Difficulty: Easy
Correct Answer: 24000
Explanation:
Introduction / Context:
This is a straightforward ratio and proportion question related to partnership profits. Three partners share a fixed profit amount in a given ratio. We need to determine how much one partner, Chirag, receives based on the total profit and the specified ratio. Such questions are very common in aptitude exams and help test basic arithmetic and ratio handling skills.
Given Data / Assumptions:
Concept / Approach:
When an amount is divided in a given ratio, each person's share is equal to (their ratio part / total of all parts) multiplied by the total amount. First, we compute the sum of ratio parts: 6 + 4 + 3. Then, we calculate Chirag's share as 3 parts out of the total parts, multiplied by the total profit. This yields the exact rupee amount Chirag should receive.
Step-by-Step Solution:
Profit-sharing ratio of Ashok : Bimla : Chirag = 6 : 4 : 3.
Total number of parts = 6 + 4 + 3 = 13.
Total profit = Rs. 1,04,000.
Chirag's share corresponds to 3 parts out of 13.
Value of one part = Total profit / total parts = 1,04,000 / 13.
Compute 1,04,000 / 13 = 8,000.
Chirag's share = 3 * 8,000 = Rs. 24,000.
Verification / Alternative check:
We can also compute each partner's share to verify the total. Ashok gets 6 parts = 6 * 8,000 = Rs. 48,000. Bimla gets 4 parts = 4 * 8,000 = Rs. 32,000. Chirag gets 3 parts = Rs. 24,000. Sum = 48,000 + 32,000 + 24,000 = Rs. 1,04,000, which matches the total profit. Therefore, the division is correct and consistent with the ratio.
Why Other Options Are Wrong:
32,000: This is Bimla's share, not Chirag's.
48,000: This corresponds to Ashok's share, the partner with 6 parts.
12,000 and 36,000: No partner receives these amounts; they do not satisfy 6 : 4 : 3 when summed to 1,04,000.
Common Pitfalls:
A common mistake is to divide the total directly by 3 assuming equal shares, or to miscalculate the sum of ratio terms. Others mix up which partner corresponds to which ratio number. Always label clearly and compute the total number of parts before finding each share. This approach avoids confusion even in more complex ratio questions.
Final Answer:
Chirag receives Rs. 24,000 from the total profit.
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