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  1. The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is
    1. 9 : 14
    2. 23 : 27
    3. 1 : 1
    4. 27 : 23
Correct Option: B

Given , Ratio = 3 : 2
Let Boys in the village = 3k
Girls in the village = 2k

Villagers who appeared in the examination =
3k × 30
+
2k × 70
100100

Villagers who appeared in the examination =
9k
+
14k
=
23k
101010

Villagers who did not appear in the examination =
3k × 70
+
2k × 30
100100

Villagers who did not appear in the examination =
21k
+
6k
=
27k
101010

∴ Required ratio =
23k
:
27k
= 23 : 27
1010



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