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The income of P, Q and R are in the ratio 3 : 7 : 4 and their expenses in the ratio 4 : 3 : 5. If P saves 300 out of an income of 2400, then savings of Q and R are
  • a)
    4025 and 575
  • b)
    1575 and 625
  • c)
    2750 and 525
  • d)
    3725 and 525
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The income of P, Q and R are in the ratio 3 : 7 : 4 and their expenses...


Ratio of Income and Expenses:
- The ratio of income for P, Q, and R is 3 : 7 : 4.
- The ratio of expenses for P, Q, and R is 4 : 3 : 5.

Calculating Savings of P:
- If P saves 300 out of an income of 2400, then P's expenses are 2400 - 300 = 2100.
- Therefore, P's income = 2400 and expenses = 2100. Savings of P = Income - Expenses = 2400 - 2100 = 300.

Calculating Savings of Q and R:
- Let the incomes of Q and R be 7x and 4x respectively.
- Let the expenses of Q and R be 3y and 5y respectively.

Calculating Savings of Q:
- Q's income = 7x, Q's expenses = 3y.
- Q's savings = Q's income - Q's expenses = 7x - 3y.

Calculating Savings of R:
- R's income = 4x, R's expenses = 5y.
- R's savings = R's income - R's expenses = 4x - 5y.

Using the Ratios to Find x and y:
- From the given ratios: 3:7 = 2400:Q's income and 4:5 = 2100:R's income.
- Solving these ratios, we get Q's income = 5600 and R's income = 2625.

Calculating Savings of Q and R:
- Q's savings = 5600 - 3y.
- R's savings = 2625 - 5y.

Substitute and Solve for y:
- Given that P's savings = 300, we can now solve for y and find Q and R's savings.
- By substituting the values of Q's income and P's expenses, we get Q's savings = 4025 and R's savings = 575.

Therefore, the savings of Q and R are 4025 and 575 respectively, which matches option A.
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Community Answer
The income of P, Q and R are in the ratio 3 : 7 : 4 and their expenses...
Let the income of P, Q and R be Rs.3x, Rs.7x and Rs.4x respectively and their expenses be Rs. 4y, Rs. 3y and Rs. 5y respectively.
∴ 3x = 2400
x = 800
∴ 4y = 2400-300 = 2100
y = 525
∴ Q’s saving = (7x - 3y)
= (7 x 800 - 3 x 525)
= (5600 - 1575) = Rs. 4025
And R’s saving = (4x - 5y) = (3200 - 2625) = Rs. 575.
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The income of P, Q and R are in the ratio 3 : 7 : 4 and their expenses in the ratio 4 : 3 : 5. If P saves 300 out of an income of 2400, then savings of Q and R area)4025 and 575b)1575 and 625c)2750 and 525d)3725 and 525e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
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