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?​

Answer 1

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)

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

Answer 2

Answer:

Priya have Rs 320

Pushpa have Rs 500