## Arithmatical - Partnership

DIRECTIONS : Problems based on Partnership.
13. A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000 while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of 3 years? A.  2 : 3 : 5 B.  3 : 4 : 7 C.  4 : 5 : 9 D.  None of these
Solution
A : B: C =(40000×36) : (80000×12+40000×24) : (120000×24+40000×12) =144 :192 :336 = 3 : 4 : 7.
14. A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital? A.  Rs.7500 B.  Rs.8000 C.  Rs.8500 D.  Rs.9000
Solution
Let B's capital be Rs.x. Then, 3500×12 ⁄ 7x =2⁄3 ‹=›14x = 126000 x = 9000.

15. A, B, C hired a car for Rs.520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were A.  Rs.140 B.  Rs.160 C.  Rs.180 D.  Rs.220
Solution
A : B : C = 7 : 8 : 11. = Rs(520×8/26) = Rs.160.
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