Question

Rs. 9400 is to be divided in the ratio 1/3:1/4: 1/5. Find the difference between the minimum value and the maximum value? (Ratio Proportion 1)​

Answer 1

Answer:

-1600

Step-by-step explanation:

See attached photos

Answer 2

Therefore the difference between the maximum value and the minimum value is Rs. 1,600.

Given:

The total amount to be divided = Rs. 9400/-

The ratio in which the amount can be divided is 1/3:1/4: 1/5.

To Find:

The difference between the minimum value and the maximum value.

Solution:

The given question can be solved as shown below.

Given that,

The total amount to be divided = Rs. 9400/-

Let the common number be 'x'.

The ratio in which the amount can be divided is 1/3:1/4: 1/5.

If the 'x' is multiplied then the ratio can be removed,

⇒ 1/3:1/4: 1/5 ⇒ x/3 = x/4 = x/5

Maximum value = x/3

Minimum value = x/5

Second value = x/4

Now the sum of these values gives Rs. 9400/-

⇒ x/3 + x/4 + x/5 = 9400

⇒ x (1/3 + 1/4 + 1/5 ) = 9400

⇒ x ( 20 + 15 + 12 )/60 = 9400

⇒ x × 47 = 9400 × 60

⇒ x = ( 9400 × 60 )/47 = 12,000

The minimum value = x/5 = 12,000/5 = 2400

The maximum value = x/3 = 12,000/3 = 4,000

The difference between the maximum value and the minimum value = 4,000 - 2,400 = 1,600

Therefore the difference between the maximum value and the minimum value is Rs. 1,600.

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