386. If 60% of A’s income is equal to 75% of B’s income, then B’s income is equal to y% of A’s income. The value of y is :

1. 1. 70

   
   
   

   2. 60

   
   
   

   3. 80

   
   
   

   4. 90

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let A’s income = ₹ a and B’s income = ₹ b
   a × 60% = b × 75%
   ∴ a × 4 = 5 × b
   

   ⇒	b	=	4
   	a		5

   
   Now, b = a × y%
   

   ⇒	b	=	y
   	a		100

   
   

   Correct Option: C

   Let A’s income = ₹ a and B’s income = ₹ b
   a × 60% = b × 75%
   ∴ a × 4 = 5 × b
   

   ⇒	b	=	4
   	a		5

   
   Now, b = a × y%
   

   ⇒	b	=	y
   	a		100

   
   

   ⇒	y	=	4
   	100		5

   
   

   ⇒ y =	4	× 100 = 80
   	5

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387. If the income of Ram is 12	1	% more than that of Shyam,
     	2

     the income of Shyam is less than that of Ram by

1. 1. 11	1	%
      	9

   
   
   

   2. 13	1	%
      	2

   
   
   

   3. 87	1	%
      	2

   
   
   

   4. 88	1	%
      	9

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , R = 12.5%
   We can find the required percent with the help of given formula ,
   

   Required % =	R × 100
   	100 ± R

   
   

   ∴ Required % =	12.5 × 100
   	100 + 12.5

   
   

   Required % =	1250
   	112.5

   
   

   Correct Option: A

   Here , R = 12.5%
   We can find the required percent with the help of given formula ,
   

   Required % =	R × 100
   	100 ± R

   
   

   ∴ Required % =	12.5 × 100
   	100 + 12.5

   
   

   Required % =	1250
   	112.5

   
   

   Required % =	100	= 11	1
   	9		9

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388. Income of A is 10% more than income of B. Let B’s income be y% less than A’s income. Find y.

1. 1. 9	1	%
      	11

   
   
   

   2. 10	1	%
      	11

   
   
   

   3. 11%

   
   
   

   4. 10%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , R = 10%
   We can find the required percent with the help of given formula ,
   

   y =			10	× 100		%
   			100 + 10

   
   

   =	1000	%
   	110

   
   

   Correct Option: A

   Here , R = 10%
   We can find the required percent with the help of given formula ,
   

   y =			10	× 100		%
   			100 + 10

   
   

   =	1000	%
   	110

   
   

   Required answer =	100	% = 9	1
   	11		11

   
   Note : If A is r% more than B, then B is
   

   			r	× 100		% less than A.
   			100 + r

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389. What percent decrease in salaries would exactly cancel out the 20 percent increase?

1. 1. 20%

   
   
   

   2. 16	2	%
      	3

   
   
   

   3. 33	1	%
      	3

   
   
   

   4. 18%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , A = 20%
   We can find the required answer with the help of given formula ,
   

   Required answer =			A	× 100		%
   			100 + A

   
   

   Required answer =			20	× 100		%
   			100 + 20

   
   

   Correct Option: B

   Here , A = 20%
   We can find the required answer with the help of given formula ,
   

   Required answer =			A	× 100		%
   			100 + A

   
   

   Required answer =			20	× 100		%
   			100 + 20

   
   

   Required answer =			20	× 100		%
   			120

   
   

   Required answer =	50	% = 16	2
   	3		3

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390. If A’s income is 40% less than that of B, how much percent B’s income is more than that of A?

1. 1. 60%

   
   
   

   2. 40%

   
   
   

   3. 66.66%

   
   
   

   4. 33.33%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , A = 40%
   Using the given formula ,
   

   Required percentage =	A	× 100
   	100 - A

   
   

   Correct Option: C

   Here , A = 40%
   Using the given formula ,
   

   Required percentage =	A	× 100
   	100 - A

   
   

   Required percentage =	40	× 100 =	200	= 66.66%
   	60		3

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