**1. If 30% of a certain number is 12.6, then find the number,**

(a) 40 (b) 42 (c) 46 (d) None

**2. The average of four consecutive even numbers is 27. Find the largest of these numbers.**

(a) 26 (b) 26 (c) 28 (d) 30

**3. A number consists of two digits. The sum of the digit is 9. if 63 is subtracted from the number, its digits are interchanged. Find the number**

(a) 18 (b) 81 (c) Data Insufficient (d) None

**4. A fraction becomes 2/3 when 1 is added to both, its numerator and denominator. And, it becomes 1/2 when 1 is subtracyed from both the numerator and denominator. Find the fraction**

(a) 6/5 (b) 3/5 (c) 7/5 (d) None

**5. A number exceeds its four-seventh by 18. What is the number**

(a) 40 (b) 48 (c) 42 (d) None

**6. If x% of y is same as 4/5 of 80, then the value of xy is**(a). 320 (b). 400 (c). 640 (d)d. None

**7. Subtracting 6% of x, from x is equivalent to multiplying x by how much?**

(a) .94 (b) 9.4 (c) .094 (d) 94

**8. If 8% of x =4% of y, then 20% of x is:**

(a) 10% of y (b) 16% of y (c) 80% of y (d) None of these

**9. It is known that 20% of Oranges are rotten. If the number of rotten Oranges is 35, then total number of oranges are**

(a) 150 (b) 175 (c) 180 (d) 185

**10. If 70% of students in a school are boys and the number of girls is 504, the number of boys is :**

(a) 1680 (b) 1176 (c) 1276 (d) None

**11. A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The Maximum marks are:**

(a) 200 (b) 500 (c) 800 (d) 1000

**12. A house owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg cans. What would be the cost of paint paint purchased, if one can cost Rs. 16 ?**

(a) Rs.240 (b) Rs. 180 (c) Rs.160 (d) Rs.360

**13. A reduction of 12.5% in the price of a dining table brought down its price to Rs.4375. The original price (in Rs) of the table was :**

(a) Rs.6000 (b) Rs.5400 (c) 5200 (d) 5000

**14. In a library 20% of Books are in Hindi, 50% of the remaining are in English and the remaining 9000 are in various other languages. What is the total number of books in English ?**

(a) 4000 (b) 3000 (c) 2250 (d) None of these

**15. A man spends 35% on his income on house rent, 75% of the remaining on other items. What percent of income does he save?**

(a) 16.25 (b) 34.50 (c) 48.75 (d) None

**Solutions**

1. Let the required number be x,

Then (30/100) x =12.6, or x= (12.6 x 100)/30 = 42

:. Required number is =42

2. Sol: Let the four numbers be x, x+2, x+4 & x+6

Then total sum =(27x4) = 108, x + x+ 2 +x +4 + x +6 =108 or 4x =96 or x=24

:. Largest number = (x + 6) = 30

3. Sol : Let ten's digit =x. Then unit's digit = (9 - x)

10x + (9 - x) - 63 = 10(9 - x) + x or 9x - 53 = 90 - 9x

or 18x = 144 or x= s

:. Ten's Digit = 8, and unit,s digit = 1

Hence, the required number is 81

4. Sol: Let the required fraction be x/y then,

(x +1)/ (y + 1) =2/3 => 3x - 2y = -1 ......(i)

and (x - 1) / (y - 1) = 1/2 => 2x - y =1 .......(ii)

Solving (i) & (ii), we get x=3, y =5

:. required fraction = 3/5

5. Sol: x - 4x/7 = 18 => x = (18 x 7)/3 = 42

6. Sol: x - 4x/7 = 18 => x = (18 x 7)/3 = 42

7. Let X – 6% of X =XZ then 94% of X is =XZ

8. (8/100)X =(4/100)Y => X = 1/2Y

:. 20& of X = 20% of 1/2Y = 10% of Y

9. Let Total number of Oranges be X

20% of X=35 => (20/100)xX=35

X=(35x5) =175

10. Let the total number of students be X

Number of girls is 30% of X=504 => (30/100)X = 504 X= [ 504 x (100/30)] = 1680

No of boys = 70% of 1680 = 1176

11. 40% of X =178+22 or (40/100)X=200

or X=500

12. Let X be total paint required in Kg

15% of X +25 = X => X- X = 25

or X=(25x20)/17 =29.41 or 30Kg

So he must purchase 15 cans

Total Cost = Rs.(16 x15) = Rs.240

13. Let X be the original price of the dining table

87.5% of X = 4375 => (87.5/100)X =4375

X = 5000

14. Hindi Books = 20% of X =(20/100)X =X/5

Remaining Books = [X -X/5] = 4X/5

English Books 50% of 4X/5 = 2x/5

Remaining [4X/5 – 2X/5] = 2X/5

2X/5 = 9000 or X=22500

15. House Rent =(35/100)X =7X/20 Remaining = [X - 7X/20] =13X/20

Other Expenditure = [(75/100) x (13X/20) = 39X/80

Saving = [(13X/20 - 39X/80] = 13X/80

Saving Percentage = [(13X/80) x (1/x) x 100] = 65/4% =16.25%

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