CAT Questions

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Suppose that the original price of the car = Rs. x 

Then new price of the car

=> (x) + (x ×25/100) = Rs. 5x/4 

To restore the original price, the new price must be decreased by

5x/4 − x = x/4

So required percentage =(x/4)/(5x/4) × 100%

= 20%

The capital of Bangladesh “Dhaka” is the world’s most crowded city with a population density of 44,500 people per square kilometre, released by World Economic Forum (WEF), citing UN Habitat data. According to UN Habitat data, of the top 10 most densely populated cities in the world, six are in Asia, three are in Africa and one is in South America. India’s financial capital Mumbai, home to 31,700 people per square kilometre has acquired second place, where as Kota in Rajasthan with 12,100 people per square kilometre was ranked seventh. Others in the list include Medellin in Columbia (3rd), Manila in Philippines (4th, 14,800), Casablanca in Morocco (5th, 14,200), Lagos in Nigeria (6th, 13,300), Singapore (8th, 10,200) and Jakarta in Indonesia (9th, 9,600).

M = 10 days

The ratio of efficiency of M & N are 3 : 2

Hence, the time rquired for N alone = 15 days

=> Required time taken t=by both to complete the work = M x N / M + N 

= 10 x 15/ 10 + 15

= 150/25

= 6 days.

Let the number of days be 'p' 

As the work is same, we know that

M1 x D1 x H1 = M2 x D2 x H2

Where M = Men, D = Days, H = Hours per day 

Here M1 = 9, D1 = 15, H1 = 7 

M2 = 6, D2 = p, H2 = 9 

=> 9 x 15 x 7 = 6 x p x 9 

=> p = 35/2 = 17.5 days.

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