Question

Aman's expense is 30% more than vimal's and vimal's expense is 10% less than raman's. If the sum of their expenses is rs. 6447, then what would be aman's expense?

Answer 1

The expanded is 1934

Answer 2

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$\sf{\underline{\pink{Answer-}}}$

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• Aman's expense is ₹ 2457.

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$\sf{\underline{\pink{Given-}}}$

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• Aman's expense is 30% more than vimal's and vimal's expense is 10% less than raman's. If the sum of their expenses is rs. 6447.

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$\sf{\underline{\pink{We\:Have\:To\:Find-}}}$

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• What would be aman's expense?

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$\sf{\underline{\pink{Explanation-}}}$

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$\sf{Let \: Raman's \: expense \: be \: Rs \: x}.$

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$\sf{Then, \: Vimal's \: expense \: = \: 90\% \: of \: Rs \: x}$

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$\sf{= \: Rs \: [ \frac{90}{100} \times x] = \: Rs \: \frac{9}{10}x}$

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$\sf{\underline{\pink{As\:We\:Know\:-}}}$

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$\sf{Aman's \: expense \: is \: 30\%\: more\: than \: Vimal's \: expense}$

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➨⠀$\sf \: Rs [\frac{130}{100} \times \frac{9x}{10}]= \: Rs \: \frac{117x}{100}$

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$\sf \: Sum \: of \: their \: expenses \: = \: Rs \: 6447.$

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➨⠀$\sf \: x+ \frac{9x}{10} + \frac{177x}{100} = \: 6447$

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➨⠀$\sf \: \frac{100x \: + \: 90x \: + \: 117x}{100} = 6447$

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➨⠀$\sf \: 307x \:= \:645700$

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➨⠀$\sf\: x= \frac{644700}{307} = \: 2100$

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➨⠀$\sf \: Rs \: \frac{117 \times 2100}{100} = Rs\:2457.$

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• Hence, Aman's expense is ₹ 2457.