Question: Abhav gave 30% of his money to Vijay. Vijay gave 2/3rd of what he received to his mother. Vijay’s mother gave 5/8th of the money she received from Vijay, to the grocer. Vijay’s mother is row left with Rs. 600. How much money did Abhay have initially? [SBI (PO) Pre 2015]
Options:
A) Rs. 6200
B) Rs. 8000
C) Rs. 6000
D) Rs. 8200
E) Rs. 10200
Show Answer
Answer:
Correct Answer: B
Solution:
- Let the money Abhay had initially be Rs. x.
Amount received by Vijay = 30% of $ x=Rs.\frac{3}{10}x $
Amount received by Vijay’s mother
$ =Rs.\frac{3}{10}\times \frac{2}{3}x=Rs.\frac{1}{5}x $
Amount received by grocer $ =Rs.\frac{5}{8}\times \frac{1}{5}x=Rs.\frac{x}{8} $
Amount Vijay’s mother is left with
$ =( \frac{x}{5}-\frac{x}{8} )=\frac{8x-5x}{40}=Rs.\frac{3x}{40} $
According to the question,
$ \frac{3x}{40}=600 $
$ \Rightarrow $ $ x=\frac{600}{3}\times 40 $
$ \Rightarrow $ $ x=Rs.,8000 $