Speed is inversely proportional to time taken. Ratio of time taken is 4:5 by Rajdhani and Swaraj resp. So, ratio of speed will be 5:4.

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Probability = favourable case/ total sample space =35/50 = 7/10

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Selecting group 1 by 1 of 3 toys from 12 we get 12c3.9c3.6c3.3c3 is the answer.

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Pump 1 fills the cushion in 10 minutes.

In 1 minute the 110th part of the cushion is filled by pump 1.

Similarly, in 1 minute the 112th part of the cushion is filled by pump 2.

If both the pumps are working together, then in 1 minute the (110+ 112) 1160 part is filled. Thus the time taken by both the pipes is 6011 or 5511minutes.

Alternatively, in such cases we can calculate the total time by using the trick:

10∗1210+12 (P1∗P2P1+P2) = 6011 or 5511minutes

Let SP of each papaya by Rs. X. SP of 10 papayas = Rs. 10x CP of 8 papayas = Rs. 10x CP of each papaya = Rs. 10x8 = Rs. 5x4 As CP > SP; there is loss. Loss = (CP – SP) Rs. x4 Loss % = LossCP x 100 = x45x4 x 100 = 20%

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