Quantitative Aptitude
RATIO AND PROPORTION MCQs
Ratio & Proportion, Ratio, Proportion
Let's denote the first man's daily output as x and the second man's daily output as y.According to the question, we have:
- 40% of x = 60% of y
- x = 1440
Substituting x in the first equation, we get:0.4 * 1440 = 0.6 * y
Simplifying, we get:576 = 0.6 * y
Dividing both sides by 0.6, we get:y = 960
Therefore, the second man's output in terms of the number of toys is 960.
Formula:
- Percentage = (Part/Whole) * 100
- To solve the problem, we need to use the formula for percentage.
- We can solve for one of the variables by using the given information, and then use that value to solve for the other variable.
- In this case, we can solve for x using the given value and then use that value to solve for y.
If you think the solution is wrong then please provide your own solution below in the comments section .
Let the amount X gets be Rs. x.
Then, Y gets 45/100 of x = 9/20 of x and Z gets 30/100 of x = 3/10 of x.
Given, Y gets Rs. 27.
So, 9/20 of x = 27
⇒ x = (27 × 20)/9 = Rs. 60
Total amount = Rs. (x + 9/20x + 3/10x) = Rs. (60 + 27 + 18) = Rs. 105
Therefore, the correct answer is option C) Rs. 105.
Key takeaways and formulas:
- In a ratio distribution problem, the sum of the ratios is the total number of parts. For instance, in this problem, the sum of the ratios is 1 + 45/100 + 30/100 = 1.75, which means there are 1.75 parts in total.
- To find the share of each person, we multiply the total amount by the ratio they get. For example, if X gets x, then Y gets (45/100)x and Z gets (30/100)x.
- We can also use proportions to solve the problem. For example, if Y gets Rs. 27, we can set up the proportion (45/100)x/((9/20)x) = 27/1 and solve for x.
- The total amount is the sum of the individual shares, which is x + (45/100)x + (30/100)x.
• The given box contains a total of 160 Rupees and the ratio of one rupee, 50 paisa and 25 paisa coins is 4:5:6.
• Let us assume ‘x’ number of one rupee coins, ‘y’ number of 50 paisa coins and ‘z’ number of 25 paisa coins, then the equation can be written as:
• 1x + 0.50y + 0.25z = 160
• We can rewrite the equation as 4x + 5y + 6z = 800
• Now, we can solve the equation using the expressions of x, y, and z
• x + 2y + 4z = 400
• On solving, we get
x = 400 – 2y – 4z
• Substituting the value of x in 4x + 5y + 6z = 800
• 400 + 5y + 6z = 800
• 5y + 6z = 400
• On solving, we get
y + 2z = 80
• Substituting the value of y in x + 2y + 4z = 400
• 400 – 2(80-2z) – 4z = 400
• 8z = 320
• On solving, we get
z = 40
• Therefore, the required number of 25 paisa coins is 40.
Hence, the correct answer is Option C.
If you think the solution is wrong then please provide your own solution below in the comments section .