Q.

Divide 671 among A, B, C such that if their shares be increased by 3, 7 and 9 respectively, the remainder shall be in the ratio 1 : 2: 3

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a

114,223,334

b

 ₹ 112, ₹ 223, ₹ 336

c

 ₹ 114, ₹ 221, ₹ 336

d

 ₹ 112,F227,332

answer is A.

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Detailed Solution

Let A's share be  ₹  x, 

B's share be ₹ y. 

Then, C's share = ₹  [671-(x +y)]

Now x+3:y+7:671(x+y)+9=1:2:3

x+3:y+7:680(x+y)=1:2:3x+3=16×690=115x=112

Also, y+7=26×690=230

y=223

 C's share =Rs[671(112+223)]=Rs336

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