An amount of Rs. 915 is divided among A, B and C. If each of them received Rs. 25 less, their shares would be in the ratio of 1 : 3 : 2. Find the original share of C.
Question
An amount of Rs. 915 is divided among A, B and C. If each of them received Rs. 25 less, their shares would be in the ratio of 1 : 3 : 2. Find the original share of C.
Solution
Step 1: Let's assume the shares of A, B, and C after each of them received Rs. 25 less are x, 3x, and 2x respectively.
Step 2: According to the problem, the total amount they received after Rs. 25 less is Rs. 915 - Rs. 75 (since each of them received Rs. 25 less). So, we have x + 3x + 2x = 915 - 75.
Step 3: Simplify the equation to get 6x = 840.
Step 4: Solve for x. x = 840 / 6 = Rs. 140.
Step 5: Now, we know that the share of C after receiving Rs. 25 less is 2x, which is 2 * 140 = Rs. 280.
Step 6: Therefore, the original share of C is Rs. 280 + Rs. 25 = Rs. 305.
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