Question
βAβ, βBβ and βCβ started a business by
investing Rs. 4,000, Rs. 4,800 and Rs. 3,200, respectively. After 6 months, βBβ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 2,19,240, then the profit share of βCβ will be Rs. ______. The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true: I. 800, 60480 II. 1600, 62840 III. 2400, 65060Solution
For I: Ratio of the profits received by βAβ, βBβ and βCβ = (4000 Γ 12):{(4800 Γ 6) + (4000 Γ 6)}:(3200 Γ 12) = 10:11:8 Therefore, profit share of βCβ = 219240 Γ (8/29) = Rs. 60,480 Therefore, I is true. For II: Ratio of the profits received by βAβ, βBβ and βCβ = (4000 Γ 12):{(4800 Γ 6) + (3200 Γ 6)}:(3200 Γ 12) = 5:5:4 Therefore, profit share of βCβ = 219240 Γ (4/14) = Rs. 62,840 Therefore, II is true. For III: Ratio of the profits received by βAβ, βBβ and βCβ = (4000 Γ 12):{(4800 Γ 6) + (2400 Γ 6)}:(3200 Γ 12) = 10:9:8 Therefore, profit share of βCβ = 219240 Γ (8/27) = Rs. 65,060 Therefore, III is false. Hence, Only I and II follows
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II. 209yΒ² + 13y - 12 = 0
I. 8xΒ² - 74x + 165 = 0
II. 15yΒ² - 38y + 24 = 0
I. 17xΒ² - 26x β 16 = 0
II. 17yΒ²- 26y + 9 = 0
I. x2 + (9x/2) + (7/2) = - (3/2)
II. y2 + 16y + 63 = 0
I.β(3x-17)+ x=15
II. Β y+ Β 135/y=24Β
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
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