If ₹ 150 is distributed amongst three children in the ratio 2:3:4 then, what is the smallest amount received?
Answers
Answer:
40
Step-by-step explanation:
We have,
Total money =Rs.180
Ratio
3
1
:
4
1
:
6
1
Total ratio
=
3
1
+
4
1
+
6
1
=
12
4+3+2
=
12
9
=
4
3
The share of first child
180×
4
3
3
1
=180×
9
4
=80
The share of second child
180×
4
3
4
1
=180×
3
1
=60
The share of Third child
180×
4
3
6
1
=180×
18
4
=180×
9
2
=40
Hence, this is the answer.
Smallest amount received is ₹ 100/3 or about ₹ 33.33 if ₹ 150 is distributed amongst three children in the ratio 2:3:4
Given:
- ₹ 150 is distributed amongst three children in the ratio 2:3:4
To Find:
- the smallest amount received
Solution:
Step 1:
Assume that Amount receives are 2x, 3x and 4x as ratio is 2 : 3 : 4
Step 2:
Add all amounts and equate with 150 and solve for x
2x + 3x + 4x = 150
=> 9x = 150
=> 3x = 50 ( Divide both sides by 3)
=> x = 50/3 ( Divide both sides by 3)
Step 3:
2x is smallest hence find value of 2x by substituting x = 50/3
2x = 2(50/3)
= 100/3
≈ 33.33
Hence Smallest amount received is ₹ 100/3 or about ₹ 33.33