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kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Last visit: 27 Jul 2022
Posts: 706
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
01 May 2019, 09:12
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
65% (03:40) correct
35%
(03:41)
wrong
based on 364
sessions
History
Date
Time
Result
Not Attempted Yet
Rafael spent his pocket money of $150 to buy three different articles A, B and C from the same shopkeeper. Rafael used 30 percent of his pocket money to buy article A, which was discounted by 10 percent, 30 percent of his pocket money to buy article B, which was discounted by 25 percent and the rest of the money to buy article C, which was discounted by 50 percent. If articles A, B and C were marked up by 25 percent, 100 percent and 140 percent respectively, what was the percentage profit made by the shopkeeper on selling the articles?
A. 20%
B. 25%
C. 30%
D. 33%
E. 40%
A. 20%
B. 25%
C. 30%
D. 33%
E. 40%
02 May 2019, 09:40
Kudos
Bookmarks
30% of pocket money to purchase article A = 30/100*150 = 45$. Which was discounted by 10%
Marked Price = 90/100*A = 45 = 50$
30% of pocket money to purchase article B = 30/100*150 = 45$. Which was discounted by 25%
Marked Price = 75/100*B = 45 = 60$
60$ to purchase article C
Marked Price = 50/100*C = 60$ = 120$.
A was marked by 25%, means 125/100*A = 50$, CP of A = 40$
B was marked by 100%, means 200/100*B = 60$, CP of B = 30$
C was marked by 140%, means 240/100*C = 120$, CP of C = 50$
CP = 40+30+50 = 120$
SP = 150$
Profit = 30/120*100 = 25%
B is the answer.
Marked Price = 90/100*A = 45 = 50$
30% of pocket money to purchase article B = 30/100*150 = 45$. Which was discounted by 25%
Marked Price = 75/100*B = 45 = 60$
60$ to purchase article C
Marked Price = 50/100*C = 60$ = 120$.
A was marked by 25%, means 125/100*A = 50$, CP of A = 40$
B was marked by 100%, means 200/100*B = 60$, CP of B = 30$
C was marked by 140%, means 240/100*C = 120$, CP of C = 50$
CP = 40+30+50 = 120$
SP = 150$
Profit = 30/120*100 = 25%
B is the answer.
06 Apr 2020, 04:15
Kudos
Bookmarks
kiran120680
Solution:
- • SP of article A = \(\frac{30}{100}*150 = $ 45\)
- o MP of article A =\( 45*\frac{100}{90} = $ 50\) [Discount of 10% is given]
o CP of Article A = \(50*\frac{100}{125} = $ 40\) [MP is 25% above CP]
- o MP of article B = \(45*\frac{100}{75} = $ 60\) [Discount of 25% is given]
o CP of article B = \(60*\frac{100}{200} = $ 30\) [MP is 100% above CP]
- o MP of article C = \(60*\frac{100}{50} = $ 120\) [Discount of 50% is given]
o CP of article C = \(120*\frac{100}{240} = $ 50\) [MP is 140% above CP]
• Profit = SP -CP = \(150 – 120 = $30\)
- o Profit % =\( \frac{30}{120}*100 = 25 \%\)
