Percentage

Sponsor Area

Question
SSCCGLENQA12042291

20% of a man's salary is paid as rent, 60% are his living expenses and 10% are his savings. If he spends remaining ₹ 30 on the education of his children, find his salary

  • ₹ 300/-

  • ₹ 900/-

  • ₹ 3,000/-

  • ₹ 9,000 /-

Solution

A.

₹ 300/-

Remaining spending is (100 - 20 - 60 - 10)% = 10%
Now, 10% =  ₹ 30 
or   100% = ₹ 300/-
Therefore, his salary is ₹ 300/-

Sponsor Area

Question
SSCCGLENQA12043096

72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is

  • 200

  • 240

  • 250

  • 320

Solution

C.

250

Percentage of students opting for both subjects
 = 72 + 44 - 100 = 16
No of students opt for both subjects  = 40
16% = 40
rightwards double arrow space space open parentheses 16 over 100 space equals space 40 close parentheses
∴    Total no of students = open parentheses fraction numerator 40 space cross times space 100 over denominator 16 end fraction close parentheses space equals space 250


Question
SSCCGLENQA12043259

A businessman's earning increases by 25% in one year but decreases by 4% in the next year. Going by this pattern, after 5 years, his total earnings would be Rs. 72000. What is his present earning?

  • Rs. 10000

  • Rs. 80000

  • Rs. 40000

  • Rs. 54000

Solution

C.

Rs. 40000

Let the business man's present earning be Rs. x
According to the question,
    WiredFaculty

Question
SSCCGLENQA12042175

A man spends 60% of his income on different expenditures. His income is increased by 20% and his expenditure also increased by 10%. Find the percentage decreased in his saving?

  • 10%

  • 15%

  • 20%

  • 25%

Solution

A.

10%

Let, income of a person  = ₹ 100
∴  Spend on different expenses  = ₹ 60
∴ Total saving  = 100 - 60 = ₹ 40
Now, income after increment of 20% = 120 over 100 cross times 100 space space equals space ₹ space 120
and expenses after increment of 10% = 120 x (60 + 10)%
                                                       = 120 x 70 over 100 equals ₹ space 84
∴   New saving  = 120 - 84 = ₹ 36
Now, percentage of decrease = open parentheses fraction numerator 40 minus 36 over denominator 40 end fraction close parentheses cross times 100
                                          = 4 over 40 cross times 100 space equals 100 over 10 space equals space 10 percent sign

Question
SSCCGLENQA12043260

A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings.

  • 25%

  • 50%

  • 15%

  • 10%

Solution

B.

50%

Let man's income be Rs. 100.
∴      Expenditure = Rs. 75
        Savings = Rs. 25
After increase:
New income =  Rs. 120
Expenditure = open parentheses fraction numerator 75 space cross times space 110 over denominator 100 end fraction close parentheses space equals space Rs space 82.5 space
Savings = Rs 120 - Rs 82.5 = Rs. 37.5
∴     Percentage increase in savings
                   WiredFaculty
   
   

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