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divya23: Master | Next Rank: 500 Posts; Posts: 113; Joined: Mon Apr 26, 2010 8:58 am; Thanked: 2 times; Followed by:14 members

word problem

by divya23 » Thu Jun 02, 2011 9:07 pm

shipments no of defective chips in shipment total no of chips in shipment
s1 2 5000
s2 5 12000
s3 6 18000
s4 4 16000
a computer chip manufactures expects the ratio of number of defective chips to the total number of chips to equal the corresponding ratio for shipments s1,s2,s3,s4 combined what is the expected number of defective chips in a shipment of 60000 chips
14
20
22
24
25
i cud not get the stmnt corresponding ratio for shipments s1,s2,s3,s4 combined what is the expected number of defective chips in a shipment of 60000 chips

plz help

oa = 20

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Source: Beat The GMAT — Problem Solving | Thu Jun 02, 2011 9:07 pm

GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Thu Jun 02, 2011 9:15 pm

divya23 wrote:shipments no of defective chips in shipment total no of chips in shipment
s1 2 5000
s2 5 12000
s3 6 18000
s4 4 16000
a computer chip manufactures expects the ratio of number of defective chips to the total number of chips to equal the corresponding ratio for shipments s1,s2,s3,s4 combined what is the expected number of defective chips in a shipment of 60000 chips
14
20
22
24
25
i cud not get the stmnt corresponding ratio for shipments s1,s2,s3,s4 combined what is the expected number of defective chips in a shipment of 60000 chips

plz help

oa = 20

Total no. of shipments = 5000 + 12000 + 18000 + 16000 = 51000
Total no. of defective chips = 2 + 5 + 6 + 4 = 17
Let x be the expected number of defective chips in a shipment of 60000 chips.
Then 17:51000 = x:60000
x = 20

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 am; Location: India; Thanked: 310 times; Followed by:123 members; GMAT Score:750

by cans » Thu Jun 02, 2011 9:18 pm

Total no. of shipments = (5+12+18+16)*1000 = 51000
total no. of defective chips = 2+5+6+4 = 17
Given that the ratio of defective:total remains same
thus ratio = 17:51000 = 1:3000
It mean in 3000 chips, 1 chip is defective
in 60,000 chips , 1*60,000/3,000 = 20 chips are defective

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