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A, B, and C are partners. A invested Rs. 4,50,000 in business for 't' months. B invested Rs. 2,00,000 for 5 months less than the period invested by A and C invested Rs. 6,00,000 for 3 months less than the period invested by B. Their profit sharing ratio is 27 : 7 : 12. Find the number of months for which each partner has invested in the business respectively.1. 12; 7 and 4 months2. 12; 6 and 6 months3. 12; 7 and 5 months4. 12; 8 and 3 months5. 12; 9 and 7 months |
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Answer» Correct Answer - Option 1 : 12; 7 and 4 months Given: Amounted invested by A = Rs. 4,50,000 Amount invested by B = Rs. 2,00,000 Amount invested by C = Rs. 6,00,000 Calculation: 4,50,000(t) : 2,00,000(t – 5) : 6,00,000(t – 5 – 3) = 27 : 7 : 12 ⇒ [(450,000 t/(2,00,000)( t – 5)] = 27/7 ⇒ [(9t/ 4t – 20)] = 27/7 ⇒ 63t= 108t - 540 t = 12 months B invested for 7 months [(i.e. 12 – 5)] C invested for 4 months [(i.e. 12 – 5– 3)]
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