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18 Feb 2020, 03:43
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
70% (01:15) correct
30%
(01:12)
wrong
based on 134
sessions
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Were the total sales of company Y in 1992 greater than the total sales of company Y in 1987?
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
18 Feb 2020, 05:41
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Bunuel
Were the total sales of company Y in 1992 greater than the total sales of company Y in 1987?
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
Solution
Step 1: Analyse Question Stem
- • Let the company Y’s total sales in year 1987 be x and that in year 1992 be y.
• We need to find if \(y > x\)
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
- • Sales in year 1988 = \(x* (1 + \frac{1.2}{100}) = x*1.012\)
Hence, statement 1 is not sufficient and we can eliminate answer options A and D.
Statement 2: In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
- • Let the sales of company Y in 1988 is z, then
- o Sales in 1989 \(= z*(1-\frac{0.5}{100}) = z*0.995\)
o Hence, Sales in 1992 or \(y = z*0.995*0.995*0.995*0.995 = z*(0.995) ^4\)
Hence, statement 2 is also not sufficient and we can eliminate answer B.
Step 3: Analyse Statements by combining.
- • From statement 1: sales in 1988 \(= x*1.012\)
• From statement 2: sales in 1992, \(y = z*(0.995)^4\), where z is sales in 1988
• On combining both the statement, we get,
- o \(z = x*1.012\)
- thus, \(y = x*1.012*(0.995) ^4 \)
Thus, the correct answer is Option C.
18 Feb 2020, 08:44
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Bunuel
Were the total sales of company Y in 1992 greater than the total sales of company Y in 1987?
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
(1) In 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
(2) In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
is sale 1992>1987
#1
n 1988, the total sales of company Y increased by 1.2% over the total sales in 1987.
1987 = x and 1988 ; 1.2/100 * x + x
insufficient
#2
In each year from 1989 to 1992, the total sales of company Y decreased by 0.5% from the previous year.
value of 1988 & 1987 not know
insufficient
from 1 &2
we know 1987 & 1988 values so for 1989 to 1992 the value of sales is ( .95)^4 * ( sales of 1988)
sufficient
IMO C
