Select the correct answerIn a business partnership among A,B,C and D, the profit is shared as follows AB = BC = CD = 1:3 If the total profit is Rs. 4,00,000, the share of C is?OptionsRs. 1,37,500Rs. 1,12,500Rs. 90,000Rs.
Question
Select the correct answerIn a business partnership among A,B,C and D, the profit is shared as follows AB = BC = CD = 1:3 If the total profit is Rs. 4,00,000, the share of C is?OptionsRs. 1,37,500Rs. 1,12,500Rs. 90,000Rs.
Solution
The problem states that the profit is shared among A, B, C, and D in the ratio AB = BC = CD = 1:3. This means that the profit is divided into parts, where each part is a ratio.
Step 1: Determine the total number of parts. Since AB = BC = CD = 1:3, we can say that A:B = 1:3, B:C = 1:3, and C:D = 1:3. This means that B's share is 3 parts from A and 1 part from C, so B's total share is 4 parts. Similarly, C's share is 3 parts from B and 1 part from D, so C's total share is also 4 parts. A's share is 1 part, and D's share is 3 parts. So, the total number of parts is 1 (A's share) + 4 (B's share) + 4 (C's share) + 3 (D's share) = 12 parts.
Step 2: Determine the value of each part. The total profit is Rs. 4,00,000, so each part is worth Rs. 4,00,000 / 12 = Rs. 33,333.33.
Step 3: Determine C's share. C's share is 4 parts, so C's share is 4 * Rs. 33,333.33 = Rs. 1,33,333.33.
However, this option is not available in the given options. There might be a mistake in the problem or the options.
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