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An amount of ₹ 735 was divided between A, B and C. If each of them had received ₹ 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C was
  • a)
    ₹ 195
  • b)
    ₹ 200
  • c)
    ₹ 225
  • d)
    ₹ 245
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An amount of 735 was divided between A, B and C. If each of them had ...
Let
A got = x + 25
B got = 3x + 25
C got = 2x + 25
ATQ
x + 25 + 3x + 25 + 2x + 25 = 735
6x = 735 – 75
6x = 660
x = 110
Money received by
C = 2x + 25
= 2 × 110 + 25 = 245
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Most Upvoted Answer
An amount of 735 was divided between A, B and C. If each of them had ...
Given Information:
- The total amount is 735.
- If each person had received 25 less, their shares would have been in the ratio of 1:3:2.

Let's assume the shares of A, B, and C without the deduction of 25 as a, b, and c respectively.

Calculating the Ratios:
- The original ratio of their shares can be represented as (a+25):(b+25):(c+25).
- According to the given information, this ratio is 1:3:2.
- Therefore, we can write the equation:
(a+25):(b+25):(c+25) = 1:3:2

Solving the Equation:
- We can rewrite the equation as:
(a+25)/(b+25) = 1/3 ...(1)
(a+25)/(c+25) = 1/2 ...(2)

- Cross-multiplying equation (1), we get:
3(a+25) = b+25
3a+75 = b+25
3a-b = -50 ...(3)

- Cross-multiplying equation (2), we get:
2(a+25) = c+25
2a+50 = c+25
2a-c = -25 ...(4)

- Solving equations (3) and (4) simultaneously, we can find the values of a, b, and c.

Distributing the Amount:
- The sum of their shares without the deduction of 25 is a+b+c.
- According to the given information, a+b+c = 735.

Finding the Value of C:
- We need to find the money received by C.
- The value of c represents the share of C without the deduction of 25.

Therefore, the correct answer is option 'D' - 245.
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An amount of 735 was divided between A, B and C. If each of them had received 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C wasa) 195b) 200c) 225d) 245Correct answer is option 'D'. Can you explain this answer?
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