The ratio of the profits of P and Q is 5 8 What is their investment ratio if their investment time p...........

Quantitative Aptitude (CGL) Profit and loss

The ratio of the profits of P and Q is 5: 8. What is their investment ratio, if their investment time period ratio is 3: 5?

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SSC CGL 18th April 2022 Shift-2

13 : 25

12 : 25

24 : 25

25 : 24

- Profit ratio of P to Q is 5:8.

- Let their investments be P and Q, and time periods 3x and 5x respectively (as per the ratio 3:5).

- Profit is directly proportional to Investment × Time.

- So, (P's Investment × P's Time) / (Q's Investment × Q's Time) = P's Profit / Q's Profit.

- Let investments be I1 and I2.

(I1 × 3) / (I2 × 5) = 5/8

So, (3I1)/(5I2) = 5/8

Cross multiply: 8×3I1 = 5×5I2

24I1 = 25I2

I1 / I2 = 25/24.

- So, investment ratio is 25:24.

- Therefore, Option 4 (25:24) is correct.

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