arrow
arrow
arrow
The first and second numbers are, respectively, 35% and 45% less than the third number. The second number is what percentage of the first number?
Question

The first and second numbers are, respectively, 35% and 45% less than the third number. The second number is what percentage of the first number?

A.

64712%64\frac{7}{12}\%

B.

79219%\frac{2}{19}\%

C.

83813%\frac{8}{13}\%

D.

84813%\frac{8}{13}\%

Correct option is D

Given:
First number is 35% less than the third number
Second number is 45% less than the third number
Formula Used:
Percentage=(Second NumberFirst Number)×100\text{Percentage} = \left( \frac{\text{Second Number}}{\text{First Number}} \right) \times 100​​
Solution:
Let Third number = 100
First number = 100 - 35% of 100 = 65
Second number = 100 - 45% of 100 = 55
Percentage = 5565\frac{55}{65}​ × 100 = 84813%\frac{8}{13}\%​​

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC GD’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow