(b) Pushpa and Priya have some money, 50% of Pushpa’s money exceeds 30% of Priya’s money by Rs 10. But 20% of Priya’s money exceeds 25%

Question

(b) Pushpa and Priya have some money, 50% of Pushpa’s money exceeds 30% of Priya’s money by
Rs 10. But 20% of Priya’s money exceeds 25% of Pushpa’s money by Rs 20. How much money
do Pushpa and Priya have?​

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Sarah 8 months 2021-09-23T10:14:10+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-23T10:15:49+00:00

    Step-by-step explanation:

    Let pushpa has x money and priya has y money

    So

    ATQ

    50% of pushpa’s money = 30% priya’s money + 10

    \frac{50x}{100} = \frac{30y}{100} +10\\\frac{x}{2} = \frac{3y}{10} +10\\\\\frac{x}{2} = \frac{3y+100}{10} \\\\x = \frac{3y+100}{5} \\\\Equation (1)

    Question’s Second part,

    20% priya’s money = 25% of Pushpa’s money + 20

    20y/100 = 25x/100 + 20

    y/5 = x/4 + 20

    y/5 – 20 = x/4

    \frac{y-100}{5} = \frac{x}{4}

    Put x value from equation (1)

    \frac{y-100}{5} = \frac{3y+100}{5} *\frac{1}{4} \\4(y -100) = 3y+100\\4y -400= 3y +100\\y=400+100

    y = 500

    Priya has y = 500

    Pushpa’s Money

    Put y = 500 in equation (1)

    \frac{3y+100}{5} = x\\x = \frac{3*500+100}{5} \\x = \frac{1600}{5} \\x = 320

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