors