# QR - Help me Lord!

#### Sugafoot79

##### Full Member
10+ Year Member
A Horse and a carriage cost \$5,000 together. By selling the horse at a 10% profit and the carriage at an 80% lost, a total profit of 1% is made. What is the cost of the horse?

#### Sublimation

##### Full Member
10+ Year Member
5+ Year Member
A Horse and a carriage cost \$5,000 together. By selling the horse at a 10% profit and the carriage at an 80% lost, a total profit of 1% is made. What is the cost of the horse?

i kno i saw this one before....i usually work backwards it works wonders sometimes and sometimes its hell.

i dont have much time but ill set it up for you...welll ill try to.

Say Horse is X and carriege is Y

X+Y = 5000

1.1(x) + .2(Y) = 5000(.01)

and just solve for X. 1.1 is the 10% profit and the .2 is the 80% loss. the way to think about it is if its a profit add that percent to 1 and if its a loss subtract that loss from one. hope that helped.

#### porterhouse

##### Full Member
1.1(x) + .2 = 5000(.01) + 5000

1.1(x) + .2(5000-x) = 5050 <--- bc, y = 5000-x

1.1x + 1000 -.2x = 5050

.9x = 4050

x = 4500 and therefore y = 500

check: (1.1 x 4500) + (.2 x 500) = 4950 + 100 = 5050

profit of 1% on a 5000 investment = 5050

#### pez123

##### New Member
10+ Year Member
Not sure if this is right, but this is how I set it up....
H + C = 5000
.1H - .8C = .01(5000)

Rearranged the first equation and plugged it into the second...
C = 5000 - H
.1H - .8(5000 - H) = .01(5000)
to make this easier to solve I multiplied by 10..
1H - 8(5000-H) = .1(5000)
1H - 40000 + 8H = 500
9H = 40500
H = 4500

#### Sublimation

##### Full Member
10+ Year Member
5+ Year Member
1.1(x) + .2 = 5000(.01) + 5000

1.1(x) + .2(5000-x) = 5050 <--- bc, y = 5000-x

1.1x + 1000 -.2x = 5050

.9x = 4050

x = 4500 and therefore y = 500

check: (1.1 x 4500) + (.2 x 500) = 4950 + 100 = 5050

profit of 1% on a 5000 investment = 5050

oops i forgot that lol your right, i didnt follow my own strategy, it shoulda been 5000(1.01). sorry

#### Sugafoot79

##### Full Member
10+ Year Member

That makes more sense now. Thx yal'll

#### porterhouse

##### Full Member
oops i forgot that lol your right, i didnt follow my own strategy, it shoulda been 5000(1.01). sorry

No need to apologize for anything. I viewed this question and my eyes crossed. The only reason I was able to solve this was based on your initial assessment and approach to the probelm. Without your rational I would've sat and scratched my head for five minutes wondering how in the world I'd set it up. Your strategy was extremely helpful to me and I thank you for that. Excellent practice for me, thanks.

#### Sugafoot79

##### Full Member
10+ Year Member
Is it me or CDM sort of overkill. I just feel a little discourage about the QR section of the DAT now. After doing 3 practice test, I can't seem to finish the entire test and can't score higher than a 16. On top of that, the explanations suck. What initially was suppose to be a practice test and study the ones I missed, has now become a full days worth of QR. My day has gone to waste trying to figure out the problems and the explanations. Any suggestions? Should I keep trying these test or go back to the basics b/c these problems seem really advance. From here on out or starting tomorrow, I will be starting a thread about tough problems that I've seen on CDM. Thanks again ya'll!

Last edited:

#### Sublimation

##### Full Member
10+ Year Member
5+ Year Member
Hang in there man. Just understand how to do the problems....this way...after test 5 ull see results...im on test 6 or 7 and to be honest id love to take 2 tests a day but there just isnt enough time with all the other things i need to study and all. But just get the timing down. if u have no idea wat to do. guess and skip, staring at the problem wont do anything lol. so just move fast. MAKE SURE U READ EACH PROBLEM AND HAD TIME TO ANSWER ALL THE ONES THAT YOU SAW AND KNEW EXACTLY WAT TO DO. honestly im hoping that CDM is overkill lol.

This thread is more than 12 years old.

Your message may be considered spam for the following reasons: