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Question

If a: b = 5: 3, then (a³-b³): (a³+b³) = ?

The correct answer is

49:76

Given a:b = 5:3 Let a = 5k and b = 3k (a³ - b³) : (a³ + b³) = (125k³ - 27k³) : (125k³ + 27k³) = 98k³ : 152k³ = 49 : 76

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Important Questions from Compound Ratios

  1. The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, find the second number.

  2. When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers so obtained are in proportion. The ratio of (8x - 25) to (7x - 26) is:

  3. The train fare, bus fare and air fare between 2 places are in the ratio 5 : 8 : 12, the number of passenger travelled by them is in the ratio 3 : 4 : 5 and the total fare collected on a particular day for these modes of transportation for a single trip is Rs. 1,07,000. Find the fare collected from the air passengers.

  4. A person carries Rs. 165/ - in the form of currency notes of denominations Rs. 5, Rs. 10 & Rs. 20 in the ratio of 3 : 2 : 1. What is the value of currency notes of Rs. 20 denomination?

  5. What is the compound ratio of 2 : 3, 4 : 7 and 5 : 6?

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