A B and C are three partners in a business A whose money has been1 used for 4 months claims 1 8 of t...........

Quantitative Aptitude ( CCS) Partnership

A, B and C are three partners in a business, A, whose money has been1. used for 4 months, claims 1/8 of the profit, B whose money has been used for 6 months, claims 1/3 of the profit. C had invested Rs. 1560 for 8 months. How much money did A and B contribute ?

740,1250

730,1240

720,1280

750,1260

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Explanation:

Let total profit = 24 units
Profit of A = 1/8×24 = 3 units
Profit of B = 1/3×24 = 8 units
A : B : C
Capital → x : y : 1560
Time → 4 : 6 : 8
Profit → 3 : 8 : 13 [24-(8+3)]
we know,
Capital × time = profit
Profit /time = Capital
∴ 13/8 units = 1560
1 unit = Rs. 960
y = 960 × 8 / 6
y = Rs. 1280
x = 3/4×960 = Rs. 720
Capital of A = Rs. 720
Capital of B = Rs. 1280