341. A man spends 60% of his income on different items. His income is increased by 20% and his expenditure is also increased by 10%. Find the percentage decrease in his savings?

1. 1. 10%

   
   
   

   2. 15%

   
   
   

   3. 20%

   
   
   

   4. 25%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let person’s income be Rs. 100.
   Expenses = Rs. 60
   Savings = Rs. 40
   New income = Rs. 120
   

   Expenses = Rs.		120 × 70		= Rs. 84
   		100

   
   Savings = Rs. (120 – 84) = Rs. 36
   

   Correct Option: A

   Let person’s income be Rs. 100.
   Expenses = Rs. 60
   Savings = Rs. 40
   New income = Rs. 120
   

   Expenses = Rs.		120 × 70		= Rs. 84
   		100

   
   Savings = Rs. (120 – 84) = Rs. 36
   

   ∴ Required percent decrease =	40 - 36	× 100 =	400	= 10%
   	40		40

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342. If the income of Mohan is 150% higher than that of Mahesh, then by what percent the income of Mahesh is less than that of Mohan ?

1. 1. 40%

   
   
   

   2. 50%

   
   
   

   3. 60%

   
   
   

   4. 45%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Mahesh’s income = Rs. 100
   ∴ Mohan’s income = Rs. 250
   

   Required percent =		250 – 100		× 100%
   		250

   
   

   Correct Option: C

   Let Mahesh’s income = Rs. 100
   ∴ Mohan’s income = Rs. 250
   

   Required percent =		250 – 100		× 100%
   		250

   
   

   Required percent =		1500		% = 60%
   		25

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343. In a factory, the salary of each worker is increased in the ratio 22 : 25 but the number of
     

     workers is decreased by 26	2	% The net effect on the salary is
     	3

     
     

1. 1. 11	1	% decrease
      	9

   
   
   

   2. 20% increase

   
   
   

   3. 16	2	% decrease
      	3

   
   
   

   4. 10% decrease

   
   
   

   5. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   22 : 25 =	22	× 100 = 88%
   	25

   
   

   ∴ Percentage effect =		88 -	80	-	88 × 80		%
   			3		300

   
   

   Percentage effect =		88 -	80	-	704		%
   			3		30

   
   

   Correct Option: E

   According to question ,
   

   22 : 25 =	22	× 100 = 88%
   	25

   
   

   ∴ Percentage effect =		88 -	80	-	88 × 80		%
   			3		300

   
   

   Percentage effect =		88 -	80	-	704		%
   			3		30

   
   

   Percentage effect =		2640 – 800 – 704		%
   		30

   
   

   Percentage effect =	1136	= 37.86% increase
   	30

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344. The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the percentage of female employees?

1. 1. 80%

   
   
   

   2. 20%

   
   
   

   3. 40%

   
   
   

   4. 30%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number of male employees in the firm be p and that of female employees be q.
   According to the question,
   

   	5200 × p + 4200 × q	= 5000
   	p + q

   
   ⇒ 52p + 42q = 50 (p + q)
   ⇒ 52p + 42q = 50p + 50q
   ⇒ 52p – 50p = 50q – 42q
   ⇒ 2p = 8q
   ⇒ p = 4q
   

   Correct Option: B

   Let the number of male employees in the firm be p and that of female employees be q.
   According to the question,
   

   	5200 × p + 4200 × q	= 5000
   	p + q

   
   ⇒ 52p + 42q = 50 (p + q)
   ⇒ 52p + 42q = 50p + 50q
   ⇒ 52p – 50p = 50q – 42q
   ⇒ 2p = 8q
   ⇒ p = 4q
   ∴ p + q = 4q + q = 5q
   

   ∴ Required percent =	y	× 100 = 20%
   	5y

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345. Christy donated 10% of his income to an orphanage and deposited 20% of the remainder in his bank. If he has now Rs. 7200 left, what is his income.

1. 1. Rs. 10000

   
   
   

   2. Rs. 8000

   
   
   

   3. Rs. 9000

   
   
   

   4. Rs. 8500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Christy’s income = Rs. p
   

   Amount given to orphanage = Rs.	p
   	10

   
   

   Remaining amount = Rs.	9p
   	10

   
   

   Remaining amount after depositing in bank = 80% of	9p
   	10

   
   

   = Rs.		9p	×	80
   		10		100

   
   

   Correct Option: A

   Let Christy’s income = Rs. p
   

   Amount given to orphanage = Rs.	p
   	10

   
   

   Remaining amount = Rs.	9p
   	10

   
   

   Remaining amount after depositing in bank = 80% of	9p
   	10

   
   

   = Rs.		9p	×	80
   		10		100

   
   

   = Rs.	18p
   	25

   
   According to the question,
   

   	18p	= 7200
   	25

   
   ⇒ 18p = 25 × 7200
   

   ⇒ p =	25 × 7200	= Rs. 10000
   	18

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