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X,Y and Z are partners sharingprofits in theraito of 5 :3:2. Calculate new profit -sharing ratio, sacrificing ratio, gaining ratioin eachof the followingcases: Case 1. If Zacquires1//5thshare from X. Case 2.If Z acquires 1//5th share equallyfrom X and Y. Case 3.If X,Y and Z decide to share equallyform X and Y. Case 4. IfZ acquire 1//5th share of Xand 1//6th Share of Y.

Answer» <html><body><p></p>Solution :Case.1<br/> (A) Their existingshare <br/> (B) Share <a href="https://interviewquestions.tuteehub.com/tag/acquired-1967529" style="font-weight:bold;" target="_blank" title="Click to know more about ACQUIRED">ACQUIRED</a> by <a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a> and <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> TheirNew Share (A+B) <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TSG_ACC_XII_V01_C04_S01_003_S01.png" width="80%"/> <br/>Thus, New Profits-sharing Ratio of X ,Y and Z `= (3)/(10): (3)/(10) : (4)/(10) = 3: 3:4,` Sacrifice of `X = 1//5, ` Gainof `Z = 1//5` <br/>Case 2. <br/>(A) Theirexisting share <br/> (B). Share acquired by Z form X and Y <br/>Their New Share (A + B) <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TSG_ACC_XII_V01_C04_S01_003_S02.png" width="80%"/> <br/>Thus, New Profit- SharingRatio of X,Y andZ `= (4)/(10): (2)/(10): (4)/(10) = 2:1:2,` <br/>Sarcrifing RatiobetweenX and Y`= 1//10 : 1/10 = 1:1,` Gain ofZ`= 2//10` <br/> Case 3.Sacrificing /(Gaining) Share = Old Share - New Share <br/> `{:(,,("X"),("Y"),("Z")),(("A") ,"Their existing(old)share",5//10,3//10,2//10),(("B"), "Their new share",1//3,1//3,1//3):}` <br/>`X = (5)/(10)- (1)/(3) = (15-10)/(30) =(5)/(30)("Sacrifice")` <br/> `Y = (3)/(10) - (1)/(3) = (9-1)/(30) = (1)/(30)`(beingnegative result, it is a gain) <br/>`Z = (2)/(10) - (1)/(3) =(6-10)/(30) = - (4)/(30)`(being negativeresult, it is a gain.)<br/>Thus, Y <a href="https://interviewquestions.tuteehub.com/tag/gains-1003231" style="font-weight:bold;" target="_blank" title="Click to know more about GAINS">GAINS</a> `1//30th` share Zgain by `4//30th` (Share of Yand Z haveincreased) and X scarifices by `5//30th` share. Gaining Ratio betweenY and Z `= (1)/(30) : (4)/(30) =1:4` <br/> Case. 4 <br/>`{:(,,("X"),("Y"),("Z")),((A),"Their existing(old)share",5//10,3//10,2//10),((B), "Share acquired by Z from",,,):}` <br/> ` X = (5)/(10) xx (1)/(5) xx (1)/(10), Y = (3)/(10) xx (10)/(6) = (1)/(20)` <br/>(C) Total share acquired by `Z = (1)/(10)+ (1)/(20) =(3)/(20)` <br/> Calculationof NewProfit-sharingRatio and Sacrifing Ratio :<br/><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TSG_ACC_XII_V01_C04_S01_003_S03.png" width="80%"/><br/>Thus, New Profit-SharingRatio of X,Y and Z `= (8)/(20):(5)/(20) : (<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>)/(20) = 8 :5:7` Gainof `Z = (3)/(20),` SacrficingbetweenX and Y= 2 : 1.</body></html>


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