Mr. Sharma gave 1/3 of his money to Sonal and
5/12 of the money to Kunal. He deposited the rest of the
money equally in 3 accounts. What fraction of his money did he deposit in each account?
Answers
Answer:
answer:
54
step-by-step explanation:
let the number be x
then,1/3 of 1/4 of x=15
x=15*3*4=180
so required number =((3/10)*180)=54
Answer:
The fraction of his money Mr. Sharma gave to:
Sonal → \frac{1}{3}
3
1
of his money
Kunal → \frac{5}{12}
12
5
of his money
Mr. Sharma deposited rest of the money equally into 3 of his accounts
To find:
The fraction of his money he deposited in each account
Solution:
Let Mr. Sharma initially has "x" money with him.
So, he gave to
Sonal → \frac{x}{3}
3
x
Kunal → \frac{5x}{12}
12
5x
∴ Total amount Mr. Sharma gave from his money = \frac{x}{3} + \frac{5x}{12}
3
x
+
12
5x
= \frac{4x \:+\: 5x}{12}
12
4x+5x
= \frac{9x}{12}
12
9x
After giving to Sonal and Kunal, Mr. sharma is left with,
= x - \frac{9x}{12}x−
12
9x
= \frac{12x\:-\:9x}{12}
12
12x−9x
= \frac{3x}{12}
12
3x
= \frac{x}{4}
4
x
Since this rest of his money after giving to Sonal and Kunal i.e., \frac{x}{4}
4
x
, Mr. Sharma had divided equally into 3 of his accounts. So, each account will have \frac{1}{3}
3
1
rd of the rest of the money he was left with.
∴ The fraction of his money in each accounts is,
= \frac{1}{3} \:\times\:\frac{x}{4}
3
1
×
4
x
= \frac{x}{12}
12
x
= \bold{\frac{1}{12}}
12
1
of his money
Thus, Mr. Sharma deposited \underline{\frac{1}{12}}
12
1
of his money in each of the 3 accounts. plz mark me brainliest