Question

by selling a tie at RS285,a shopkeeper loses 5%. At what price should he sell the tie so as to gain 15%

Answer 1

Selling Price = Rs285
Loss % = 5
Selling Price = Cost price - 5/100 * Cost price  [its loss % therefore -]
    285            = (100 Cost price - 5 C.P)/100 
    285            = 95 C.P / 100
C.P = 285 * 100 / 95
C.P = Rs 300

Now he wants to sell the tie at a gain % of 15
so,
New Selling Price = C.P + 15/100 * C.P  [its gain % therefore its +]
                              = 300 + 15/100 * 300
                              = 300 + 45
New Selling Price = Rs 345

Answer 2

Let the cost price of tie (C.P) be x

Therefore x = 100%
$1 percent = \frac{x}{100}$
$5 percent = \frac{5x}{100}= \frac{x}{20}$

Therefore S.P = C.P - 5% of C.P
$S.P=x- \frac{x}{20}= \frac{19x}{20}$
[tex]285= \frac{19x}{20} [/tex]
$x=300$

For New S.P

Rs 300 = 100%
1% = Rs 300/100 = Rs 3
15% = Rs 3*15 = Rs 45

∴New S.P for gain of 15% = C.P + 15% of C.P
                                           = Rs 300 + 45 = Rs 345