BANK & INSURANCE (RATIO AND PROPORTION) PART 3

Total Questions: 40

31. Dhiraj have coins are in the ratio of Rs.1 coins, 50p coins and 25p coins can be expressed by three consecutive odd prime numbers that are in ascending order. The total value of coins in the bag is Rs. 58. If the numbers of Rs.1, 50p, and 25p coins are reversed, find the new total value of coins in the bag of Dhiraj?

Correct Answer: (d) Rs. 82
Solution:

Since the ratio of the number of Rs. 1, 50p and 25p coins can be represented by 3 consecutive odd numbers that are prime in ascending order; the only possibility for the ratio is 3:5:7.

Let the number of Rs.1, 50p and 25p coins be 3x, 5x and 7x respectively.

Hence, total value of coins in paisa

= 100×3x + 50×5x + 25×7x = 725x

Given, 725x = 5800 therefore x = 8

If the number of coins of Rs.1, 50p and 25p is reversed,
the total value of coins in the Bag (in paisa)

= 100×7x + 50×5x + 25×3x = 1025x

Substitute x = 8

New total = 82

32. There are three kinds of books in the personal library of Mr. Sharma: Technical, non-technical and fiction. Ratio of technical to non-technical is 3:2; ratio of non-technical to fiction is 4:3, and the total of the books is more than 1000. Which one of the following can be the total Number of Books?

Correct Answer: (d) 1001
Solution:

Technical : non-technical = 3:2

Non-technical : fiction = 4:3

Technical : Non-technical : fiction = 6:4:3

and books can exist only in integral numbers
i.e. total no of books has to be a multiple of 6+4+3 = 13

only 1001 (option) is a multiple of 13

33. A jeep and a bus are available to cross a bridge. The speed of the bus is thrice that of the jeep. The capacity of the bus is 50 persons and that of jeep is 30 persons. The average occupancy of the jeep is twice that of the bus. The tickets for the jeep and the bus cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the bus to that of the jeep in a day? Assume there is no wastage time between trips and the occupancy of the jeep/bus is defined as the ratio of the actual number of persons boarding it and its capacity.

Correct Answer: (a) 15:4
Solution:

Average Rupee collection = Speed × capacity × Occupancy × Ticket rate

ratio of average Rupee collection of bus to that of jeep = product of above rates

= (3×50×1×1.5) : (1×30×2×1)

= 15 : 4

34. During our campaign against child labour we have found that in three glass making factories A, B and C there were total 33 children aged below 18 were involved. The Ratio of male to female in A, B and C was 4:3, 3:2 and 5:4 respectively. If the number of female children working in the factory B and C be equal then find the no. of female children working in factory A?

Correct Answer: (d) 6
Solution:

Male : Female,

A = 4x : 3y

B = 3y : 2y

C = 5z : 4z

But, 2y = 4z

So, Male : Female

A = 4x : 3x

B = 6z : 4z

C = 5z : 4z

Therefore, 7x + 19z = 33

But z can assume only one value i.e., z = 1

Hence, 7x + 19 = 33

x = 2

Thus the no. of female children in factory A = 3x = 6

35. A bag contains Rs. 1, Rs. 2 and Rs. 10 coins in the ration 2 : 5 : 6. Total amount in the bag is equal to Rs. 360. The ratio of number of Rs. 2, Rs. 10 and Rs. 1 coins respectively is

Correct Answer: (e) 5 : 6 : 2
Solution:

Let the number of coins of Rs. 1, Rs. 2 and Rs. 10 be 2x, 5x and 6x respectively.

Therefore, Rs. 1 amounts to 2x

Rs. 2 amounts to 10x

And Rs. 10 amounts to 60x

Since, the total amount is Rs. 360

2x + 10x + 60x = 360

72x = 360

⇒ x = 5

Therefore,

Rs.1 = 2x = 2 × 5 = 10

Rs.2 = 10x = 10 × 5 = 50

Rs.10 = 60x = 60 × 5 = 300

Total no. of Rs. 1 coins = 10/1 = 10

Total no. of Rs. 2 coins = 50/2 = 25

Total no. of Rs. 10 coins = 300/10 = 30

Required ratio = 25 : 30 : 10 OR 5 : 6 : 2

36. Two egg sellers, sitting on the table. One seller has 7 eggs and other had 5 eggs. One of the common friends of both passing by requested them to share their food in return for money. The three of them shared the eggs equally and the third friend paid the other two a total of Rs.24. Find the difference between the amounts received by two sellers?

Correct Answer: (c) Rs 12
Solution:

As the two seller had a total of 12 eggs.

Also they shared eggs in equal number. So each of them must have got 12/3 = 4 eggs.

The first and the second seller must have given 7−4 = 3 eggs and
(5−4) = 1 egg to their friend.

Hence, the ratio of their share is 3:1. Now, money has to be distributed in the ratio of their contribution. As total money paid by the stranger is Rs. 24.

Hence the first seller get Rs. (24×3/4) = 18 and the second seller get Rs. (24×1/4) = 6

Difference = 18 − 6 = Rs. 12

37. The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is 450. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

Correct Answer: (c) 175°
Solution:

Sum of the angles of quadrilateral = 360°

⇒ x + 6x + 2x + 45° = 360°

⇒ 9x = 360° − 45° = 315°

⇒ x = 315/9 = 35°

Required difference = 6x − x = 5x = 5 × 35 = 175°

38. Direction (38-39): Study the information and answer the following questions.

Mr. Kulkarni decided the vacation trip with family. The cost of insurance to hire tourist van is proportional to the square of the speed van and Rs 64 per hour for a speed of 16kmph. Other costs amount to Rs 400 per hour. The van has to make a journey of 400km at a constant speed.

The most economical speed for Mr. Kulkarni's trip is?

Correct Answer: (c) 40 kmph
Solution:

Cost = x × speed²

64 = x × 16 × 16

x = 1/4

Cost = (speed²) / 4

Total cost = (speed²)/4 + 400 × (400/speed)

By using options we find 40 kmph to be most economical

39. The total cost for the Mr. Kulkarni's trip at this most economical speed is?

Correct Answer: (e) 8000
Solution:

Total cost = {speed²/4 + 400} × 400/speed

Economical speed = 40 kmph

Total cost = {40²/4 + 400} × 400/40 = Rs. 8000

40. Prithvi and Kavitha started a business by investing Rs. 25000 and Rs. 28000 respectively. 4 months later, Kavitha withdrew her entire money and Shyam and Mala joined the business with investments of Rs. 20000 and Rs. 26000 respectively. If the difference in total shares of Shyam and Mala together and total shares of Prithvi and Kavitha together after a year is Rs. 6600, then find the total profit?

Correct Answer: (b) Rs. 117000
Solution:

The share of Prithvi, Kavitha, Shyam and Mala,

= [25000×12] : [28000×4] : [20000×8] : [26000×8]

= 300000 : 112000 : 160000 : 208000

= 75 : 28 : 40 : 52

The difference in total shares of Shyam and Mala together and total shares of Prithvi and Kavitha together after a year = Rs. 6600

⇒ (75 + 28)’s − (40 + 52)’s = 6600

⇒ 103’s − 92’s = 6600

⇒ 11’s = 6600

⇒ 1’s = 600

Total profit = 195’s = 600×195

= Rs. 117000