Question

A fruit seller bought x mangoes for ` 1500. As 5 of these were spoilt, he sold each of the rest for
` 10 more than he had paid for. He made neither profit nor loss.

Answer 1

Answer:

The mangoes he brought = x = 30 mangoes

Step-by-step explanation:

Mangoes bought by him = x

total money expended = 1500

price of each mango = 1500/x

total mangoes left = x-5

total money gained by selling mangoes = 1500

price he soled each mango = (1500/x) + (10) ____ ( given ) = ((10x + 1500) / (x))

so, as he has no loss and profit,

$\frac{10x + 1500}{x} \times (x - 5) = 1500 \\ \frac{10 {x}^{2} - 50x + 1500x - 7500}{x} = 1500 \\ 10 {x}^{2} - 50x + 1500x - 7500 = 1500x \\ 10 {x}^{2} - 50x - 7500 = 0 \\ {x}^{2} - 5x - 750 = 0 \\ by \: solving \: the \: above \: equation \\ \: we \: have \: x = 30$