**Find solutions for all the questions at the end of each set:**

### Set A

**1.A man bought 20 dozen eggs for Rs. 720. What should be the selling price of each egg if he wants to make a profit of 20%?**

**2.The value of equipment depreciates by 20% each year. How much less will the value of the equipment be after 3 years?**

**3.A’s salary is 40% of B’s salary and B‘s salary is 25% of C’s salary. What percentage of C’s salary is A’s salary?**

**4.In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was**

**5.A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?**

**6.A can complete 2/3 of a work in 4 days and B can complete 3/5 of the work in 6-clays. In how many days can both A and B together completes the work?**

**7.A tap can ﬁll a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the ﬁrst tap was opened. In how many minutes will the empty cistern be ﬁlled ?**

**8.A man goes from Mysore to Bangalore at a uniform speed of 40 km/hr and comes back to Mysore at a uniform speed of 60 km/hr. His average speed for the whole journey is**

**9.A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/ hr, then the speed (in km/ hr) of the boat in still water is**

**10.Two trains of lengths 70 m and 80 m are running at speeds of 68 km/hr and 40 km/hr respectively on parallel tracks in opposite directions. In how many seconds will they pass each other?**

ANSWERS AND SOLUTION

1.(4) CP of 1 egg = 720/(20 * 12) = Rs.3

so Required SP of 1 egg = 3×120/100 = Rs. 3.60

2.(1) If the present worth of the equipment be Rs. 100. Then

its price after 3 years

= 100 × (80/100)^3 = Rs. 51.2

so Description = 48.8%

3.(2) Let B’s salary = Rs. 100

so C‘s salary = Rs. 400

and A’s salary = Rs. 40

so Required percentage = 40/400 ×100 = 10%

4.(1) if the total number of students

be x, then

7% of x = 259

=> (x * 7)/100 = 259

=> x = (259 ×100)/7=3700

5.(1) (A+B)’s 1 day’s work = 1/18

(B +C)’s 1 day work = 1/24

(A + C)’s 1 day’s work = 1/36

Adding all three,

2(A + B+ C)’s 1 day’s work

= 1/18 + 1/24 + 1/36

= (4 +3 + 2)/72 = 1/8

so (A + B +C)’a 1 day’ s work = 1/16

so A, B and C together will complete the work in 16 days.

6.(3) Time taken by A to complete

The work = (4 * 3)/2 = 6 days

Time taken by B to complete the work = (6 * 5)/3 = 10 days

so (A +B)’s 1 day work

= 1/6 + 1/10 = (5 +3)/30 = 8/30 = 4/15

so A and B together will complete the work in 15/4 = 3 3/4 days.

7.(4)

Part of the cistern filled in 1 minute by both the taps

= 1/40 – 1/60 = ( 3 -2)/120 = 1/120

so Empty cistern will be filled in 120 minutes

8.(1)

Average speed

= (2xy)/(x+y) kmph

= (2 * 40 * 60)/(40 + 60)kmph

= 48kmph

9.(2)

If the speed of boat in still water be x kmph, then

12/(x + 3) + 12/(x -3) = 3

=> 12 (x – 3 + x + 3)/(x + 3) (x -3) = 3

=> 4 * 2x = x^2 – 9

=> x^2 – 8x – 9 = 0

=> x^2 – 9x + x – 9 = 0

=> x(x – 9) + 1 (x -9) = 0

=> (x -9) (x + 1) = 0

=> x = 9 becouse x ≠ -1

10.(3) Relative speed = (68 + 40) kmph

= 108 kmph

= (108 * 5)/18 m/sec. = 30 m/sec

so Required time = (Sum of the lengths of both trains)/(Relative speed)

= (70 + 80)/30 second

= 5 second

**Find solutions for all the questions at the end of each set:**

### Set B

**1. Shani has some birds and dogs. If the ratio of number of heads and numbers of feet is 5:16 ,find out the ratio of numbers of dogs and number of birds, if the number of heads alone is 30.**

**2. 1 Men, 3 Women and 4 boys can do a piece of work in 96 hour. 2 Men, 8 Boys can do in 80 hour and 2 men and 3 women can do in 120 hours , How many hours can be done by 5 men and 12 boys?**

**3. A boy can fill a bucket in ¾ min. and a girl can fill bucket 4/3 min. In how many hour will they fill the tank whose capacity is 225 buckets. If they works only 3/5 hour in every 1 hour?**

**4. 6 men and 5 children earns Rs.1400 in 5 days. 8 men and 7 children earns Rs.3040 in 8 days. In how many days will 4 men and 3 children earn Rs.720?**

**5. A rabbit, pursued by a dog, is 125 of her own leaps ahead of him. While the rabbit takes 4 leaps the dog takes 3 leaps. In one leap the rabbit goes 1.75 meter and dog 2.75 meter. In how many leaps will the dog overtake the rabbit?**

**6. A man covered a certain distance at a uniform speed. If speed of man had been 2 km/h faster ,it would have taken 1 hour 15 minutes less than the scheduled time. If speed of the man were slower by 2 km/h, the man would have taken, 2 hour 5 minutes more than the scheduled time. The length of the journey and the uniform speed of man is:**

**7.A boat covers 24kms upstream and 36km downstream in 6 hours. While the boat covers 36km upstream and 24 km downstream in 6.5 hours. Speed of the boats is:**

**8. Rs.500 divided among A,B and C such that Rs.16 more than 2/5 of A’s share , Rs.70 less than 3/4 of B’s shares and Rs.4 less than 3/5 of C’s share, all are equal. Find share of B?**

**9. A vendor gives 1 kite extra for free on selling every set of 19 kites. In order to give a discount of 10%, the number of extra kite he should give when he sells 27 kites is ?**

**10.Weight of two persons A and B are in the ratio of 3:5. A’s weight increase by 20% and the total weight of A and B together becomes 80 kg, with an increase of 25%. By what percent did the weight of B increase?**

**ANSWER:**

**1.a**

**2.a**

**3.a**

**4.a**

**5.b**

**6.a**

**7.c**

**8.c**

**9.c**

**10.a**