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28 Aug 2024, 06:28
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86% (02:18) correct
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In a study conducted on a sample of 360 economists, it was found that 75 percent of the economists had investment in stocks and 40 percent had investment in bonds. If 15 percent of the sample did not have investments in either stocks or bonds, how many economists in the sample had investment in stocks but not in bonds?
(A) 108
(B) 120
(C) 126
(D) 162
(E) 180
(A) 108
(B) 120
(C) 126
(D) 162
(E) 180
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23 Oct 2024, 10:03
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| Stocks | No Stocks | TOT | |
| BONDS | 144 | ||
| No Bonds | X | 54 | 216 |
| TOT | 270 | 90 | 360 |
216-54 =162=X
General Discussion
28 Aug 2024, 19:58
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Total economist who join investment = 360
stock = 0,75 x 360 = 270
bond = 0,4 X 360 = 144
Not doing investment = 0,15 x 360 = 54
Total sample of economist - economist who not doing investment = Total economist who join investment
360 - 54 = 306
Based on this formula S∪B=S+B−S∩B
investments in either stocks or bonds or both = investments in stocks + investments in bonds - iInvestment in both
306 = 270 + 144 - Investment in both
Investment in both = 108
as we just wanna find only investment in stock so,
270 - 108 = 162 ( D )
stock = 0,75 x 360 = 270
bond = 0,4 X 360 = 144
Not doing investment = 0,15 x 360 = 54
Total sample of economist - economist who not doing investment = Total economist who join investment
360 - 54 = 306
Based on this formula S∪B=S+B−S∩B
investments in either stocks or bonds or both = investments in stocks + investments in bonds - iInvestment in both
306 = 270 + 144 - Investment in both
Investment in both = 108
as we just wanna find only investment in stock so,
270 - 108 = 162 ( D )
