A man gave 2/5 of his money to his wife, 1/4 to his daughter, 1/3 to his son and the remaining rs. 20,000 to charity.
What was the total amount??
Answers
Answer:
1200000
Step-by-step explanation:
The total amount of money is Rs. 1,20,000.
Given: A man gave 2/5 of his money to his wife, 1/4 to his daughter, 1/3 to his son, and the remaining Rs. 20,000 to charity.
To Find: The total amount.
Solution:
Let the total amount be 'x'.
The fraction of money given to the wife = 2/5
The amount of money given to the wife = 2x / 5
The fraction of money given to the daughter = 1/4
The amount of money given to the daughter = x / 4
The fraction of money given to the son = 1/3
The amount of money given to the wife = x / 3
Total amount of money given to family = ( 2x/5 + x/4 + x/3 )
= 59x / 60
The amount of money remaining = Rs. 20000
So, from the above conditions, we frame an equation;
x - 59x / 60 = 20000
⇒ ( 60x - 59x ) / 60 = 20000
⇒ x = 20000 × 60
= Rs. 1,20,000
Hence, the total amount of money is Rs. 1,20,000.
#SPJ2