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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?

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? Correct Answer Rs. 2457

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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