Question

for an article the profit is 170% of Cost Price.If the Cost Price increases bt 20 % but the Sell Price remains same,than what is the new profit %?

Answer 1

Let the C.P = ₹100
profit is 170% of Cost Price
> profit = 170/100* (100)= 170

s.p = c.p + profit = 100+170=270

now
Cost Price increases bt 20 % but the Sell Price remains same
New C.p = 120/100*(100) = 120
s.p = 270 (same)

Profit = s.p-c.p = 270-120 = 150
Profit % = profit/c.p *100
= 150/120 * 100 = 5/4 *100 = 125 %

Answer 2

Answer:

Given,

profit = 170% of cost price

second case:

cost price increase by 20%

selling price remains same

to find:

new profit%

Explanation:

Let the cost price be x

profit = 170% of x

$sp = \frac{100 + profit}{100} \times cp$

$sp = \frac{100 + 170}{100} \times x$

$sp = \frac{270}{100} \times x$

$sp = \frac{27x}{10}$

now the cp increases by 20%

new cp = 120% of x

new cp = $\frac {6x}{5}$

sp remains same

sp = $\frac {27x}{10}$

Profit = SP - CP

profit = $\frac {27x}{10} - \frac {6x}{5}$

profit = $\frac {27x}{10} - \frac {12x}{10}$

profit = $\frac {15x}{10}$

profit % = $\frac {Profit}{CP} /times 100$

profit % = $\frac {1.5x}{1.2x} /times 100$

profit % = $\frac {5}{4} /times 100$

profit% = 125%