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A sum of Rs. 4,200 is divided among A, B, C and D such that the share of B is equal to \(\frac{2}{3}\)of the share of C and the share of C is equal to \(\frac{9}{13}\) of the share of D. If the ratio of the share of A and B is 8 : 9, then the difference between the shares of B and D will be:1. Rs. 8602. Rs. 8823. Rs. 8404. Rs.924 |
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Answer» Correct Answer - Option 2 : Rs. 882 Given: B's share = (2/3) of C's share C's share = (9/13) of D's share Ratio of share of A to B = 8 : 9 Concept used: A's share + B's share + C's share + D's share = 4200 Calculation: Let the share of D is x. Then, C's share = 9x/13 B's share = 18x/39 A's share = {(18x/39)/9} × 8 ⇒ 16x/39 According to question, (16x/39) + (18x/39) + (9x/13) + x = 4200 ⇒ (16x + 18x + 27x + 39x)/39 = 4200 ⇒ 100x/39 = 4200 ⇒ 100x = 163800 ⇒ x = 1638 A's share = (16 × 1638)/39 ⇒ 26208/39 ⇒ 672 B's share = (18 × 1638)/39 ⇒ 29484/39 ⇒ 756 C's share = (9 × 1638)/39 ⇒ 14742/39 ⇒ 378 D's share = 1638 Difference between B's share and D's share = 1638 - 756 ⇒ 882 ∴ The difference between D's share and B's share is Rs. 882. |
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