Which of the following ratios is equal to \(3:2\)?
\(120:80\)
Reduce each ratio to its simplest form and compare with \(3:2\).
\(35:25 = 7:5\) (dividing by 5), which is not \(3:2\).
\(45:20 = 9:4\) (dividing by 5), which is not \(3:2\).
\(60:45 = 4:3\) (dividing by 15), which is not \(3:2\).
\(120:80 = 3:2\) (dividing by 40), which matches.
Hence, the ratio equal to \(3:2\) is \(120:80\).
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Important Questions from Ratio and Proportion
If the ratio of three numbers A, B and C is 2 ∶ 3 ∶ 5, and the sum of the squares of these numbers is 3800, then the value of C is:
A bag contains ₹310 in the form of 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 ∶ 3 ∶ 5. What is the number of 5 rupee coins?
The ratio of three numbers is 3 ∶ 5 ∶ 4 and the sum of their squares is 11250. Find the sum of the numbers.
When 'x' is subtracted from each of the numbers 22, 39, 56 and 107, then the resulting numbers, in this order, are in proportion. What is the mean proportional between (x + 3) and (3x - 7)?
The salaries of Ravi and Sumit are in the ratio 4 ∶ 5. If the salary of each is increased by Rs. 6,000 the new ratio becomes 35 ∶ 40. What will be Sumit's increased salary?
