Question : X, Y, and Z enter into a partnership. X invests some money at the beginning. Y invests thrice the amount of X after 4 months and Z invest double the amount of Y after 9 months from the beginning. If the annual gain is INR 4,50,000, then what is the share of Y?
Option 1: INR 2,00,000
Option 2: INR 1,50,000
Option 3: INR 1,00,000
Option 4: INR 3,00,000
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Correct Answer: INR 2,00,000
Solution : Let $x$ be the amount invested by X. Investment ratio = $x ×12 : 3x×8 : 6x×3$ = 12 : 24 : 18 = 2 : 4 : 3 Their investment ratio = Ratio of their profit share.= 2 : 4 : 3 Total gain = INR 450000 Share of Y = $\frac{4}{2+4+3}$ × 4,50,000 = 4 × 50,000 = INR 2,00,000 Hence, the correct answer is INR 2,00,000.
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Question : If (x + y) : (y + z) : (z + x) = 3 : 5 : 7 and (x + y + z) = 45, then what is the value of z?
Option 1: 18
Option 2: 30
Option 3: 27
Option 4: 20
Question : X sold a toy to Y at a profit of 50% and Y sold it to Z at a loss of 50%. If X purchased this toy for INR 12,000, then at what price did Z purchase this toy from Y?
Option 1: INR 7,580
Option 2: INR 8,500
Option 3: INR 8,000
Option 4: INR 9,000
Question : The cost price of a saree to a person X was INR 100. Person X sells the saree to Person Y at a profit of 10% and Person Y then sells it to Person Z at a loss of 10%. How much does person Z pay for the saree?
Option 1: INR 100
Option 2: INR 99
Option 3: INR 101
Option 4: INR 90
Question : A certain amount of money is divided among x, y, and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to:
Option 1: 14 : 12 : 13
Option 2: 15 : 12 : 16
Option 3: 10 : 9 : 12
Option 4: 12 : 10 : 11
Question : If X : Y = 2 : 3 and Y : Z = 6 : 7, then what is the value of (X + Z) : Y?
Option 1: 17 : 14
Option 2: 17 : 15
Option 3: 11 : 6
Option 4: 11 : 8
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