Difficulty: Easy
Correct Answer: Rs. 660
Explanation:
Introduction / Context:
This question is a standard application of ratio based distribution of money. We are given the ratio of amounts received by A and B, along with the actual amount received by B. From this, we have to compute the total amount shared between them. This is one of the most basic kinds of ratio questions used in competitive exams.
Given Data / Assumptions:
Concept / Approach:
Let the common ratio factor be k. Then A = 5k and B = 6k. Since B's share is given as Rs. 360, we equate 6k = 360 and solve for k. Once k is known, A's share is 5k and the total amount is A + B = 11k. This is a direct and simple use of ratios to determine actual amounts.
Step-by-Step Solution:
Given A : B = 5 : 6.Let A = 5k and B = 6k.Given B = Rs. 360, so 6k = 360.Therefore, k = 360 / 6 = 60.Then A = 5k = 5 * 60 = Rs. 300.Total amount = A + B = 300 + 360 = Rs. 660.
Verification / Alternative check:
Check the ratio A : B using the found values.A : B = 300 : 360 = 5 : 6 after dividing both numbers by 60.This matches the given ratio, so the values are consistent.
Why Other Options Are Wrong:
If the total were Rs. 560, 680 or 580, the corresponding value of A obtained by subtracting 360 would not give the ratio 5 : 6. For example, if total = 720, then A would be 360 and the ratio A : B would be 360 : 360 = 1 : 1, which is not 5 : 6. Therefore only Rs. 660 satisfies both the given ratio and B's known share.
Common Pitfalls:
Some students mistakenly treat the ratio 5 : 6 as percentages or incorrectly assume that B's share is 6% of the total. Ratios express relative parts, not percentages directly. The reliable approach is always to assign a common factor k to each term, convert the known share into an equation, solve for k, and then derive the other amounts from it.
Final Answer:
The total amount of money is Rs. 660.
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