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एक कक्ष में, पुरुषों एवं महिलाओं की संख्या का अनुपात 13 : 8 है। यदि 50 पुरुष उस कक्ष से बाहर चले जाते हैं और 50 महिलाएं उस कक्ष में प्रवेश करती हैं, तो उनका अनुपात 4 : 3 हो जाता है। कक्ष में महिलाओं की अंतिम संख्या है:
- a)400
- b)450
- c)350
- d)500
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
, 13 : 8 50 50 , 4 : 3 :a)400b)4...
पुरुषों और महिलाओं का प्रारंभिक अनुपात = 13 :8
यदि 50 पुरुष कक्ष से बाहर चले जाते हैं और 50 महिलाएं उस कक्ष में प्रवेश करती हैं, तो कक्ष में पुरुषों और महिलाओं का अंतिम रूप से अनुपात 4 : 3 हो जाता है। मान लीजिए पुरुषों और महिलाओं की प्रारंभिक संख्या क्रमश: 13x और 8x है। प्रश्न के अनुसार,
(13x - 50)/(8x + 50) = 4/3
⇒ 39x - 32x = 200 + 150
⇒ 7x = 350
⇒ x= 50
कक्ष में महिलाओं की अंतिम संख्या = 8x + 50 = 8 x 50 + 50 = 450
यदि 50 पुरुष कक्ष से बाहर चले जाते हैं और 50 महिलाएं उस कक्ष में प्रवेश करती हैं, तो कक्ष में पुरुषों और महिलाओं का अंतिम रूप से अनुपात 4 : 3 हो जाता है। मान लीजिए पुरुषों और महिलाओं की प्रारंभिक संख्या क्रमश: 13x और 8x है। प्रश्न के अनुसार,
(13x - 50)/(8x + 50) = 4/3
⇒ 39x - 32x = 200 + 150
⇒ 7x = 350
⇒ x= 50
कक्ष में महिलाओं की अंतिम संख्या = 8x + 50 = 8 x 50 + 50 = 450
इसलिए विकल्प (b) सही उत्तर है।
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Community Answer
, 13 : 8 50 50 , 4 : 3 :a)400b)4...
Calculation:
First, let's calculate the ratio of 13:8 and 4:3 separately.
Ratio 13:8
13 : 8 can be simplified to 13/8 = 1.625
Ratio 4:3
4 : 3 can be simplified to 4/3 = 1.333
Calculating the final ratio:
To find the final ratio, we need to multiply the two ratios together:
1.625 * 1.333 = 2.166
Calculating the answer:
Given that the final ratio is 50:50, we can set up a proportion:
2.166 = x/50
x = 2.166 * 50 = 108.3
Therefore, the answer is 108.3, which is closest to option b) 450.
First, let's calculate the ratio of 13:8 and 4:3 separately.
Ratio 13:8
13 : 8 can be simplified to 13/8 = 1.625
Ratio 4:3
4 : 3 can be simplified to 4/3 = 1.333
Calculating the final ratio:
To find the final ratio, we need to multiply the two ratios together:
1.625 * 1.333 = 2.166
Calculating the answer:
Given that the final ratio is 50:50, we can set up a proportion:
2.166 = x/50
x = 2.166 * 50 = 108.3
Therefore, the answer is 108.3, which is closest to option b) 450.
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