In a survey of 120 households, 70 are doing homemake business, 50 are doing agriculture business and 30 are doing other work. Sets of households doing homemake and agriculture business are denoted by H and A respectively. Find the cardinality notation of households doing neither of these businesses, represent the information in a venn-diagram, find the number of households doing only one business and find the ratio of homemake and agriculture business households if 10 households doing other work start homemake business.

Mathematics
In a survey of 120 households, 70 are doing homemake business, 50 are doing agriculture business and 30 are doing other work. Sets of households doing homemake and agriculture business are denoted by H and A respectively. Find the cardinality notation of households doing neither of these businesses, represent the information in a venn-diagram, find the number of households doing only one business and find the ratio of homemake and agriculture business households if 10 households doing other work start homemake business.

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प्रश्न १

a) शौचालय नभएका घरपरिवारको संख्या:

शौचालय नभएका घरपरिवारको संख्या = ३०%३०\% को ५००५००

=३०१००×५००= \frac{३०}{१००} \times ५०० =०.३×५००= ०.३ \times ५०० =१५०= १५०

१५० घरपरिवार

b) शौचालय भएका घरपरिवारको संख्या:

शौचालय भएका घरपरिवारको संख्या = ७०%७०\% को ५००५००

=७०१००×५००= \frac{७०}{१००} \times ५०० =०.७×५००= ०.७ \times ५०० =३५०= ३५०

३५० घरपरिवार

c) शौचालय नभएका घरपरिवारको प्रतिशत:

३०%\boxed{३०\%}

d) शौचालय भएका घरपरिवारको प्रतिशत:

७०%\boxed{७०\%}

प्रश्न २

साधारण ब्याजको सूत्र: I=P×R×T१००I = \frac{P \times R \times T}{१००} (जहाँ TT वर्षमा)

पहिलो भाग: P=२००००P = २०००० रुपैयाँ, R=१०%R = १०\%, T=६१२=०.५T = \frac{६}{१२} = ०.५ वर्ष

I=२००००×१०×०.५१००I = \frac{२०००० \times १० \times ०.५}{१००} =२००००×५१००= \frac{२०००० \times ५}{१००} =१०००००१००= \frac{१०००००}{१००} =१०००= १०००

१००० रुपैयाँ

दोस्रो भाग: P=२००००P = २०००० रुपैयाँ, R=१४%R = १४\%, T=३१२=०.२५T = \frac{३}{१२} = ०.२५ वर्ष

I=२००००×१४×०.२५१००I = \frac{२०००० \times १४ \times ०.२५}{१००} =२००००×३.५१००= \frac{२०००० \times ३.५}{१००} =७००००१००= \frac{७००००}{१००} =७००= ७००

७०० रुपैयाँ

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