Divide rs.780 among ram and shyam in the ratio 3:10.
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391 Rs is divided within three friends in the ratio 1/2 : 2/3 : 3/4
First of all we have to resolve ratio in simple form ,
Take LCM of denominator of each fraction ,
e.g., LCM { 2, 3, 4} = 12
Now, 1 × 6/2 × 6 : 2 × 4/3 × 4 : 3 × 3/4 × 3
⇒6/12 : 8/12 : 9/12
⇒ 6 : 8 : 9
Hence, 391 is divided within three friends in the 6 : 8 : 9 ratio .
Now, first share = 391 × 6/(6 + 8 + 9) = 391 × 6/23 = 17 × 6 = 102
2nd share = 391 × 8/(6 + 8 + 9) = 17 × 8 = 136
3rd and last share = 391 × 9/(6 + 8 + 9) = 17 × 9 = 153
Hence, last share is 153 Rs
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