Sonika went shopping with her daughter Aarushi. She spent 1/2 of what she had on buying socks for Aarushi and gave to ₹2 to a beggar. She spent 1/2 of what was left on lunch and gave ₹10 as tips. She spent 1/2 of the remaining amount for buying stationery for her daughter and spent ₹6 as bus fare. When they reached home, Sonika had ₹20 left in her purse. How much money did she take for shopping?
Answers
Answer:
She took Rs 252 for shopping
Step-by-step explanation:
One Method :
Let say Sonika had = M Rs
She spent 1/2 of what she had on buying socks for Aarushi = M/2
She left with M/2 Rs
Given to beggar = Rs 2
She left with = M/2 - 2 = (M - 4)/2 Rs
She spent 1/2 of what was left on lunch
She left with = (M-4)/4 Rs
gave rs 10 tip
She left with = (M-4)/4 - 10 = (M - 44)/4 Rs
She spent 1/2 of the remaining amount for buying stationery for her daughter
She left with = (M - 44)/8 Rs
spend rs 6 on bus fare
She left with = (M - 44)/8 - 6 Rs
(M - 44)/8 - 6 = 20
=> (M - 44)/8 = 26
=> M - 44 = 208
=> M = 252
She took Rs 252 for shopping
Method 2 : ( reverse calculation)
She left with Rs 20
Before that she spent Rs 6 on bus fare
so she had earlier = Rs 26
She spent 1/2 of the amount for buying stationery
=> she had before that purchase = rs 52
she gave Rs 10 tip
=> she has before = Rs 62
spent 1/2 on lunch
=> she had before that = 62 * 2 = 124
rs 2 gave to beggar
=> she had before = 126
Spent 1/2 on buying socks
=> she had before = 126 * 2 = Rs 252
Answer:
252 rs bhosadi ke
Step-by-step explanation:
Teri maa ki