SOLUTION: In 2005, a school was given a sum of $6000. 20% was spent on stationery, 70% on photocopying and the rest on cleaning services. In 2006, the sum was increased. the school spent the

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Question 144658: In 2005, a school was given a sum of $6000. 20% was spent on stationery, 70% on photocopying and the rest on cleaning services. In 2006, the sum was increased. the school spent the same amount of money on stationery and increased its spending on photocopying by $975. It spent the remaining 15% on cleaning services. By what percentage was the sum given to the school increased?

*PLS TRY NOT TO USE ALGEBRA
Found 2 solutions by edjones, Edwin McCravy:
Answer by edjones(8007) (Show Source):
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2005
6000*.2=1200 stationary
6000*.7=4200 photocopying
6000-4200-1200=600 cleaning
1200+4200+600
.
2006
1200 stationary
4200+975=5175 photocopying
1200+5175=6375 85% of expenses
6375/.85=7500 total spent
.
7500/6000=1.25
The sum given to the school was increased by 25%
.
Ed

Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website!
In 2005, a school was given a sum of $6000. 20% was spent on stationery, 70% on photocopying and the rest on cleaning services. In 2006, the sum was increased. the school spent the same amount of money on stationery and increased its spending on photocopying by $975. It spent the remaining 15% on cleaning services. By what percentage was the sum given to the school increased?
>>...In 2005, a school was given a sum of $6000. 20% was spent on stationery,...<<

$6000 x.20 ----- $1200 was spent on stationery in 2005

>>...70% on photocopying...<<

$6000 x.70 ----- $4200 was spent on photocopying in 2005

>>...and the rest on cleaning services...<<

We could figure that as $600 but we don't need that.

>>...In 2006, the sum was increased. the school spent the same amount of money on stationery...<<

so $1200 was spent on stationery in 2006, same as 2005

>>...and increased its spending on photocopying by $975...<<

$4200 was spent on photocopying in 2005 $ 975 increase ---------------------------------------- $5175 was spent on photocopying in 2006 So altogether $1200 was spent on stationery in 2006, same as 2005 $5175 was spent on photocopying in 2006 -------------------------------------------------- $6375

>>...It spent the remaining 15% on cleaning services...<<

Since there is only 15% that remains, this means that the $6375 is 85% of the money given in 2006. So we only have to divide $6375 by 85% 0.85)6375 7500 so $7500 is what the school got in 2006 85)637500 595 425 425 00 00 00 00 0

>>...By what percentage was the sum given to the school increased?...<<

$7500 is what the school got in 2006 $6000 is what the school got in 2005 ------------------------------------ $1500 is the dollar amount of increase. So we need to find what percent $1500 is of $6000. To do this we divide $1500 by $6000 .25 6000)1500.00 1200 0 300 00 300 00 So the answer is 25%. Edwin