Ratio, Proportion
- A sum of the ₹ 300 is divided among P, Q and R in such a way that Q gets ₹ 30 more than P and R gets ₹ 60 more then Q. Then, ratio of their shares is?
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Let the share of P = x
Then, Q's share = x + 30 and
R's share = (x + 30) + 60 = x + 90
Sum of money with P, Q and R = 300
∴ x + (x + 30) + (x + 90) = 300Correct Option: A
Let the share of P = x
Then, Q's share = x + 30 and
R's share = (x + 30) + 60 = x + 90
Sum of money with P, Q and R = 300
∴ x + (x + 30) + (x + 90) = 300
⇒ 3x + 120 = 300
∴ x = (300 - 120)/3 = 60
∴ Required ratio = 60 : (60 + 30) : (60 + 90) = 2 : 3 : 5
- Out of two sections A and B, 10 students of section B shift to A, as a result strength of A becomes 3 times the strength of B. But , if 10 students shift over from A to B, both A and B become equal in strength. Ratio of the number of students in section A that of section B is ?
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A +10 = 3(B - 10)
⇒ A - 3B = -20 ....(i)
And ( A - 10) = (B + 10)
⇒ A - B = 20 ...(ii)
on subtracting Eq.(ii) from Eq.(i), we get
(A - 3B) - (A - B) = -20 - 20
⇒ - 2B = - 40
there4; B = 20Correct Option: A
A +10 = 3(B - 10)
⇒ A - 3B = -20 ....(i)
And ( A - 10) = (B + 10)
⇒ A - B = 20 ...(ii)
on subtracting Eq.(ii) from Eq.(i), we get
(A - 3B) - (A - B) = -20 - 20
⇒ - 2B = - 40
there4; B = 20
Now, by using Eq. ...(ii),
there4; Ratio of the numbers of students of A and B = 40 : 20 = 2 : 1
- The ratio of 1st and 2nd classes train fairs between two stations is 3 : 1 and that of the number of passengers travelling between these stations by 1st and 2nd classes is 1 : 50. If on a particular day, ₹ 2650 be collected from the passengers travelling between these stations, then find the amount collected from 2nd class passengers.
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Ratio of the amounts collected from 1st and 2nd classes fairs = (3 x 1) ; (1 x 50) = 3 : 50
∴ Amount collected from 2nd class
Passengers = 2650 x (50/53) = ₹ 2500Correct Option: D
Ratio of the amounts collected from 1st and 2nd classes fairs = (3 x 1) ; (1 x 50) = 3 : 50
∴ Amount collected from 2nd class
Passengers = 2650 x (50/53) = ₹ 2500
- ₹ 710 were divided among A, B and C in such a way that A had ₹ 40 more than B and C had ₹ 30 more than A. How much was C's share?
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Let B gets x.
Then, A gets (x + 40) and C gets (x + 70).
According to the question,
x + 40 + x + x + 70 = 710
Correct Option: A
Let B gets x.
Then, A gets (x + 40) and C gets (x + 70).
According to the question,
x + 40 + x + x + 70 = 710
⇒ 3x = 710 - 110 = 600
∴ x = 600/3 = 200
∴ C's share = 200 + 70 = ₹ 270
- A sum of money is to be divided equally among P, Q and R in the respective ratio of 5 : 6 : 7 and another sum of money is to be divided between S and T equally. If S got ₹ 2100 less than P, then how much amount did Q receive?
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Couldn't be determined, since the total amount of money is not given in either of the case.
Correct Option: D
Couldn't be determined, since the total amount of money is not given in either of the case
