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# A shopkeeper buys two printers A and B. Had the shopkeeper paid the

Author Message
Manager
Joined: 25 Dec 2018
Posts: 230
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)

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24 Mar 2019, 00:36
1
00:00

Difficulty:

65% (hard)

Question Stats:

45% (02:34) correct 55% (02:48) wrong based on 22 sessions

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A shopkeeper buys two printers A and B. Had the shopkeeper paid the full price of both printers, they would have cost the same to him. However, he buys printer A with a down payment of 10 percent of the cost of printer A and printer B with a down payment of 20 percent of the cost of printer B and repays the remaining cost and the individual finance charges of the printers A and B over a period of time. The finance charges for printers A and B are equal to 40 percent of the remainder of the cost of printer A and y percent of the remainder of the cost of Printer B respectively. What should be the value of y so that the cost of buying the two printers is equal for the shopkeeper?

A. 40%
B. 45%
C. 50%
D. 55%
E. Cannot be determined
CEO
Joined: 18 Aug 2017
Posts: 3016
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

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24 Mar 2019, 09:12
1
very descriptive question; I spent ~ 1 min to just understand question..

anyways my takeaway below

let cost of each printer A&B = 100$each so downpayment made for A = 10% ; 10$ balance left ; 90$downpayment of B= 20% ; 20$ ; balance ; 80$finance charges of A ; .4*90 ; 36$ and of B ; y/100 * 80 ; .8y
so total amount paid by trader for A
90+10+36 = 136\$ for A and for B ; 20+80+.8y
now we need to find value of y considering that both prices are same
so.
136 = 100+.8y
36=.8y
y=45
so value of printer assumed was 100% ; and y = 45 % of its cost
IMO B

mangamma wrote:
A shopkeeper buys two printers A and B. Had the shopkeeper paid the full price of both printers, they would have cost the same to him. However, he buys printer A with a down payment of 10 percent of the cost of printer A and printer B with a down payment of 20 percent of the cost of printer B and repays the remaining cost and the individual finance charges of the printers A and B over a period of time. The finance charges for printers A and B are equal to 40 percent of the remainder of the cost of printer A and y percent of the remainder of the cost of Printer B respectively. What should be the value of y so that the cost of buying the two printers is equal for the shopkeeper?

A. 40%
B. 45%
C. 50%
D. 55%
E. Cannot be determined

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Intern
Status: when you say,"I can or I can't", Both times you are right!
Joined: 26 Nov 2018
Posts: 31
Location: India

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24 Mar 2019, 09:30
mangamma wrote:
A shopkeeper buys two printers A and B. Had the shopkeeper paid the full price of both printers, they would have cost the same to him. However, he buys printer A with a down payment of 10 percent of the cost of printer A and printer B with a down payment of 20 percent of the cost of printer B and repays the remaining cost and the individual finance charges of the printers A and B over a period of time. The finance charges for printers A and B are equal to 40 percent of the remainder of the cost of printer A and y percent of the remainder of the cost of Printer B respectively. What should be the value of y so that the cost of buying the two printers is equal for the shopkeeper?

A. 40%
B. 45%
C. 50%
D. 55%
E. Cannot be determined

Assume the prices for both printers are 100 for each

10% for printer A: 90 remaining
40% of 90 = 36

New cost for printer 136.00

After paying 20% for Printer B: 80 remaining

we need to make the cost equal for both printers (136.00)

The question asks 36 is what % of the remaining 80.

y = (36x100)/80
= 45%

Thanks = Kudos
Manager
Joined: 10 Oct 2018
Posts: 172
Location: United States
GPA: 4
WE: Human Resources (Human Resources)

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24 Mar 2019, 10:25
1
Let the cost of A and B be 100

Total amount paid by seller A:
Down-payment (10% of cost) = 10
+ Balance = 90
+ Finance Charges (40% of remainder) = 36
Total amount paid (A) = 136............eq(1)

Similarly for B:
Down-payment (20% of cost) = 20
+ Balance = 80
+ Finance Charges (y% of remainder) = 0.8y
Total amount paid (B) = 100+ 0.8y............eq(2)

Now we gotta find the value of y so that the cost of buying the two printers is equal for the shopkeeper => Cost of A=Cost of B
Keeping this line in mind, equate eq (1) and (2):
136=100+0.8y
y=$$\frac{36}{0.8}$$
Therefore, y=45
_________________
Re: A shopkeeper buys two printers A and B. Had the shopkeeper paid the   [#permalink] 24 Mar 2019, 10:25
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