The ratio of amount with three persons is 2:4:5. If each of these amount is increased by Rs. 500 , the ratio changes to 3:5:6. Find the amount with 1st person initially.
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The 1st person initially had Rs. 1000.
Step-by-step explanation:
The ratio of amount with three persons is 2:4:5.
That is the total amount is, T = 2x + 4x + 5x.
On increasing every persons amount by Rs. 500 the new ratio is, 3:5:6.
That is:
(2x + 500) + (4x + 500) + (5x + 500) = 3x + 5x + 6x
11x + 1500 = 14x
11x - 14x = -1500
-3x = -1500
x = 500
Compute the value with 1st person initially as follows:
1st person = 2x
= 2 × 500
= 1000
Thus, the 1st person initially had Rs. 1000.
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