Subject

    Quantitative Aptitude

    Topic

    Percentage

    In a class of 80 students and 20 teachers, each student got sweets which was x% of total number of students, while every teacher got sweets which was 2x% of total no. of students. If some sweets were also donated to homeless, whose number was equal to 50% of the sweets given to the all the teachers, then what is the value of ‘x’, if 560 sweets were bought in total?

    ক)
    8
    খ)
    15
    গ)
    2.5
    ঘ)
    10
    ঙ)
    5

    Explanation

    ⇒ No. of sweets given to each student =x100×80= \frac{x}{{100}} \times 80 ⇒ Total no. of sweets given to students =(x100×80)×80=64x= \left( {\frac{x}{{100}} \times 80} \right) \times 80 = 64x ___________(1) ⇒ No. of sweets given to each teacher =2x100×80= \frac{{2x}}{{100}} \times 80 ⇒ Total no. of sweets given to all teachers  =(2x100×80)×20=32x= \left( {\frac{{2x}}{{100}} \times 80} \right) \times 20 = 32x  ___________(2) ⇒ No. of sweets donated to homeless = 32x/2 = 16x            ___________(3) According to the question, ⇒ Equations (1) + (2) + (3) = 560 Solving the above equations we get, ⇒ ‘x’ = 5

    Find Tutors

    View all Tutors