A shopkeeper bought three watches w1, w2 and w3 from a dealer and sold them to three different customers. The ratio of the selling prices of the watches w1, w2 andw3 was 2:3:4 . The shopkeeper gains 30% and 20% on the watches w1 and w2 respectively but loses 40% on the watch w3 . What was the shopkeeper's 'approximate percent gain or loss in the whole transaction?
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Answered by
2
Answer
15.9%
step by step explanation:
let s.p of three watches are 2x ,3x , 4x
c.p of w1= 100 × 2x/ 130 = 20x/13
c.p of w2 = 100 × 3x/120 = 30x/12
c.p of w3 = 100 × 4x/60 = 20x/3
total c.p = 20x/13 + 30x/12 + 20x/3
= 2( 10x/13 + 15x/12 + 10x/3)/156
= 2(120x + 195x + 520x)/156 = 835x /78
total s.p = 2x + 3x + 4x = 9x
loss on whole = (835x/78) - (9x)
= 133x/78
loss % = 133x/78 / 835x/78 * 100
= 13300/835 = 15.9% (approx)
Answered by
1
Answer:
sp=2x, 3x, 4x=Total = 9x
CP:
200x/130 +300x/120+400x/60
= (2400x+3900x+104oox) /
1560
= 10.705x
LOSS:10.705-9=1.705X
1.705Xx100/10.705=15.9%
%Loss=15.9%
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