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DEEPAK KHIRWAR

· started a discussion

· 1 Months ago

please provide the solution in shortcut (Question: 164283.0 )

solve it

Question:
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the S.P is the profit?
Options:
A) 30%
B) 70%
C) 100%
D) 250%
Solution:
Profit = 320% of C.P

let the C.P be x

\(\Rightarrow\)profit = \({320*x \over 100}={32x \over 10}={16x \over 5}Rs.\)

\(\Rightarrow\)S.P = \({16x \over 5}+x\)

\(\Rightarrow\)S.P = 21x / 5

Now cost increases by 25%

\(\Rightarrow\)New C.P = \(x+{x*25 \over 100}\)

          C.P = 5x / 4 Rs.

But S.P = 21x / 5 (const)

\(\Rightarrow\)profit % of S.P = \(({21x \over 5}-{5x \over 4})*100\over{21x \over 5}\)

                          = \({84x-25x \over 20}*100\over{21x \over 5}\)

                          = \({59x*5*5 \over 21x}\)

                          = 70.23

                          ~ 70%

Knowledge Expert

· commented

· 1 Months ago

Dear student
Given answer is correct
Let the CP = 100
Given P%=320
SP = 100 x (100 + 320)%
SP = 420
Now cost increases by 25%
New CP = 125
SP is same
profit % of SP = (420 - 125) / 420 x 100 = 70.23%


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