GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 23:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

### Show Tags

07 Mar 2019, 04:31
1
00:00

Difficulty:

35% (medium)

Question Stats:

73% (03:14) correct 27% (03:07) wrong based on 15 sessions

### HideShow timer Statistics

A trust of $45,000 was divided into three smaller trusts in the ratio 2:3:4. These trusts earned interest at 4%, 5%, and 6.5 %, respectively. The interest income earned after 1 year is approximately what percent of the starting value of the trust? A) 6.25% B) 6% C) 5.5% D) 5% E) 4.75% _________________ Why do we fall?...So we can learn to pick ourselves up again Math Expert Joined: 02 Aug 2009 Posts: 7958 A trust of$45,000 was divided into three smaller trusts in the ratio  [#permalink]

### Show Tags

07 Mar 2019, 06:15
Abhi077 wrote:
A trust of $45,000 was divided into three smaller trusts in the ratio 2:3:4. These trusts earned interest at 4%, 5%, and 6.5 %, respectively. The interest income earned after 1 year is approximately what percent of the starting value of the trust? A) 6.25% B) 6% C) 5.5% D) 5% E) 4.75% We do not have to get into share of each .. interest 4:5:6.5 for share in ratio 2:3:4.. $$Average = \frac{Total interest}{total share}=\frac{2*4+3*5+4*6.5}{2+3+4}=\frac{49}{9}=5.5$$ C Also 2:3:4 and 4:5:6.5 can visually get you to the answer. 2:4 in ratio 4:6.5 means it has to be twice farther from 2 as from 4.. so $$4+\frac{(6.5-4)*2}{3}=4+1.6=5.6$$ so now we have (2+4):3 with interest 5.6:5... so again it has to be closer to 5.6 than 5, so 5.5 is the only available answer, _________________ A trust of$45,000 was divided into three smaller trusts in the ratio   [#permalink] 07 Mar 2019, 06:15
Display posts from previous: Sort by