Question

6. This year the profit of a factory was 15 % more than last year. This year the profit

was $ 17,480. What was it last year?

​

Answer 1

Answer:

present year profit = Rs17480

profit percentage = g= 15%

let last year price = Rs x

x = (present year profit *100)/(100+g)

= (17480 *100)/(100+15)

= (17480*100)/115

=Rs15200

∴

last year price = x= Rs 15200

Answer 2

$\huge\mathcal\purple{Answer}$

→ Given:

profit % = 15%

this year's profit = $17,480

→ To find:

profit of last year = ?

→ Solution:

assume this last year's profit as x.

x+ 15% of x = 17480

= $x +\frac{15}{100}x = 17840\\ \\ \\</p><p>= x+\frac{3x}{20} = 17840 \\ \\ \\</p><p>= \frac{23x}{20} = 17840$

by cross multiplication

23x = 17840×20

$x = \frac{17840×20}{23}\\ \\ \\</p><p>x = \frac{356800}{23} \\ \\ \\</p><p>{\pink{\boxed{x = 15513.04}}}$

therefore, last year's profit = 15,513.04

Extra information-

${\blue{\boxed{Profit\:percent = \frac{profit}{C.P} × 100}}}$

${\purple{\boxed{Loss\:percent = \frac{loss}{C.P} × 100}}}$