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Rs. 555 was to be divided among A,B and ...

Rs. 555 was to be divided among A,B and C in the ratio of `(1)/(4):(1)/(5):(1)/(6)` But by mistake it was divided in the ratio `4:5:6` The amount in excess received by C was

A

₹72

B

₹75

C

₹22

D

₹52

Text Solution

Verified by Experts

The correct Answer is:
A
पहले `(1)/(4): (1)/(5): (1)/(6)` L.C.M= 60
`:. (1)/(4) xx 60 : (1)/(5) xx 60 : (1)/(6) xx 60 = 15 : 12 : 10`
`:. 15x + 12 x + 10x = 555`
`implies 37 x = 555`
`:. x =(555)/(37) = 15`
`:. C = 10x = 10 xx 15 = 150`
पुनः 4:5: 6 = 15x = 555 (जहाँ x अनुपाती राशि है)
`:. x = (555)/(15) = 37`
`:. C= 6 xx 37 = 222`
अतः अंतर = 222 - 150 = 72
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