Fatima, Shreya, and Smita started a business by investing total ₹ 6,000. After a year, Fatima, Shreya, and Smita get profit shares of ₹ 50, ₹ 100, and ₹ 150 respectively. Smita invested in this business:
(a) ₹ 1,000
(b) ₹ 2,000
(c) ₹ 3,000
(d) ₹ 4,000
WBBSE
Class X
Mathematics
Partnership
01 Mark
2022
(c) ₹ 3,000
Explanation:
Ratio of profit = 50 : 100 : 150
= 1 : 2 : 3
So, Capitals = 1x : 2x : 3x
Sum of ratio = 1x + 2x + 3x = 6x
or, 6x = 6000
or, x = 1000
∴ Smita’s capital = 3x = 3000
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