Ratio, Proportion
- ₹ 1740 is divided among A, B, and C such that 0.5 of A = ₹ 0.6 of B = ₹ 0.75 of C. Then C will get
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A × 0.5 = B × 0.6 = C × 0.75
⇒ A × 5 = B × 6 = C × 75 10 10 100 ⇒ A = B = C 2 5/3 4/3 ∴ A : B : C = 2 : 5 = 4 3 3
= 6 : 5 : 4∴ C’s share = 4 × 1740 = ₹ 464 15 Correct Option: D
A × 0.5 = B × 0.6 = C × 0.75
⇒ A × 5 = B × 6 = C × 75 10 10 100 ⇒ A = B = C 2 5/3 4/3 ∴ A : B : C = 2 : 5 = 4 3 3
= 6 : 5 : 4∴ C’s share = 4 × 1740 = ₹ 464 15
- ₹ 738 is divided among A, B, C so that their shares are in the ratio of 2 : 3 : 4. B’s share is
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B’s share = 3 × 738 (2 + 3 + 4) = 3 × 738 = ₹ 246 9 Correct Option: B
B’s share = 3 × 738 (2 + 3 + 4) = 3 × 738 = ₹ 246 9
- ₹ 180 are to be divided among 66 persons (men and women). The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. The number of men is
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Suppose amount received by men = 5x.
and amount received by women = 4x
According to question
5x + 4x = 180
⇒ 9x = 180 ⇒ x = 20
∴ Amount received by men = ₹ 100
Amount received by women= ₹ 80
Suppose the number of men be y and that of women be (66 – y).
According to question100 = 3/2 y 80 60 − y ⇒ 100 × 66 − y = 3 y 80 2 ⇒ 5(66 − y) = 3 4y 2
⇒ 660 – 10y = 12y
⇒ 22y = 660 ⇒ y = 30Correct Option: C
Suppose amount received by men = 5x.
and amount received by women = 4x
According to question
5x + 4x = 180
⇒ 9x = 180 ⇒ x = 20
∴ Amount received by men = ₹ 100
Amount received by women= ₹ 80
Suppose the number of men be y and that of women be (66 – y).
According to question100 = 3/2 y 80 60 − y ⇒ 100 × 66 − y = 3 y 80 2 ⇒ 5(66 − y) = 3 4y 2
⇒ 660 – 10y = 12y
⇒ 22y = 660 ⇒ y = 30
- A sum of ₹ 7,000 is divided among A, B, C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is
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A : B = 2 : 3
B : C = 4 : 5
∴ A : B : C = 8 : 12 : 15∴ B’s share = 12 × 7000 = ₹ 2400 35 Correct Option: A
A : B = 2 : 3
B : C = 4 : 5
∴ A : B : C = 8 : 12 : 15∴ B’s share = 12 × 7000 = ₹ 2400 35
- A sum of ₹ 86, 700 is to be divided among A, B and C in such a manner that for every rupee that A gets, B gets 90 paise and for every rupee that B gets, C gets 100 paise. B’s share will be
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When A gets 100 paise, B gets 90 Paise
When B gets 100 paise, C gets 110 paise
∴ When B gets 90 paise, C gets110 × 90 = 99 paise 100
∴ A : B : C = 100 : 90 : 99
Sum of the ratios = 100 + 90 + 99 = 289∴ B’ share = 90 × 86700 = ₹ 27000 289 Correct Option: B
When A gets 100 paise, B gets 90 Paise
When B gets 100 paise, C gets 110 paise
∴ When B gets 90 paise, C gets110 × 90 = 99 paise 100
∴ A : B : C = 100 : 90 : 99
Sum of the ratios = 100 + 90 + 99 = 289∴ B’ share = 90 × 86700 = ₹ 27000 289