Question

the difference in prices when an article is sold at a profit of 4% and at a profit of 6% is rupees 3 find the selling price of the commodity in the two cases​

Answer 1

Answer:

In case 1,

when profit % = 4,

S.P = 156 Rupees

In case 2,

when profit % = 6,

S.P = 159 Rupees

Step by Step explanation -:

CASE 1

Let the C.P in this case be X,

given,

profit percent = 4%

Therefore,

$then \: profit \: = \frac{4}{100} x$

Now,

S.P = C.P + P

so,

S.P = X + 4X/100

= (100 X + 4X)/ 100 [by taking LCM]

= 104X/100

CASE 2

given profit % = 6

$so \: profit \: is \: \frac{6}{100} x \\ now \: s.p \: = x + \frac{6}{100} x \\ or \: s.p \: = \frac{106}{100} x$

Now,

It is given to us that

the diff. between the prices is 3 rupees.

so,

Sp2 -Sp1 = 3 rupees

therefore,

$\frac{106}{100} x - \frac{104}{100} x = 3 \\ so \ \frac{2}{100} x = 3 \\ x = \: \frac{3 \times 100}{2} \\ x = 150 \: rupees$

Now that you have X,

find Sp1 and Sp2,

Sp1 = 104X/100

so,

Sp1= (104 × 150)/100

Sp1 = 156 Rupees

Now, Sp2 = 106X/100

so,

Sp2 = (106 × 150)/ 100

Sp2 = 159 Rupees

I really hope you understood the problem!

If you have doubts, you may ask :)

Answer 2

Answer is here. Hope it helps.....