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9. Divide Rs. 670 among A, B and C in the ratio 2/3 : 1/5: 1/4
Answers
Answer:
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Step-by-step explanation:
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A gets Rs. 400,
B gets Rs. 120,
C gets Rs. 150.
Given: Rs. 670 to be divided among A, B, and C in the ratio 2/3: 1/5: 1/4.
To Find: The amount each one among A, B, and C gets.
Solution:
The ratio given is = 2/3: 1/5: 1/4
So, the same ratio can be obtained by multiplying each of the elements by the LCM of their denominators.
So, the LCM of the denominators is = LCM ( 3, 5, 4 )
= 3 × 4 × 5
= 60
So, the ratio becomes = 60 × 2/3: 60 × 1/5: 60 × 1/4
= 40 : 12 : 15
Let the constant of the ratio be 'x'.
So, the share of A = 40x
The share of B = 12x
The share of C = 15x
So, we can frame an equation as,
40x + 12x + 15x = 670
⇒ 67x = 670
⇒ x = 10
So, A gets = Rs. 40 × 10 = Rs. 400
B gets = Rs. 12 × 10 = Rs, 120
C gets = Rs. 15 × 10 = Rs. 150
Compiling the answers, we get;
A gets Rs. 400,
B gets Rs. 120,
C gets Rs. 150.
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