percentage Model Questions & Answers, Practice Test for ssc cgl tier 1

Question :11

Lucknow bound Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest chair cars. During one journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?

Answer: (a)

Seats in executive class = 50

Seats for chair car = 450

Booked seats in total = 425

Booked in executive class = 48

Therefore, seats booked in chair class

= (425 – 48) = 377

Empty seats for chair class = 450 – 377 = 73

Question :12

The difference between 75% of a number and 20% of the same number is 378.4. What is 40% of that number ?

Answer: (b)

(75 – 20)% as number = 378.4

or, Number = ${378.4 × 100}/s55$

∴40% of number

= ${378.4 × 100}/55 × 40/100$ = 275.2

Question :13

An employee is required to contribute 10% of his payment to General Provident Fund. If he gets Rs.13500 as net pay in a month, then what is the monthly General Provident Fund contribution (assuming no other deductions)?

Answer: (c)

Let the net pay of employee = x

After contributing 10% = $x × 90/100 = {9x}/10$

According to question ${9x}/10$ = 13500

∵ $x = {13500 × 10}/9$ = 15000

General provident fund = 10% of basic pay

= ${10 × 15000}/100$ = 1500

Question :14

Anthony got 30% of the maximum marks in an examination and failed by 10 marks. However, Amar who took the same examination, got 40% of the total marks and got 15 more than the passing marks in the examination. What were the passing marks in the examination ?

Answer: (d)

Let the maximum marks be x.

Then, x × 30% + 10 = x × 40% – 15

⇒ x × 10% = 25 or x = 250

Therefore, passing marks = $250 × 30/100 + 10 = 85$

Question :15

King Dashratha, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth 1,30,900 kilograms of gold, find the quantity of gold King Dashratha was having initially?

Answer: (a)

The total wealth given would be 50% + 25% (which is got by 50% of the remaining 50%) + 12.5% (which is got by 50% of the remaining 25%).

Thus, the total wealth given by him would be equivalent to 87.5% of the total.

Since, this is equal to 130900 kilograms of gold, the total gold would be: 130900 × 8/7 = 149600.

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