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Current Student
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Joined: 08 Jan 2016
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To order certain plants from a catalog, it costs $3.00 per plant...... [#permalink] ### Show Tags 23 May 2016, 02:17 2 8 00:00 Difficulty: 5% (low) Question Stats: 83% (01:44) correct 17% (02:11) wrong based on 571 sessions ### HideShow timer Statistics To order certain plants from a catalog, it costs$3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of$69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18
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Re: To order certain plants from a catalog, it costs $3.00 per plant...... [#permalink] ### Show Tags 23 May 2016, 11:18 4 1 nalinnair wrote: To order certain plants from a catalog, it costs$3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of$69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18

 Total Cost = Fixed Cost + Variable Cost/unit x No of Units bought

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23 May 2016, 05:00
3
nalinnair wrote:
To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus$6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order? A. 22 B. 21 C. 20 D. 19 E. 18 You do not have to do any calculations if you understand the propertiies of number thrown by Q... A constant amount is 6.95 and Toatl is 69.95... so variable price dependent on # of plants = 69.95-6.95 = 63... where as cost of ONE plant is NON_INTEGER 3+ 5% of 3, total is an integer..... so # of plants has to be multiple of 10 to give an integer.. ONLY 20 is possible C... METHOD... cost of ONE plant =$$3 + 3*0.05 = 3.15...$$ let the # of plants be p.. so $$3.15p+6.95=69.95................ 3.15p=63......................p= \frac{63}{3.15} = \frac{6300}{315}= 20$$ C _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html 4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html GMAT Expert Manager Joined: 06 Sep 2018 Posts: 174 Location: Pakistan Concentration: Finance, Operations GPA: 2.87 WE: Engineering (Other) Re: To order certain plants from a catalog, it costs$3.00 per plant......  [#permalink]

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06 Sep 2018, 07:50
2
by subtracting the fix cost:
69.95-6.95=63
after deducting 5% sales tax:
63-0.05*63=60
price per plant=3
so total number of plants= 60/3 = 20

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Re: To order certain plants from a catalog, it costs $3.00 per plant...... [#permalink] ### Show Tags 14 Oct 2018, 09:04 nalinnair wrote: To order certain plants from a catalog, it costs$3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of$69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18

One of the questions that can be solved using back-solving

Pick answer choice C to be the number of plants.

20*3 = 60

60 * 5/100 = 3

60 + 3 + 6.95 = 69.95