+91-8076753736 [email protected]
logo
logo

Percentage

Sponsor Area

Question
SSCCGLENQA12042291
Wired Faculty App

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
Wired Faculty App

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
Wired Faculty App

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,
    rightwards double arrow space space space straight x space space cross times space space 125 over 100 space cross times space 96 over 100 space cross times space 125 over 100 space cross times space 96 over 100 space cross times space 125 over 100 space equals space 72000 rightwards double arrow space space straight x space cross times space 5 over 4 space cross times space 24 over 25 space cross times space 5 over 4 space cross times space 24 over 25 space cross times space 5 over 4 space equals space 72000 rightwards double arrow space space space straight x space cross times space 9 over 5 space equals space 72000 rightwards double arrow space space space straight x space equals space fraction numerator 72000 space cross times space 5 over denominator 9 end fraction space equals space Rs. space 40000

Question
SSCCGLENQA12042175
Wired Faculty App

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
Wired Faculty App

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
                   equals space open parentheses fraction numerator 37.5 space minus space 25 over denominator 25 end fraction close parentheses space cross times space 100 equals space fraction numerator 12.5 over denominator 25 end fraction space cross times space 100 space equals space 50 percent sign
   
   

Sponsor Area

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

2