a debtor can pay 87 paise in the rupee but if..., Percentage, General Mathematics

Question:A debtor can pay `87` paise in the rupee, but if his creditors would take `20%` of his debts he could pay them and have Rs. `42` left. His debts and assets respectively are

A `Rs. 600, Rs. 522` 
B `Rs. 500, Rs. 521` 
C `Rs. 400, Rs. 520` 
D `Rs. 1000, Rs. 525`

/114

+ AnswerA

+ ExplanationLet the total debt = x. 

Asset with him `= 87/(100) x.`

After paying `20%` of the debt, he is left with `80%` of the debt plus 

Rs.` 42.`

`:. 80% of x + 42`

`= 87/(100) x or 87/(100) x - 80/(100) x`

`= 42 or x = 600.`

:. Debt `= Rs. 600 &` Assets

`= 87/100 xx 600`

`= Rs. 522.`

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