Question

sonika went shopping with her daughter arushi she spent 1/2 of what she had an buying socks for arushi and gave rupees 2 to a beggar.she spent 1/2of what was left on lunch and gave rupees 10 as tip.she spent 1/2of the remaining amount for buying stationary for her daughter and spent rupees 6 as bus fare, when the reached home, sonika had rupees 20 left in her purse how much money did she take for shopping.​

Answer 1

Answer:

252

Step-by-step explanation:

Let the money with sonia be x

She spent 1/2 of what she had for arushing and gave rupees 2 to beggar so remaing money is $\frac{x}{2}-2$

She spent 1/2 of it on lunch and gave rs 10 as tip, so now remaing tip : $\frac{1}{2}\left(\frac{x}{2}-2\right) - 10$

She spent 1/2 of it on stationary and rs 6 as bus fare therefore the amount she has with her is

$\frac{1}{2}\left[\frac{1}{2}\left(\frac{x}{2}-2\right)-10\right]-6=20$

Solving for x gives x=252.