Quant Quiz 31 January'23 : Arithmetic

A 300m long train passes one km long bridge in 26 seconds and another train twice of its length which is travelling in opposite direction, in 15 seconds. The speed of the second train is:

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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

If a man runs at 28 km/h instead of 24 km/h, he would have covered 24 km more. Then find the actual distance covered by him.

If Rs. 2500 and Rs. 1800 is deposited at 12% and 15% on simple interest per annum respectively, then find the difference between both the simple interest earned after 2 years.

P and Q enter into a partnership and invested Rs. 42000 and Rs. 54000 respectively. If they split half of the profit equally for their efforts and the remaining balance in the ratio of their investments, then Q got Rs. 510 more than P. What was the profit made in the partnership ?