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26 Nov 2018, 02:13
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D
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Difficulty:
35%
(medium)
Question Stats:
64% (01:09) correct
36%
(01:17)
wrong
based on 190
sessions
History
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Time
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Not Attempted Yet
The cost price of 10 articles is equal to the selling price of 8 articles. The gain or loss percent is :
(A) Loss 25%
(B) Loss 20%
(C) Gain 20%
(D) Gain 25%
(E) Gain 30%
(A) Loss 25%
(B) Loss 20%
(C) Gain 20%
(D) Gain 25%
(E) Gain 30%
If 8 articles were sold at the cost price of 10 articles, find gain or loss percent.
vaibhav1221
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Schools: IIMA '25 (A) Columbia CBS'26 (D) Fuqua '26 (D) ISB '25 (WL) Darden '26 (D) Kenan-Flagler '26 (WL)
GMAT 1: 710 Q49 V38
Posts: 299
26 Nov 2018, 02:20
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Bunuel
The cost price of 10 articles is equal to the selling price of 8 articles. The gain or loss percent is :
(A) Loss 25%
(B) Loss 20%
(C) Gain 20%
(D) Gain 25%
(E) Gain 30%
(A) Loss 25%
(B) Loss 20%
(C) Gain 20%
(D) Gain 25%
(E) Gain 30%
If 8 articles were sold at the cost price of 10 articles, find gain or loss percent.
Let the cost price per article be \(x\)
Let the selling price per article be \(y\)
Assume \(10x = 8y = 100\)
\(10x = 100\)
\(x = 10\)
\(8y = 100\)
\(y = 12.5\)
\(10 → 12.5\)
\(25\)% Gain
Hence, D.
26 Nov 2018, 03:57
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I solved in the following way
(10) C.P. = (8) S.P. .......(I)
or \(\frac{S.P}{C.P}\) = \(\frac{10}{8}\) ........(II)
clearly from 1 we have S.P. for 10 items will be more than C.P for 10 items hence there will be gain.
Gain % = \(\frac{(SP-CP)}{CP}\) * 100
or = \((\frac{SP}{CP} -1)\) *100
from equation (II) we have
= \((\frac{10}{8}-1)\)*100
= 25%
OPTION D is correct choice
(10) C.P. = (8) S.P. .......(I)
or \(\frac{S.P}{C.P}\) = \(\frac{10}{8}\) ........(II)
clearly from 1 we have S.P. for 10 items will be more than C.P for 10 items hence there will be gain.
Gain % = \(\frac{(SP-CP)}{CP}\) * 100
or = \((\frac{SP}{CP} -1)\) *100
from equation (II) we have
= \((\frac{10}{8}-1)\)*100
= 25%
OPTION D is correct choice
