There are 650 candidates from five different states to participate in a competition from state 1 the number of candidates is 12% of the total candidates. From state 2 the other one fifth of the total candidates. There are 8% of total candidates from state 3. The number of candidates from state 4 and state 5 is equal.
(i) How many candidates participated from state 4?
(ii) what is the ratio between the number of candidates from state 2 and state 3?
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Answer:
I) 290
ii) 5:1
Step-by-step explanation:
Given,
Total number of candidates =650
number of candidates from state 1= 12/100 * 650= 78
number of candidates from state 2= 1/5 * 650=130
number of candidates from state 3= 8/100 * 650=62
Let the number of candidates from state 4 and 5 be x.
I) Therefore,
78+130+62+x+x = 650
270 + 2x = 650
2x = 650-270
x= 380/2
x= 290
So, the number of participants from state 4 is 290
ii) Ratio between the numbers of candidates from state 2 and 3=130/62=5/1 =5:1
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