Good Ratio and Proportion sum

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[email protected]: Legendary Member; Posts: 934; Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members; Location: AAMCHI MUMBAI LOCAL; Thanked: 63 times

by [email protected] » Tue Jun 07, 2011 10:03 am

Rs. 4850 have been divided among A,B,C such that if their shares be diminished by Rs. 15, Rs. 10 and Rs, 25 respectively, the remainders are in the ratio 3:4:5. Then B's share is???

A] Rs. 1595
B] Rs. 1610
C] Rs. 1626.66
D] Rs. 1600
E] Rs. 1700

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jainnikhil02: Master | Next Rank: 500 Posts; Posts: 123; Joined: Tue May 31, 2011 12:26 amFollowed by: 1 member; Location: Hyderabad; Thanked: 5 times

by jainnikhil02 » Tue Jun 07, 2011 10:11 am

IMO B

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Tue Jun 07, 2011 10:19 am

Hi,
Shares of A,B,C are (3x+15),(4x+10),(5x+25).
Given that total sum is 4850.
So, (3x+15)+(4x+10)+(5x+25)=4850 => x=400
B's share = 4x+10 = 1610.

Hence, B

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galaxian: Senior | Next Rank: 100 Posts; Posts: 79; Joined: Mon Jan 17, 2011 4:51 amFollowed by: 5 members; Location: Hyderabad, India; Thanked: 8 times

by galaxian » Tue Jun 07, 2011 10:23 am

I think this Qs can be solved directly through options.
Just Subtract 10 from each & find out which one is divisible by 4, which gets us B as ans.
but before using this..make sure no other option follows the same rule.

Surev: Senior | Next Rank: 100 Posts; Posts: 36; Joined: Thu May 26, 2011 7:19 am; Thanked: 3 times

by Surev » Tue Jun 07, 2011 5:26 pm

Total amount is reduced by (15+10+25)=50
So the remainder is 4850-50 = 4800.
This is in the ratio 3:4:5
So B's ratio in the remainder is 4/12*4800 = 1600
So B's share in the original amount will be = 1600 + 10 = 1610

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Tue Jun 07, 2011 7:41 pm

total amount deducted = 15+10+25 = 50
Thus remaining=4800
ratio: 3:4:5
(total=3+4+5 = 12)
thus for each part, 4800/12 = 400
B has 4 parts -> 1600
we initially deducted 10, thus add 10 ->1610
IMO B

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vikram4689: Legendary Member; Posts: 1325; Joined: Sun Nov 01, 2009 6:24 amFollowed by: 14 members; Thanked: 105 times

by vikram4689 » Tue Jun 07, 2011 7:53 pm

+1 for B

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by [email protected] » Wed Jun 08, 2011 1:22 am

Thank You guyzz yes the answer is B. But did your'll come to this step

3x + 15 + 4x + 10 + 5x + 25 = 4850.

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