If ₹2,400 is to be distributed between A and B in the ratio of 7 : 5, then the share of A is:

Question

Examoogle · Accepted Answer

The correct answer is Option A: ₹1,400. Sum the ratio terms ($7 + 5 = 12$). Since $12$ units equal ₹2,400, 1 unit equals ₹2,400 / 12 = ₹200. A's share is $7 	imes 200 = 	ext{₹}1,400$.

Step-by-Step Solution & Concepts:
Shortcut Trick: Sum the ratio terms ($7 + 5 = 12$). Since $12$ units equal ₹2,400, 1 unit equals ₹2,400 / 12 = ₹200. A's share is $7 	imes 200 = 	ext{₹}1,400$.

Formula Used: $$	ext{Share of A} = 	ext{Total Amount} 	imes \frac{	ext{Ratio of A}}{	ext{Sum of Ratios}}$$

Given: Total amount = ₹2,400, Ratio of A to B = 7 : 5

Steps: Step 1: Find the sum of ratio terms: The given ratio between A and B is $7 : 5$. Therefore, the total number of ratio parts is: $$7 + 5 = 12$$. Step 2: Calculate the value of one ratio unit: Divide the total amount of ₹2,400 by the total ratio parts (12): $$	ext{Value of 1 part} = \frac{2400}{12} = 200$$. Step 3: Determine the share of A: Multiply A's ratio (7) by the value of one unit (200): $$	ext{Share of A} = 7 	imes 200 = 1400$$

Answer: A is correct because the calculated share of A is ₹1,400.

Exam Tip: Proportional division is widely used in partnership accounts, profit sharing, and mixture problems in competitive examinations.

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