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A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 04:11
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47% (02:48) correct 53% (02:28) wrong based on 62 sessions
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Competition Mode Question A company makes and sells two products, A, and B. The costs per unit of making and selling A and B are $8.00 and $9.50, respectively, and the selling prices per unit of A and B are $10.00 and $12.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000? (1) During the month, more units of A than units of B were sold. (2) During the month, at least 100 units of B were sold.
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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 05:23
Given: COP SP # Profit(Rs/pc) A> 8$ 10$ x 2$ B> 9.5$ 12$ y 2.5$
x+y=834
Q: is 2x+2.5y>2000?
St 1: x>y max value of x=833 therefore value of y=1 2x+2.5y=833*2+2.5*1=1666+2.5=1668.5. No max value of y=416 therefore value of x=418 2x+2.5y=418*2+416*2.5=836+832+208=1876.No
Either way answer is No. sufficient
2)y>100 let's say min value of y=100, then x=734 2x+2.5y=1468+250=1710<2000. no lets say max value of y=833, then x=1 2x+2.5y=2*1+833*2.5=2+1666+416.5>2000. yes Insufficient.
Ans:A



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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 10:04
2a+2.5b value greater/lesser than 2000? For 834units
1.During the month, more units of A than units of B were sold.
If we consider
2*833+1*2.5=1668.5...so it can never be >2000 2*418+2.5*416<2000
So its sufficient
(2) During the month, at least 100 units of B were sold.
If b=100 then 734*2+100*2.5<2000
But If b=800 then 34*2+800*2.5>2000
Insufficient
So OA:A
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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 14:14
Let's assume the nos. of product A is a and nos. of product B is b.
From the given info,
Net profit = 2a + 2.5b And, a+b = 834
1) a>b In this case minimum possible value of a = 418 => b = 416 => net profit = 836 + 1040 < 2000
And max. value of a = 833 => b = 1 => net profit = 1666 + 2.5 < 2000
Therefore, option 1 alone is sufficient.
2) b >= 100
If we take minimum value of b = 100, Then a = 734 And net profit = 1468 + 250 < 2000
And if we take max possible value of b = 833, Then a = 1 And net profit = 2.5 x 833 + 2 x 1
Although we can calculate the above expression but there is no need to do so since we know that 800x2.5 = 2000. Therefore above expression is greater than 2000.
Since in one case of option 2) we are getting a value less than 2000 and in another case we are getting a value more than 2000 therefore this option alone is not sufficient enough.
Answer is (A)
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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 15:57
(10A —8A) + (12B —9.5B) > 2000 2A+ 2.5B > 2000
—> A+ 1.25B > 1000 ??? —> A+ B= 834
A = 834 —B 834 —B +1.25B > 1000 0.25*B > 166 B > 166/0.25= 664 —> B >664 ???
B= 834 —A 834 —A> 664 A < 170 ???
(Statement1): A> B —>( always No)
Sufficient
(Statement 2) B >100 Clearly insufficient
The answer is A .
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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 16:49
A is my answer.
Prompt Profit from product A= $2.00 per unit Profit from product B= $2.50 per unit
Three situations here: 1. If the average profit is $ 2.25 per unit, # of product A sold=# of product B sold. 2. If the average profit is LESS than $ 2.25 per unit, # of product A sold># of product B sold. 3. If the average profit is GREATER than $ 2.25 per unit, # of product A sold<# of product B sold.
The question asks: is Average profit GRATER than 2000/834 (or almost 2.40 which is greater than $2.25)? in other words, is the NUMBER of Product B sold is GREATER than the NUMBER of Product A sold?. The third situation above.
Statement 1 Sufficiently says NO to the answer. Statement 2 is NOT SUFFICIENT A=734, B=100 [No to main question] A=1, B=733 [YES to main question]



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Re: A company makes and sells two products, A, and B. The costs per unit
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02 Nov 2019, 01:33
Profit on each item of A = 10  8 = $2 Profit on each item of B = 12  9.5 = $2.5
(1) During the month, more units of A than units of B were sold.
Profit when A & B are sold equally = 834/2*2 + 834/2*2.5 = 834 + 1042.5 = $1876.5
If A is sold more, Profit will decrease as the profit on A is less than that of B Eg: If all items sold are A, Profit = 834*2 = $1668
So, we can clearly say that Profit can never be more than $2000 if A > B > A definite NO > Sufficient
(2) During the month, at least 100 units of B were sold. > Number of B units sold will lie between 100 & 834, inclusive
Case 1: B = 100 & A = 734 > Profit = 734*2 + 100*2.5 = 1468 + 250 = $1718 (< $2000)
Case 2: B = 834 & A = 0 > Profit = 0*2 + 834*2.5 = 0 + 2085 = $2085 (> $2000)
Two outcomes are possible > Insufficient
IMO Option A



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Re: A company makes and sells two products, A, and B. The costs per unit
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03 Nov 2019, 16:08
Quote: A company makes and sells two products, A, and B. The costs per unit of making and selling A and B are $8.00 and $9.50, respectively, and the selling prices per unit of A and B are $10.00 and $12.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000?
(1) During the month, more units of A than units of B were sold. (2) During the month, at least 100 units of B were sold. cost(A;B)=8;9.50 price(A;B)=10;12 profit(A;B)=2;2.5 a+b=834… a=834b 2a+2.5b>2000 2(a+b)+0.5b>2000 a+b+0.25b>1000 (834b)+b+0.25b>1000 0.25b>166…b>166/0.25… find if b>664 is true; (1) During the month, more units of A than units of B were sold. sufic.a>834/2…a>417…b<417 ie. B=660…A=834660=174 2(174)+2.5(660)>2000?…348+1650>2000?…1998>2000? no B=664…A=834664=170 2(170)+2.5(664)>2000?…340+1660>2000?…2000>2000? no B=665…A=834665=169 2(169)+2.5(665)>2000?…yes (2) During the month, at least 100 units of B were sold. insufic.Answer (A)



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A company makes and sells two products, A, and B. The costs per unit
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Updated on: 04 Nov 2019, 01:10
given CP of A&B and SP of A&B net price gain of A&B ; 108 ; 2$ and 129.5 ; 2.5 $ total units sold ; 834 = A+B
#1 During the month, more units of A than units of B were sold. A+B=834 2*833+2.5*1 = 1668.5 NO at max of A ; so answer will be NO sufficient
#2 During the month, at least 100 units of B were sold B>=100 so A can be atleast 734 profit ; 100* 2.5+ 734 * 2 = $1718 NO 734*2.5+100*2 = 2035$ YES insufficient IMO A
A company makes and sells two products, A, and B. The costs per unit of making and selling A and B are $8.00 and $9.50, respectively, and the selling prices per unit of A and B are $10.00 and $12.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000?
(1) During the month, more units of A than units of B were sold. (2) During the month, at least 100 units of B were sold.
Originally posted by Archit3110 on 01 Nov 2019, 06:29.
Last edited by Archit3110 on 04 Nov 2019, 01:10, edited 1 time in total.



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A company makes and sells two products, A, and B. The costs per unit
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Updated on: 04 Nov 2019, 05:26
A+B= 834eqn 1 is 10A+12B8A9.5B>2000? 2A2.5B>2000?eqn 2 (1) During the month, more units of A than units of B were sold. A+B=834 let A= 418(least value of A) & B=416 yes (2A+2.5B>2000) option A is sufficient (2) During the month, at least 100 units of B were sold. A+B=834 B=100 A=734 734*2.5+100*2 = 2035 yes 734*2+ 100*2.5 =1718 no b is insufficient A is the correct answer
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Originally posted by sampriya on 01 Nov 2019, 06:37.
Last edited by sampriya on 04 Nov 2019, 05:26, edited 1 time in total.



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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 06:40
Is something wrong with the statement "The costs per unit of making and selling A and B are $8.00 and $9.50, respectively, and the selling prices per unit of A and B are $10.00 and $12.00, respectively" ??
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Re: A company makes and sells two products, A, and B. The costs per unit
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01 Nov 2019, 18:47
I would go for A.
How to calculate whether 2.25 is GREATER or LESS than 2000/834 ? 2.25..........................2000/834 834*2.25 ...................2000 [multiplying both by 8.34] =834*2+834/4 ...........2000 =1668+208...............2000 =1876 which is LESS than 2000.
than means 2.25 is LESS than 2000/834




Re: A company makes and sells two products, A, and B. The costs per unit
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