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From a sample of 200 software engineers, determine the ratio of those proficient in Python to those proficient in Java using the given information.

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From a sample of 200 software engineers, determine the ratio of those proficient in Python to those proficient in Java using the given information.

CategoryNumber
Proficient in Python and Java50
Proficient in Python only70
Proficient in Java only60
Proficient in neither language20

200 सॉफ्टवेयर इंजीनियरों के नमूने से, दी गई जानकारी के आधार पर Python में दक्ष और Java में दक्ष इंजीनियरों का अनुपात ज्ञात कीजिए।

श्रेणीसंख्या
Python और Java दोनों में दक्ष50
केवल Python में दक्ष70
केवल Java में दक्ष60
किसी भी भाषा में दक्ष नहीं20

Options / विकल्प

A. 11 : 12

B. 12 : 11

C. 7 : 6

D. 6 : 7


Answer / उत्तर

12 : 11


Solution / समाधान

Shortcut Trick / शॉर्टकट ट्रिक

To find the total number proficient in each language, add those who know only that language and those who know both languages.

प्रत्येक भाषा में दक्ष कुल व्यक्तियों की संख्या ज्ञात करने के लिए, केवल उस भाषा को जानने वालों तथा दोनों भाषाएँ जानने वालों को जोड़ें।

Python Proficient / Python में दक्ष

70+50=12070 + 50 = 120

Java Proficient / Java में दक्ष

60+50=11060 + 50 = 110

Required Ratio / वांछित अनुपात

120:110120 : 110

Divide both terms by 10:

12:1112 : 11

Final Answer / अंतिम उत्तर

12:11\boxed{12:11}

Correct Answer / सही उत्तर: 12 : 11


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