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Padma purchased a box of chocolates. She ate 20% of them and gave 25% of the remaining chocolates to her friends. Again, she ate 20% of it and gave 25% of the remaining chocolates to her friends. Then, she gave 8 chocolates to a guest. Finally, she is left with 35% of the chocolates that she initially had. How many chocolates did Padma eat?
- a)128
- b)200
- c)256
- d)500
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Padma purchased a box of chocolates. She ate 20% of them and gave 25% ...
Assume that the box contains x number of chocolates.
Remaining = 0.36x
Given:
0.36x - 8 = 0.35x
x = 800
She had 800 chocolates.
She ate 0.2x + 0.12x = 0.32x = 256 chocolates.
Remaining = 0.36x
Given:
0.36x - 8 = 0.35x
x = 800
She had 800 chocolates.
She ate 0.2x + 0.12x = 0.32x = 256 chocolates.
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Community Answer
Padma purchased a box of chocolates. She ate 20% of them and gave 25% ...
Let's assume that Padma initially had x chocolates.
Padma ate 20% of the chocolates, which means she ate 0.2x chocolates.
The remaining chocolates after eating 20% is (x - 0.2x) = 0.8x chocolates.
Padma gave 25% of the remaining chocolates to her friends, which means she gave away 0.25 * 0.8x = 0.2x chocolates.
The remaining chocolates after giving away 25% is (0.8x - 0.2x) = 0.6x chocolates.
Padma again ate 20% of the remaining chocolates, which means she ate 0.2 * 0.6x = 0.12x chocolates.
The chocolates remaining after eating 20% is (0.6x - 0.12x) = 0.48x chocolates.
Padma then gave 8 chocolates to a guest, so the chocolates remaining after giving away 8 is (0.48x - 8).
According to the question, Padma is left with 35% of the chocolates that she initially had.
So, (0.48x - 8) = 0.35x.
We can solve this equation to find the value of x.
0.48x - 8 = 0.35x
0.48x - 0.35x = 8
0.13x = 8
x = 8 / 0.13
x ≈ 61.54
Therefore, Padma initially had approximately 61.54 chocolates.
To find out how many chocolates Padma ate, we need to subtract the chocolates she is left with from the initial amount.
Chocolates eaten = Initial chocolates - Chocolates left
Chocolates eaten = 61.54 - 0.35 * 61.54
Chocolates eaten ≈ 61.54 - 21.54
Chocolates eaten ≈ 40
Therefore, Padma ate approximately 40 chocolates.
Padma ate 20% of the chocolates, which means she ate 0.2x chocolates.
The remaining chocolates after eating 20% is (x - 0.2x) = 0.8x chocolates.
Padma gave 25% of the remaining chocolates to her friends, which means she gave away 0.25 * 0.8x = 0.2x chocolates.
The remaining chocolates after giving away 25% is (0.8x - 0.2x) = 0.6x chocolates.
Padma again ate 20% of the remaining chocolates, which means she ate 0.2 * 0.6x = 0.12x chocolates.
The chocolates remaining after eating 20% is (0.6x - 0.12x) = 0.48x chocolates.
Padma then gave 8 chocolates to a guest, so the chocolates remaining after giving away 8 is (0.48x - 8).
According to the question, Padma is left with 35% of the chocolates that she initially had.
So, (0.48x - 8) = 0.35x.
We can solve this equation to find the value of x.
0.48x - 8 = 0.35x
0.48x - 0.35x = 8
0.13x = 8
x = 8 / 0.13
x ≈ 61.54
Therefore, Padma initially had approximately 61.54 chocolates.
To find out how many chocolates Padma ate, we need to subtract the chocolates she is left with from the initial amount.
Chocolates eaten = Initial chocolates - Chocolates left
Chocolates eaten = 61.54 - 0.35 * 61.54
Chocolates eaten ≈ 61.54 - 21.54
Chocolates eaten ≈ 40
Therefore, Padma ate approximately 40 chocolates.
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Padma purchased a box of chocolates. She ate 20% of them and gave 25% of the remaining chocolates to her friends. Again, she ate 20% of it and gave 25% of the remaining chocolates to her friends. Then, she gave 8 chocolates to a guest. Finally, she is left with 35% of the chocolates that she initially had. How many chocolates did Padma eat?a)128b)200c)256d)500Correct answer is option 'C'. Can you explain this answer?
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