Question
Download Solution PDF7,560 रुपये की राशि को A, B और C के बीच इस प्रकार विभाजित किया गया है कि A के हिस्से तथा B और C के संयुक्त हिस्से का अनुपात 5 ∶ 9 है और C के हिस्से तथा A और B के संयुक्त हिस्से से अनुपात 3 ∶ 7 है। B का हिस्सा कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
A का हिस्सा : (B + C) का हिस्सा = 5 : 9
C का हिस्सा : (A + B) का हिस्सा = 3 : 7
A + B + C = 7560
गणना:
A : (B + C) = 5 : 9 और C : (A + B) = 3 : 7
A + B + C = 7560
माना A का हिस्सा = 5x और B + C का हिस्सा = 9x
⇒ 5x + 9x = 7560
⇒ x = 7560/14 = 540
इसलिए, A का हिस्सा = 5×540 = 2700
और (B + C) = 9 × 540 = 4860 -----(1)
इसी प्रकार, माना C का हिस्सा = 3x और (A + B) = 7x है
⇒ 3x + 7x = 7560
⇒ x = 7560/10 = 756
इसलिए, C का हिस्सा = 3×756 = 2268
समीकरण (1) में C का मान रखने पर,
⇒ B + 2268 = 4860
⇒ B = 4860 - 2268 = 2592
अतः B का हिस्सा 2592 रुपये है।
Last updated on Jun 19, 2025
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