Ex. 1. 864 is divided among A, B an...
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Ex. 1. 864 is divided among A, B and C such that 8 times A's share is equal to 12 times B's share and also equal to 6 times C's share. How much did B get ? SSC CGL (Tier-In 2012 (1) 399 (2) * 192 (3) * 288 (4) 72

11th - 12th Class
Maths
Solution
60
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Sol. ( (2) 8 A=B times 12=6 C ) ( Rightarrow frac{8 A}{24}=frac{12 B}{24}=frac{6 C}{24} ) ( Rightarrow frac{A}{3}=frac{B}{2}=frac{C}{4} ) ( therefore A: B: C=3: 2: 4 ) B's share ( =frac{2}{3+2+4} times 864 ) ( =frac{2}{9} times 864=₹ 192 )
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