Find the total investment of A B and C ........

Quantitative Aptitude (SBI-PO) Case Studies

Direction: Study the information carefully and answer the questions that follow.
A, B and C started a business by investing Rs. 800, Rs. 1600 and Rs. 2000 respectively. In the second quarter, they invested amounts in the ratio 1 : 4 : 2. In the next quarter again, they invested amounts in the ratio 3 : 2 : 3. In the last quarter, the ratio of their investments were same as in the 2nd quarter. Also, in the last quarter, the respective amounts of A, B and C was double than the respective amounts invested in 2nd quarter. The total investment of C before 4th quarter was Rs 1400 more than that of A during the same duration. Also, ratio of B’s share in profit to total profit at the end of year was 66 : 153. Please note: All the investments were for one quarter only.

Find the total investment of A, B and C .

Rs 10,200

Rs 11,300

Rs 9,800

Rs 10,080

None of these

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Explanation:

Quarters mean 3 months each
Ratio of investments in 2nd quarter for A, B, C is in the ratio 1 : 4 : 2, so let amounts be Rs. x, Rs. 4x and Rs. 2x respectively.
Ratio of investments in 3rd quarter for A, B, C is in the ratio 3 : 2 : 3, so let amounts be Rs. 3y, Rs. 2y, Rs. 3y respectively.
In the last quarter, investments of A, B, C are double of that in the 2nd quarter, so amounts would be Rs. 2x, Rs. 8x, Rs. 4x respectively.
Given:
(2000 + 2x + 3y) = 1400 + (800 + x + 3y)
⇒ x = 200
Now ratio of profit share of A : B : C is
800 × 3 + x × 3 + 3y × 3 + 2x × 3 : 1600 × 3 + 4x × 3 + 2y × 3 + 8x × 3 : 2000 × 3 + 2x × 3 + 3y × 3 + 4x × 3
⇒ (800 + 3x +3y) : (1600 + 12x + 2y) : (2000 + 6x + 3y)
After putting x = 200, we get
1400 + 3y : 4000 + 2y : 3200 + 3y
ATQ,

⇒ y = 200
So now the total investment = (800 + 3x + 3y) + (1600 + 12x + 2y) + (2000 + 6x + 3y) = (4400 + 21x + 8y)
After putting x = 200 and y = 200, total investment = Rs 10,200