**571. There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?**

A. 168

B. 84

C. 42**D. 21**

E. None of these

**Explanation:**

Let the first number and the second number be F and S respectively.

5/2 F = 48/100 S —-> (1)

S = 1/9 * 1125 = 125

(1) => 5/7 F = 48/100 * 125

=> F = 84

25% of F = 1/4 * 84 = 21.

**572. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?**

A. 8 : 25

B. 25 : 8

C. 8 : 5**D. 5 : 8**

E. None of these

**Explanation:**

Let the two numbers be x and y.

40/100 * x + y = 5/4y

=> 2/5 x = 1/4 y => x/y = 5/8

**573. Anees spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?**

A. Rs. 1800

B. Rs. 2000

C. Rs. 2200**D. Rs. 2500**

E. None of these

**Explanation:**

Let’s Aneess salary be Rs. 100.

Money spent on Rent = 40% of 100 = Rs. 40.

Money spent on medical grounds = 30% of (100 – 40) = 3/10 * 60 = Rs. 18.

Money spent on education = 20% of (60 – 18) = 1/5 * 42 = Rs. 8.40

Anees saves 100 – (40 + 18 + 8.40) i.e., Rs. 33.60

for 33.6 —> 100 ; 840 —> ?

Required salary = 840/33.6 * 100 = Rs. 2500

**574. In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?****A. 1160**

B. 1100

C. 1080

D. 1210

E. None of these

**Explanation:**

Number of sweets each child got = 15% of 80 = 15/100 * 80 = 12.

Number of sweets 80 children got = 80 * 12 = 960.

Number of sweets each youngster got = 25% of 80 = 25/100 * 80 = 20.

Number of sweets 10 youngsters got = 10 * 20 = 200.

Total number of sweets = 960 + 200 = 1160

**575. There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?**

A. Rs. 1500

B. Rs. 1800**C. Rs. 2000**

D. Rs. 2400

E. None of these

**Explanation:**

Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 – 20% of 130 = 130 – 26 = Rs. 104.

In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40.

But present price of the article is Rs. 2288

for 114.4 —> 100 ; 2288 —> ?

Required price = (2288 * 100)/114.4 = 20 * 100 = Rs. 2000.

**576. In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?****A. 430**

B. 570

C. 480

D. 520

E. None of these

**Explanation:**

Let the total number of valid votes be x.

70% of x = 70/100 * x = 7x/10

Number of votes secured by the other candidate = x – 7x/100 = 3x/10

Given, 7x/10 – 3x/10 = 172 => 4x/10 = 172

=> 4x = 1720 => x = 430.

**577. In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?**

A. 80%

B. 20%

C. 40%**D. 50%**

E. None of these

**Explanation:**

Number of students passed = 60% of 140 = 60/100 * 140 = 84

Number of students failed = 140 – 84 = 56.

Required percentage = 28/56 * 100 = 50%.

**578. 40% of Raees marks is equal to 20% of Rahim’s marks which percent is equal to 30% of Rehman’s marks. If Rehman’s marks is 80, then find the average marks of Raees and Rahim?**

A. 60

B. 70

C. 80**D. 90**

E. None of these

**Explanation:**

Given, 40% of Ram’s marks = 20% of Rahim’s marks = 30% of Robert’s marks.

Given, marks of Robert = 80

30% of 80 = 30/100 * 8 = 24

Given, 40% of Ram’s marks = 24.

=> Ram’s marks = (24 * 100)/40 = 60

Also, 20% of Rahim’s marks = 24

=> Rahim’s marks = (24 * 100)/20 = 120

Average marks of Ram and Rahim = (60 + 120)/2 = 90

**579. Moons salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?**

A. Rs. 8000**B. Rs. 7500**

C. Rs. 7400

D. Rs. 7200

E. None of these

**Explanation:**

Let Mohan’s salary be Rs.100.

When increased by 20%, Mohan’s salary = Rs.120

Again when decreased by 20%, Mohan’s salary = 120 – 24 = Rs. 96.

But present salary is Rs. 7200

for, 96 —> 100 ; 7200 —> ?

Required salary is 7200/96 * 100 = Rs. 7500

**580. If 25% of x is 15 less than 15% of 1500, then x is?**

A. 720

B. 750

C. 820**D. 840**

E. None of these

**Explanation:**

25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225

Given that, x/4 = 225 – 15 => x/4 = 210 => x = 840.

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