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The difference between [3/5] of [2/3] a number and [2/5] of[1/4] of the same number is 288. What is the number?
- a)960
- b)850
- c)895
- d)955
- e)44%
Correct answer is option 'A'. Can you explain this answer?
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The difference between [3/5] of [2/3] a number and [2/5] of[1/4] of th...
Let the current price be Rs. 100.
For getting 12% profit he should sell it at Rs. 112.
Let the label price be x.
Let the no. Be [3/5]*[{2/5}x]-[2/5]*[1/4]x,then = 288 Solving it we will get 960
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The difference between [3/5] of [2/3] a number and [2/5] of[1/4] of th...
The Difference between [3/5] of [2/3] a Number and [2/5] of [1/4] of the Same Number is 288. What is the Number?
To solve this problem, we need to break it down into smaller steps. Let's start by assigning variables to the unknown values.
Let the number be represented by 'x'.
Step 1: Calculate [3/5] of [2/3] of the Number
[3/5] of [2/3] of the number can be calculated as:
(3/5) * (2/3) * x = 6/15 * x = 2/5 * x
Step 2: Calculate [2/5] of [1/4] of the Number
[2/5] of [1/4] of the number can be calculated as:
(2/5) * (1/4) * x = 2/20 * x = 1/10 * x
Step 3: Find the Difference
The difference between [3/5] of [2/3] of the number and [2/5] of [1/4] of the number is given as 288. So, we can write:
(2/5 * x) - (1/10 * x) = 288
Step 4: Solve the Equation
To solve the equation, we can simplify the expression on the left-hand side:
(4/10 * x) - (1/10 * x) = 288
(3/10 * x) = 288
Multiplying both sides of the equation by 10/3:
x = (288 * 10/3) = 960
Step 5: Determine the Number
The number is 960, which corresponds to option 'A'.
Therefore, the correct answer is option 'A'.
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