JK Bank Ratio And Proportion Problems With Answer-Monk Test 2020

#1. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

Rs. 460

Rs. 484

Rs. 550

Rs. 664

Answer: Option B

Explanation:

	4	A	=	2	B
	15			5

A =		2	x	15	B
		5		4

A =	3	B
	2

	A	=	3
	B		2

A : B = 3 : 2.

B’s share = Rs.		1210 x	2		= Rs. 484.
			5

#2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

2 : 5

3 : 5

4 : 5

6 : 7

Answer: Option C

Explanation:

Let the third number be x.

Then, first number = 120% of x =	120x	=	6x
	100		5

Second number = 150% of x =	150x	=	3x
	100		2

Ratio of first two numbers =		6x	:	3x		= 12x : 15x = 4 : 5.
		5		2

#3. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

Rs. 500

Rs. 1500

Rs. 2000

None of these

Answer: Option C

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x – 3x = 1000

x = 1000.

B’s share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

#4. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

2 : 3 : 4

6 : 7 : 8

6 : 8 : 9

None of these

Answer: Option A

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

		140	x 5x		,		150	x 7x		and		175	x 8x
		100					100					100

7x,	21x	and 14x.
	2

The required ratio = 7x :	21x	: 14x
	2

14x : 21x : 28x

2 : 3 : 4.

#5. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

20 litres

30 litres

40 litres

60 litres

Answer: Option D

Explanation:

Quantity of milk =		60 x	2	litres = 40 litres.
			3

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

Then, milk : water =		40		.
		20 x

Now,		40		=	1
		20 x			2

20 x = 80

x = 60.

Quantity of water to be added = 60 litres.

#6. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

8 : 9

17 : 18

21 : 22

Cannot be determined

Answer: Option C

Explanation:

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

		120	x 7x		and		110	x 8x
		100					100

	42x	and	44x
	5		5

The required ratio =		42x	:	44x		= 21 : 22.
		5		5

#7. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

Rs. 17,000

Rs. 20,000

Rs. 25,500

Rs. 38,000

Answer: Option D

Explanation:

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then,	2x 4000	=	40
	3x 4000		57

57(2x 4000) = 40(3x 4000)

6x = 68,000

3x = 34,000

Sumit’s present salary = (3x 4000) = Rs.(34000 4000) = Rs. 38,000.

#8. If 0.75 : x :: 5 : 8, then x is equal to:

1.12

1.2

1.25

1.30

Answer: Option B

Explanation:

(x x 5) = (0.75 x 8) x =		6		= 1.20
		5

#9. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

20

30

48

58

Answer: Option B

Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 =		5 x	3		:		8 x	3		= 3 :	24
			5					5			5

A : B : C = 2 : 3 :	24	= 10 : 15 : 24
	5

B =		98 x	15		= 30.
			49

#10. If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is:

Rs. 182

Rs. 190

Rs. 196

Rs. 204

Answer: Option D

Explanation:

Given ratio = : : = 6 : 8 : 9.

1^st part = Rs.		782 x	6		= Rs. 204
			23

#11. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

3 : 3 : 10

10 : 11 : 20

23 : 33 : 60

Cannot be determined

Answer: Option C

Explanation:

Let A = 2k, B = 3k and C = 5k.

A’s new salary =	115	of 2k =		115	x 2k		=	23k
	100			100				10

B’s new salary =	110	of 3k =		110	x 3k		=	33k
	100			100				10

C’s new salary =	120	of 5k =		120	x 5k		= 6k
	100			100

New ratio		23k	:	33k	: 6k		= 23 : 33 : 60
		10		10

#12. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

2 : 5

3 : 7

5 : 3

7 : 3

Answer: Option C

Explanation:

Let 40% of A =	2	B
	3

Then,	40A	=	2B
	100		3

	2A	=	2B
	5		3

	A	=		2	x	5		=	5
	B			3		2			3

A : B = 5 : 3.

#13. The fourth proportional to 5, 8, 15 is:

18

24

19

20

Answer: Option B

Explanation:

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

5x = (8 x 15)

x =	(8 x 15)	= 24.
	5

#14. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

27

33

49

55

Answer: Option B

Explanation:

Let the numbers be 3x and 5x.

Then,	3x – 9	=	12
	5x – 9		23

23(3x – 9) = 12(5x – 9)

9x = 99

x = 11.

The smaller number = (3 x 11) = 33.

#15. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

50

100

150

200

Answer: Option C

Explanation:

Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.

Then, sum of their values = Rs.		25x		10 x 2x		5 x 3x		= Rs.	60x
		100		100		100			100

	60x	= 30	x =	30 x 100	= 50.
	100			60

Hence, the number of 5 p coins = (3 x 50) = 150.

JK Bank Ratio and Proportion Problems with answer-Monk Test 2020

Results

#1. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

#2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

#3. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

#4. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

#5. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

#6. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

#7. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

#8. If 0.75 : x :: 5 : 8, then x is equal to:

#9. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

#10. If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is:

#11. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

#12. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

#13. The fourth proportional to 5, 8, 15 is:

#14. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

#15. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

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