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Aman's expense is 30% more than Vimal's expense and Vimal's expense is 10% less than Raman's expense. If the sum of their expenses is Rs. 6447, then what would be the Aman's expense?1). Rs. 2200 2). Rs. 24573). Rs. 18904). Rs. 2100 |
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Answer» LET expenses of AMAN, VIMAL and Raman be Rs. m , Rs. p and Rs. N respectively. Given, ⇒ m = p + p × 30/100 ⇒ m = 13p/10 ⇒ p = 10m/13 Given, ⇒ p = n – n × 10/100 ⇒ p = 9n/10 As, ⇒ 10m/13 = 9n/10 ⇒ n = 100M/117 Given, ⇒ m + n + p = 6447 ⇒ m + 10m/13 + 100m/117 = 6447 ⇒ 117m + 90m + 100m = 6447 × 117 ⇒ 307m = 6447 × 117 ⇒ m = 2457 ∴ Aman expenses is Rs. 2457 |
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