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%

Given that to find 15 of 80

=> What % of 80 is 15

Let it be 'p'

=> p% of 80 = 15

=> $$\begin{gathered} p x 80100 = 15 \\ ⇒p = 15 x 10080 \\ ⇒p = 150080 = 18.75 \end{gathered}$$

Therefore, 15 is 18.75% of 80 => 18.75% of 80 = 15

Example::

Now, in the similar way we can find 15% of 80 =?

=> 15x80/100 = p

=> p = 4 x 3 = 12

Therefore, 15% of 80 = 12

The planet Jupiter is known as "Bright Wandering Star".

Pathogenic bacteria cause the greatest harm in the food industry.

Luanda, the capital of Angola, has topped the list of most expensive cities for expatriates, according to Mercer’s 23rd annual Cost of Living Survey. Hong Kong has acquired 2nd position, followed by Tokyo, Zurich, Singapore, Seoul and Geneva. From India, Mumbai is the most expensive city for expatriates that has ranked 57th on the list, followed by New Delhi (99), Chennai (135), Bangalore (166) and Kolkata (184). The Mercer’s survey includes 209 cities across five continents. The world’s least expensive cities for expatriates, according to Mercer’s survey, are Tunis (209), Bishkek (208) and Skopje (206). Mercer’s authoritative survey is one of the world’s most comprehensive, and is designed to help multinational companies and governments determine compensation allowances for their expatriate employees.

We know, 

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700 

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

Hence, the rate of interest R = 8%.