**Q1. Sum of cost price of two watches is Rs 3360. One watch is sold at a profit of 12% and other at a loss of 12%. Due to this transaction, there is neither profit nor loss. Find the cost price of each watch.**

(a) Rs 1680, Rs 1680

(b) Rs 1280, Rs 1280

(c) Rs 1000, Rs 1000

(d) Rs 2100, Rs 2160

**Q2. A seller buys 50 kg oranges for Rs 525 and gains a profit equal to the cost price of 10 kg of oranges. Find the selling price per kg of oranges (Rs/kg).**

(a) 12.60

(b) 11.60

(c) 10.20

(d) 12

**Q3. Find a number, one-seventh of which exceeds its eleventh part by 100.**

(a) 1925

(b) 1825

(c) 1540

(d) 1340

**Q4. 6 bells commence tolling together and toll of intervals are 2, 4, 6, 8, 10 and 12 s, respectively. In one hour, how many times do they toll together?**

(a) 16

(b) 32

(c) 21

(d) 31

**Q5. A certain type of board is sold in lengths of multiples of 2 ft. the shortest board sold is 6 ft and the longest is 24 ft. A builder needs a large quantity of these types of board in 5 1/2 ft lengths. Find the length of be ordered for which waste is minimum.**

(a) 24 ft

(b) 26 ft

(c) 22 ft

(d) 52 ft

**Q6. On mixing two classes A and B of students having average marks 25 and 40 respectively. The over all average obtained is 30. Find the ratio of the students in the class A and B.**

(a) 2 : 1

(b) 5 : 8

(c) 5 : 6

(d) 3 : 4

**Q7. At present the ratio of the age of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will get changed to 9 : 8. Maya’s present age is**

(a) 21 years

(b) 24 years

(c) 30 years

(d) 40 years

**Q8. What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4?**

(a) 8

(b) 7.5

(c) 6.5

(d) 5

**Q9. The sum of three numbers is 68. If the ratio of the first to the second be 2 : 3 and that of the second to the third be 5 : 3, then the second number is**

(a) 30

(b) 58

(c) 20

(d) 48

**Q10. Two number are in the ratio 4 : 5 and their L.C.M. is 180. The smaller number is**

(a) 9

(b) 15

(c) 36

(d) 45

**Solutions:**

S1. Ans.(a)

Sol.

On one watch, he earns 12% profit and on the other one 12% loss. There is, finally, no profit no loss.

Hence CPs of both the watches should be same such that their summation = Rs 3360.

Hence CP/watch = (Rs.3360)/2 = Rs. 1680

Hence option (a) is the answer.

S2. Ans.(a)

Sol.

Assume SP/kg = Rs x/kg.

CP/kg =(Rs.525)/50 = Rs. 10.5/kg

Total SP – Total CP = profit ⇒ 50x – Rs. 525 = 10 × Rs. 10.5 = Rs. 105

Or, 50x = Rs. 105 + Rs. 525 = Rs. 630

Hence x =(Rs.630)/50 = Rs. 12.6/kg

S3. Ans.(a)

Sol.

Let the number be x.

x/7- x/11 = 100

(11x-7x)/(11 x 7)=100

4x = 77 x 100

x = 1925

S4. Ans.(d)

Sol.

LCM of 2, 4, 6, 8, 10, 12 = (2 × 2 × 3 × 2 × 5) = 120

∴ After every 2 min they toll together

∴ Number of times they toll together in one hour

=(60/2+1) times = 31 times

S5. Ans.(c)

Sol.

LCM of (2 and 5 1/2) = LCM of (2 and 11/2)

Required answer = (LCM of 2 and 11)/(HCF of 1 and 2)=22/1 = 22 ft

S8. Ans.(d)

Sol.A/B=7/11 Given

Let x be added to both A & B

⇒(7+x)/(11+x)=3/4

Cross multiply the equation

28 + 4x = 33 + 3x

x = 5

S9. Ans.(a)

Sol. A + B + C = 68

A : B : C

2 : 3

5 : 3

▁(¯(10∶15∶9))

10x + 15x + 9x = 34x

34x = 68

x = 2

∴ A = 2 × 10 = 20

B = 2 × 15 = 30

C = 9 × 2 = 18

S10. Ans.(c)

Sol.

A : B

4 : 5

4x : 5x

LCM = 4 × 5 × x = 20x

20x = 180

x = 9

∴ Smallest number is

= 4 × 9 = 36

Largest number is = 5 × 9 = 45