Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of

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Question
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Options
A. 2 : 3
B. 1 : 1
C. 3 : 4
D. 4 : 3

Correct Answer

4 : 3

Explanation

5% of A + 4% of B =	2	(6% of A + 8% of B)
	3

⟹	5	A +	4	B	=	2	❨	6	A +	8	B	❩
	100		100			3		100		100

⟹	1	A +	1	B	=	1	A +	4	B
	20		25			25		75

⟹	❨	1	-	1	❩ A =	❨	4	-	1	❩ B
		20		25			75		25

⟹	1	A =	1	B
	100		75

A	=	100	=	4	.
B		75		3

∴ Required ratio = 4 : 3

Percentage problems

Search Results

1. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Options
A. 2700
B. 2900
C. 3000
D. 3100

2. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Options
A. 1
B. 14
C. 20
D. 21

3. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Options
A. 15
B. 16
C. 18
D. 25

4. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Options
A. No profit, no loss
B. 5%
C. 8%
D. 10%
E. None of these

5. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Options
A. Rs. 18.20
B. Rs. 70
C. Rs. 72
D. Rs. 88.25

6. 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?
Options
A. Rs. 15
B. Rs. 15.70
C. Rs. 19.70
D. Rs. 20

7. A student multiplied a number by ³⁄₅ instead of ⁵⁄₃. What is the percentage error in the calculation?
Options
A. 34%
B. 44%
C. 54%
D. 64%

8. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Options
A. 45%
B. 45 ⁵⁄₁₁%
C. 54 ⁶⁄₁₁%
D. 55%

9. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options
A. Rs. 200
B. Rs. 250
C. Rs. 300
D. None of these

10. 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:
Options
A. 39, 30
B. 41, 32
C. 42, 33
D. 43, 34

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