\(\text{₹}9,520\) is divided among X, Y, and Z in the ratio \(\frac{1}{2} : \frac{1}{4} : \frac{5}{16}\). What is the share of Y?
₹2,240
The ratio is \(\frac{1}{2} : \frac{1}{4} : \frac{5}{16}\). Taking the LCM of denominators as 16, multiply each term by 16.
This gives \(8 : 4 : 5\).
The sum of the ratio terms is \(8 + 4 + 5 = 17\).
Y's share is \(\frac{4}{17} \times 9520 = \text{₹}2,240\).
Hence, the share of Y is ₹2,240.
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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)?
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