Question:
What number must be subtracted from each term of the ratio 87:223 to make the ratio 5:13?
What number must be subtracted from each term of the ratio 87:223 to make the ratio 5:13?
Show Hint
For ratio adjustments, use cross-multiplication to find the value to be added or subtracted.
Updated On: Mar 25, 2025
- 4
- 2
- 6
- 8
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Set up the equation
Let \( x \) be the number subtracted. Then: \[ \frac{87 - x}{223 - x} = \frac{5}{13} \] Step 2: Solve for \( x \)
Cross multiplying: \[ (87 - x) \times 13 = (223 - x) \times 5 \] \[ 1131 - 13x = 1115 - 5x \] \[ 16 = 8x \] \[ x = 6 \] Thus, the correct answer is 6.
Let \( x \) be the number subtracted. Then: \[ \frac{87 - x}{223 - x} = \frac{5}{13} \] Step 2: Solve for \( x \)
Cross multiplying: \[ (87 - x) \times 13 = (223 - x) \times 5 \] \[ 1131 - 13x = 1115 - 5x \] \[ 16 = 8x \] \[ x = 6 \] Thus, the correct answer is 6.
Was this answer helpful?
0
0
Top BHU PET Quantitative Aptitude Questions
- \(|2| + |-2| + (2)^2 + (-2)^2 = ?\)
- The side of a square is 10 cm. How many times will the new perimeter become if the side of the square is doubled?
- \((2^2)^3 \times (2^3)^2 = ?\)
- To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him ₹360 as:
- The place value of zero in 1341.01 is:
View More Questions
Top BHU PET Ratio Questions
Top BHU PET Questions
- Which of the following was the first planet in the solar system to be visited by a spacecraft?
- The first effective vaccine against polio was prepared by:
- Which of the following disease is not transmitted by Aedes aegypti?
- The period of the business cycle in which real GDP is increasing is called the:
- With regressive tax system, as income:
View More Questions