Question
Download Solution PDFA sum of Rs. 7,560 is divided between A, B and C such that the ratio of the share of A to the combined share of B and C is 5 ∶ 9 and the ratio of the share of C to the combined share of A and B is 3 ∶ 7. What is the share of B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Share of A : Share of (B + C) = 5 : 9
Share of C : Share of (A + B) = 3 : 7
A + B + C = 7560
Calculation:
A : (B + C) = 5 : 9 and C : (A + B) = 3 : 7
A + B + C = 7560
Let the share of A = 5x and B + C = 9x
⇒ 5x + 9x = 7560
⇒ x = 7560/14 = 540
So, the share of A = 5 × 540 = 2700
And (B + C) = 9 × 540 = 4860 -----(1)
Similarly, Let the share of C = 3x and (A + B) = 7x
⇒ 3x + 7x = 7560
⇒ x = 7560/10 = 756
So, the share of C = 3 × 756 = 2268
Put the value of C in equation (1)
⇒ B + 2268 = 4860
⇒ B = 4860 - 2268 = 2592
Hence, the share of B is Rs.2592.
Last updated on May 26, 2025
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