of the total amount received by kiran 205 was spent on..., Percentage, General Mathematics

Question:Of the total amount received by kiran, `205` was spent on purchases and `5%` of the remaining on transportation. If he is left with Rs. `1520`, the initial amount was :

A `Rs. 2800` 
B `Rs. 2000` 
C `Rs. 2400` 
D `Rs. 1600`

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+ AnswerB

+ ExplanationPurchases `= 20% of x = x/5.`Balance

`= x - x/5`

`= (4x)/5`

Transportation `= 5% of (4x)/5`

`= 5/100 xx (4x)/5`

`= x/25.`

Balance`= (4x)5 - x/25`

`= (19x)/25.`

`:. (19x)/25 `

`= 1520 ⇒ x`

`= (1520 xx 25)/19`

`= 2000.`

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