Question 55
Abhay gave 30% of his money 2 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 now left with Rs. 600. How much money did Abhay have initially ?
Solution
Let the amount with Abhay , Vinay, Vinay's mother and grocer be $$A, V , V_m and G $$ respectively
From the data given in question
$$V = \frac{3}{10} A$$
$$ V_m = \frac{2}{3} V = \frac{2}{3} \times \frac{3}{10} A $$
$$C = \frac{5}{8} V_m$$
Vinay's mother has 600 left after giving money to the grocer.
$$\frac{3}{8} V_m =600$$
$$\frac{3}{8} \times \frac{2}{3} \times \frac{3}{10} A =600$$
$$A = 8000$$
Option B is the correct answer.
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