Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave 1/3 of her money to Aarushi as her Birthday Gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total amount with her. If the remaining money in Aaurshi’s pocket is Rs 1600, then the amount gifted by Anushka is.
a)Rs 900
b)Rs 800
c)Rs 700
d)Rs 1000
Answers
Answer:
Option B) 800
Sum gifted by Anushka is Rs. 800.
Step-by-step explanation:
Solution :
Let the money in their pockets be Rs. y
Anushka gave 1/3 of y to Aarushi
Amount with Aarushi = y + y/3 = Rs. 4y/3
As per the question,
Aarushi paid half of what she had to the restaurant.
Half of 4y/3 = 2y/3
Amount left with Aarushi,
⇒ Rs. 1600 = Rs. 2y/3
⇒ 2y/3 = 1600
⇒ 2y = 4800
⇒ y = Rs. 2400
Sum gifted by Anushka,
⇒ y/3
⇒ 2400/3
⇒ Rs. 800
Therefore, sum gifted by Anushka is Rs. 800.
Answer:
b) Rs 800
Step-by-step explanation:
Let the money in their pockets be Rs. x
Anushka gave 1/3 of Rs.x to Aarushi
Money now with Aarushi = x + x/3 = Rs. 4x/3
Aarushi paid half of what she had to the restaurant. That is half of Rs. 4x/3 = Rs. 2x/3
Money left with Aarushi = Rs. 1600 = Rs. 2x/3
2x/3 = 1600
2x = 4800
x = Rs. 2400
Sum gifted by Anushka = x/3 = Rs. 800