Multiple choice

Rohan started a business with Rs. 3500 and after some months Ravi joins as his partner with Rs. 9000. At the end of the year the profit is divided between them in the ratio of 2 : 3. After how many months had Ravi joined the business? रोहन ने एक व्यवसाय 3500 रू. के साथ शुरू किया। कुछ महीनों के बाद रवि इसमें 9000 रू. के साथ शामिल हो जाता है। वर्ष के अंत में उनके बीच लाभ 2 : 3 के अनुपात में बांटा गया। रवि कितने माह बाद व्यवसाय में शामिल हुआ था?

  1. 5 months/5 मान

  2. 4 months/4 मान

  3. 6 months/6 मान

  4. 7 months/7 मान

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A Correct answer
Explanation

Rohan's investment: Rs. 3500 for 12 months = 42000 month-rupees. Ravi joins after n months with Rs. 9000 for (12-n) months = 9000(12-n). Profit ratio 2:3 means 42000 : 9000(12-n) = 2 : 3. Simplifying: 42 : 9(12-n) = 2 : 3. Cross-multiply: 42 × 3 = 2 × 9(12-n). 126 = 18(12-n). 7 = 12 - n. n = 5. Ravi joined after 5 months.