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Question
In a business, A invests Rs 50000 for 6 months, B Rs 60000 for 4 months and C, Rs 80000 for 5 months. If they together earn Rs 18800 find the share of each.
Solution
A's 6 months investment = ₹50000
∴ A's 1 month investment
= ₹50000 x 6
= ₹300000
B's 4 months investment = ₹60000
∴ B's 1 month investment
= ₹60000 x 4
= ₹240000
C's 5 months investment = ₹80000
∴ C's 1 month investment
= ₹80000 x 5
= ₹400000
∴ Ratio between their investments
= 300000 : 240000 : 400000
= 30 : 24 : 40
Sum of ratios = 30 + 24 + 40 = 94
Total earnings = ₹18800
∴ A's share = `(30)/(94) xx 18800` = ₹6000
B's share = `(24)/(94) xx 18800` = ₹4800
C's share = `(40)/(94) xx 18800` = ₹8000.
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