**Q1. A shopkeeper announces successive discounts of 10% and 20%. Find the equivalent percent discount.**

(a) 27%

(b) 28%

(c) 29%

(d) 30%

**Q2. In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the groups is:**

(a) 80

(b) 92

(c) 100

(d) 60

**Q3. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:**

(a) 39, 30

(b) 41, 32

(c) 42, 33

(d) 43, 34

**Q4. In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?**

(a) 8200

(b) 7500

(c) 7000

(d) 8000

**Q5. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received ?**

(a) Rs. 76,375

(b) Rs. 34,000

(c) Rs. 82,150

(d) Rs. 70,000

**Q6. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?**

(a) Rs. 15

(b) Rs. 15.70

(c) Rs. 19.70

(d) Rs. 20

**Q7. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?**

(a) 72

(b) 80

(c) 120

(d) 100

**Q8. A’s salary is 30% higher than B’s salary. The percent that B’s salary is less than A’s salary is:**

(a) 25%

(b) 30%

(c) 23 1/13%

(d) 20%

**Q9. If the price of sugar is increased by 25%, by how much percent must a householder reduce his consumption of sugar so as not to increase his expenditure on sugar?**

(a) 35%

(b) 30%

(c) 25%

(d) 20%

**Q10. In a class of 40 students and 8 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?**

(a) 420

(b) 400

(c) 320

(d) 360

Solutions

S1. Ans.(b)

Sol. Explanation

For two successive changes of x% and y%, net change =

{x + y +xy/100}%

= {-10-20+(-10)(-20)/100}%

= (–30 + 2)%

= –28%

S2. Ans.(a)

Sol. Explanation

Let the number of students be 100.

Number of students allotted to group A = 40

Number of students allotted to group B = 75% of 60 = 45

Thus, Balance number of students allotted to group C = 100 – 40 – 45 = 15

Number of actual students = 100/15 × 12 = 80

S3. Ans.(c)

Sol. Explanation:

Let their marks be (x + 9) and x.

Then, x + 9 = 56/100(x + 9 + x)

⇒ 25(x + 9) = 14(2x + 9)

⇒ 3x = 99

⇒ x =33

So, their marks are 42 and 33.

S4. Ans.(d)

Sol. Explanation:

State A and State B had an equal number of candidates appeared.

In state A, 6% candidates got selected from the total appeared candidates

In state B, 7% candidates got selected from the total appeared candidates

But in State B, 80 more candidates got selected than State A

From these, it is clear that 1% of the total appeared candidates in State B = 80

=> total appeared candidates in State B = 80 x 100 = 8000

=> total appeared candidates in State A = total appeared candidates in State B = 8000

S5. Ans.(a)

Sol. Explanation:

Price of the car = Rs.3,25,000

Car insured to 85% of its price

⇒ Insured price = 325000 × 85/100

Insurance company paid 90% of the insurance

Amount paid by Insurance company =Insured price × 90/100

=325000×85/100×90/100=325×85×9=Rs.248625

Difference between the price of the car and the amount received

= Rs.325000 – Rs.248625 = Rs.76375

S6. Ans.(c)

Sol. Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30/100

⇒ x = (30/100 × 100/6) = 5

So, Cost of tax free items = Rs. [25 – (5 + 0.30)] = Rs. 19.70

S7. Ans.(d)

Sol. Explanation:

Let the number of students be x. Then,

Number of students above 8 years of age = (100 – 20)% of x = 80% of x.

So, 80% of x = 48 + 2/3 of 48

⇒ 80/100 x = 80

⇒ x = 100.

S8. Ans.(c)

Sol. Explanation:

Let B’s salary be Rs. 100

Then, A’s salary = Rs.130

Required percentage = 30/100 × 100 = 23 1/13%

S9. Ans.(d)

Sol. Explanation:

If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is :

{R/(100+R)x100}%

Thus, percent reduction in consumption

={25/(100+25)x100}%

= 20 %

S10. Ans.(b)

Sol. Explanation:

Number of students in the class = 40

Sweets received by 40 students = 40 × (20% of 40) = 320

Number of teachers in the class = 8

Sweets received by 8 teachers = 8 × (25% of 40) = 80

Total number of sweets = 320 + 80 = 400

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