Ratio, Proportion
- The ratio of incomes of A and B is 5 : 6. If A gets ₹ 1,100 less than B, their total income (in rupees) is
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Let the income of A be ₹ 5x and that of B be ₹ 6x.
According to the question,
6x –5x =1100
∴ Total income = 5x + 6x = ₹ 11x
= ₹ (11×1100) = ₹ 12100Correct Option: B
Let the income of A be ₹ 5x and that of B be ₹ 6x.
According to the question,
6x –5x =1100
∴ Total income = 5x + 6x = ₹ 11x
= ₹ (11×1100) = ₹ 12100
- The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends ₹ 2000 and B saves ₹ 700, then A saves
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Let the income of A and B be ₹ 5x and ₹ 3x respectively.
Let the expenses of A, B and C
be ₹ 8y, Rs. 5y and ₹ 2y respectively. Then,
2y = 2000⇒ y = 2000 = 1000 2
B saves = ₹ 700
∴ 3x –5y = 700
⇒ 3x –5×1000 = 700
⇒ 3x = 700 +5000 = 5700⇒ x = 5700 = 1900 3
∴ A’s saving = ₹ (5x–8y)
= ₹ (5×1900–8×1000)
= ₹ (9500 – 8000) = ₹ 1500Correct Option: A
Let the income of A and B be ₹ 5x and ₹ 3x respectively.
Let the expenses of A, B and C
be ₹ 8y, Rs. 5y and ₹ 2y respectively. Then,
2y = 2000⇒ y = 2000 = 1000 2
B saves = ₹ 700
∴ 3x –5y = 700
⇒ 3x –5×1000 = 700
⇒ 3x = 700 +5000 = 5700⇒ x = 5700 = 1900 3
∴ A’s saving = ₹ (5x–8y)
= ₹ (5×1900–8×1000)
= ₹ (9500 – 8000) = ₹ 1500
- The ratio of income and expenditure of a person is 11 : 10. If he saves ₹ 9,000 per annum, his monthly income is
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Let the income of man be ₹ = 11x and his expenditure be ₹ 10x
∴ Savings = x = ₹ 9000
∴ Monthly income of man= 11 × 9000 = ₹ 8250 12 Correct Option: D
Let the income of man be ₹ = 11x and his expenditure be ₹ 10x
∴ Savings = x = ₹ 9000
∴ Monthly income of man= 11 × 9000 = ₹ 8250 12
- The ratio of the income to the expenditure of a family is 10 : 7. If the family’s expenses are ₹ 10,500, then savings of the family is
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Income of the family
= 10 × 10500 = ₹ 15000 7
Savings = 15000 – 10500
= ₹ 4500Correct Option: A
Income of the family
= 10 × 10500 = ₹ 15000 7
Savings = 15000 – 10500
= ₹ 4500
- Monthly income of A and B are in the ratio of 4 : 3 and their expenses bear the ratio 3 : 2. Each of them saves ₹ 6,000 at the end of the month, then the monthly income of A is
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Let the monthly income of A and B be ₹ 4x and ₹ 3x respectively and their expenditures be ₹ 3y and Rs. 2y respectively.
∴ 4x – 3y = 6000
and 3x – 2y = 6000
⇒ 4x – 3y = 3x – 2y
⇒ x = y
∴ 4x – 3y = 6000
⇒ x = 6000
⇒ A’s monthly income = 4x
= ₹ 24000Correct Option: B
Let the monthly income of A and B be ₹ 4x and ₹ 3x respectively and their expenditures be ₹ 3y and Rs. 2y respectively.
∴ 4x – 3y = 6000
and 3x – 2y = 6000
⇒ 4x – 3y = 3x – 2y
⇒ x = y
∴ 4x – 3y = 6000
⇒ x = 6000
⇒ A’s monthly income = 4x
= ₹ 24000
