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A sum of ₹7,740₹7,740 is divided between X, Y, and Z such that the ratio of the share of X to the combined share of Y and Z is 4:114 : 11 and the ratio of the share of Z to the combined share of X and Y is 1:31 : 3. What is the share (in Rs.) of Y?

Solution

✅ Correct Option: 4

X:(Y+Z)=4:11X : (Y + Z) = 4 : 11 means the total has 4+11=154 + 11 = 15 parts, of which X gets 44.

X=415×7740X = \dfrac{4}{15} \times 7740

=2064= 2064


Z:(X+Y)=1:3Z : (X + Y) = 1 : 3 means the total has 1+3=41 + 3 = 4 parts, of which Z gets 11.

Z=14×7740Z = \dfrac{1}{4} \times 7740

=1935= 1935


Y=7740−2064−1935Y = 7740 - 2064 - 1935

=3741= 3741

Therefore, the share of Y is Rs. 37413741.

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