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# Last week, bookshop A sold 20% less hardback books than bookshop B

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BSchool Forum Moderator
Joined: 29 Jan 2015
Posts: 1466
Location: India
WE: General Management (Non-Profit and Government)
Last week, bookshop A sold 20% less hardback books than bookshop B  [#permalink]

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24 Mar 2019, 06:32
00:00

Difficulty:

55% (hard)

Question Stats:

47% (01:35) correct 53% (02:33) wrong based on 17 sessions

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Last week, bookshop A sold 20% less hardback books than bookshop B and sold 120% more paperback books than bookshop B. If the total number of books sold be A is twice the total number of books sold by B, what is the ratio of number of hardback books sold by B to the ratio of number of paperback books sold by B?

(A) 5:6

(B) 6:5

(C) 3:2

(D) 6:1

(E) 1:6
Manager
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: Last week, bookshop A sold 20% less hardback books than bookshop B  [#permalink]

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24 Mar 2019, 10:41
rohan2345 wrote:
Last week, bookshop A sold 20% less hardback books than bookshop B and sold 120% more paperback books than bookshop B. If the total number of books sold be A is twice the total number of books sold by B, what is the ratio of number of hardback books sold by B to the ratio of number of paperback books sold by B?

(A) 5:6

(B) 6:5

(C) 3:2

(D) 6:1

(E) 1:6

AH = 0.8 BH
AP = 2.2 BP

AH + AP = 2 (BH + BP)
0.8BH + 2.2BP = 2BH + 2BP
0.2BP = 1.2BH
BP/BH = 0.2/1.2 = 1/6

Hence E is the correct answer.
Re: Last week, bookshop A sold 20% less hardback books than bookshop B   [#permalink] 24 Mar 2019, 10:41
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