# Suhas and Nitin invested some money in a business in the ratio 8 : 3, but Suhas withdrew his money after a few months. If the end - of - twelve - mont

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Suhas and Nitin invested some money in a business in the ratio 8 : 3, but Suhas withdrew his money after a few months. If the end - of - twelve - months' profit was shared be Suhas and Nitin in the ratio 5 : 4, for many months did Nitin alone invest?
1. $5 \frac{5}{8}$
2. $6 \frac{3}{8}$
3. $5\frac{3}{8}$
4. $6 \frac{5}{8}$

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Correct Answer - Option 2 : $6 \frac{3}{8}$

Given:

Suhas and Nitin invested money in a ratio = 8 : 3

Concept used:

Partnership = Investment × time

Calculation:

Let Suhas invested money for months be 't'.

⇒ (8 × t) : 3 × 12 = 5 : 4

⇒ 32t = 180

⇒ t = 180/32

Nitin invested alone

⇒ 12 - 180/32

⇒ $6 \frac{3}{8}$

∴ Nitin invested the money alone for $6 \frac{3}{8}$.