In a survey, it was shown that hindi and marathi are the only languages spoken in kothar village. In this village, one-tenth of the population speaks neither hindi nor marathi, one-fifth of the population can't speak marathi and three-seventh of the population can't speak hindi. In a literacy campaign, the people knowing neither of the languages in that village were taught either hindi or marathi in the ratio 4 : 3. After campaign, approximately what percentage of the villagers could speak hindi only.
Answers
15.7 % of the villagers could speak hindi only
Step-by-step explanation:
Let say Population = P
neither Speaks hindi nor marathi = P/10
can't speak marathi = P/5
Can Speak Marathi = P - P/5 = 4P/5
can't speak hindi = 3P/7
Can Speak Hindi = P - 3P/7 = 2P/7
Total = Speak hindi + speak Marathi - Speak Both + Speak neither
P = 2P/7 + 4P/5 - (Can speak Both) + P/10
=> Can speak Both = 13P/70
Can speak hindi only = 2P/7 - 13P/70 = (20P - 13P)/70
= 7P/70
= P/10
P/10 were taught either hindi or marathi in the ratio 4 : 3
Taught Hindi = (4/7) P/10 = 2P/35
could speak hindi only = P/10 + 2P/35 = 11P/70
percentage of the villagers could speak hindi only = 100 *(11P/70)/P
= 15.7 %
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