If the investments of A B and C in third quarter were changed and were now in the ratio 2 4 1 other ...........

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.

If the investments of A, B and C in third quarter were changed and were now in the ratio 2 : 4 : 1 (other investments being the same), then what would be the total investment of all three in third quarter, if the average investment of A, B, and C was Rs. 3100 for whole year?

Rs. 700

Rs. 800

Rs. 500

Rs. 900

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.
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.
Let the new investments of A, B, C were Rs. 2z, Rs. 4z, and Rs. z respectively.
Investment of A = Rs. (800 + 3x + 2z), B = (1600 + 12x + 4z) and C = (2000 + 6x + z)
Given:
(2000 + 2x + 3y) = 1400 + (800 + x + 3y)
⇒ x = 200
After putting, x = 200
Investment of A = 1400 + 2z, B = 4000 + 4z and C = 3200 + z
Now given,