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There is a certain amount of which A takes 30% then B takes 60% of the remaining amount, then C takes 80% of the remaining amount. Now if the amount left is 2,536.8 then what is the actual sum?
- a)Rs. 45,300
- b)Rs. 45,500
- c)Rs. 42,600
- d)Rs. 48,400
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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There is a certain amount of which A takes 30% then B takes 60% of the...
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There is a certain amount of which A takes 30% then B takes 60% of the...
Given information:
- A takes 30% of a certain amount.
- B takes 60% of the remaining amount after A's share.
- C takes 80% of the remaining amount after B's share.
- The amount left after all these transactions is 2,536.8.
Let's solve this problem step by step:
Step 1: Let's assume the initial amount as 'X'.
Step 2: A takes 30% of X, which is 0.3X. So, the remaining amount is X - 0.3X = 0.7X.
Step 3: B takes 60% of the remaining amount, which is 0.6 * (0.7X) = 0.42X. So, the remaining amount after B's share is 0.7X - 0.42X = 0.28X.
Step 4: C takes 80% of the remaining amount, which is 0.8 * (0.28X) = 0.224X. So, the amount left after C's share is 0.28X - 0.224X = 0.056X.
Given that the amount left is 2,536.8, we have:
0.056X = 2,536.8
Step 5: To find the value of X, we divide both sides of the equation by 0.056:
X = 2,536.8 / 0.056
X ≈ 45,300
Therefore, the actual sum is approximately Rs. 45,300, which matches with option A.
- A takes 30% of a certain amount.
- B takes 60% of the remaining amount after A's share.
- C takes 80% of the remaining amount after B's share.
- The amount left after all these transactions is 2,536.8.
Let's solve this problem step by step:
Step 1: Let's assume the initial amount as 'X'.
Step 2: A takes 30% of X, which is 0.3X. So, the remaining amount is X - 0.3X = 0.7X.
Step 3: B takes 60% of the remaining amount, which is 0.6 * (0.7X) = 0.42X. So, the remaining amount after B's share is 0.7X - 0.42X = 0.28X.
Step 4: C takes 80% of the remaining amount, which is 0.8 * (0.28X) = 0.224X. So, the amount left after C's share is 0.28X - 0.224X = 0.056X.
Given that the amount left is 2,536.8, we have:
0.056X = 2,536.8
Step 5: To find the value of X, we divide both sides of the equation by 0.056:
X = 2,536.8 / 0.056
X ≈ 45,300
Therefore, the actual sum is approximately Rs. 45,300, which matches with option A.
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There is a certain amount of which A takes 30% then B takes 60% of the remaining amount, then C takes 80% of the remaining amount. Now if the amount left is 2,536.8 then what is the actual sum?a)Rs. 45,300b)Rs. 45,500c)Rs. 42,600d)Rs. 48,400e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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