Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 2)
2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Answer: Option
Explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
 |
 |
20 - x | x 100 = 25 |  |
| x |
2000 - 100x = 25x
125x = 2000
x = 16.
Video Explanation: https://youtu.be/sidqvjUoZxY
Discussion:
353 comments Page 11 of 36.
Sampath said:
1 decade ago
We have 20*C.P = X*S.P and we have profit of 25% which means (S.P-C.P)/C.P = 25/100 = 1/4.
= 4*S.P = 5*C.P => C.P = 4/5 S.P substitute it in first line 20*4/5 S.P = X*S.P =>16.
S.P = X*C.P => X = 16.
= 4*S.P = 5*C.P => C.P = 4/5 S.P substitute it in first line 20*4/5 S.P = X*S.P =>16.
S.P = X*C.P => X = 16.
Ujwal said:
9 years ago
Total SP = sp of x item +sp of 20-x items=cp+sp of 20-x items.
Profit = total sp - total c p =cp + sp of 20-x items-cp = sp of 20-x items.
Profit % = profit * 100/cp.
i.e. 25=(20-x) * 100/x.
Therefore, x =16.
Profit = total sp - total c p =cp + sp of 20-x items-cp = sp of 20-x items.
Profit % = profit * 100/cp.
i.e. 25=(20-x) * 100/x.
Therefore, x =16.
Shine said:
1 decade ago
Since the CP & SP are equal,
Profit%= ( (no.of items left over) / (no.of items sold) ) *100.
Let no.of items left over left over be X.
(X) / (20-X) = 0.25
On solving, no.of items sold= (20-X) =16.
Profit%= ( (no.of items left over) / (no.of items sold) ) *100.
Let no.of items left over left over be X.
(X) / (20-X) = 0.25
On solving, no.of items sold= (20-X) =16.
Rushikesh said:
7 years ago
We can solve these problem by using another method.
Given 20 C.P.=x S.P --> eq1.
but the profit is 25%.
Therefore, SP=(125/100)*CP.
put above value of SP in eqn 1.
20*CP=x*(125/100)CP.
By solving x=16.
Given 20 C.P.=x S.P --> eq1.
but the profit is 25%.
Therefore, SP=(125/100)*CP.
put above value of SP in eqn 1.
20*CP=x*(125/100)CP.
By solving x=16.
SNR said:
5 years ago
@All.
According to me, the solution is;
CP of 20 articles = SP of x articles.
Profit = 25%.
---> SP = 125% * CP = 1.25 * CP.
---> CP*20 = 1.25*CP*x.
---> 20 = 1.25*x.
---> x = 20/1.25 = 16.
According to me, the solution is;
CP of 20 articles = SP of x articles.
Profit = 25%.
---> SP = 125% * CP = 1.25 * CP.
---> CP*20 = 1.25*CP*x.
---> 20 = 1.25*x.
---> x = 20/1.25 = 16.
Siva said:
5 months ago
Let the CP of 20 articles be 100.
If SP is 25% profit, then it would be 125.
If 20 articles are 100.
Then,
x article is 125.
Just simply multiply the values and equal it;
x * 125 = 20 * 100.
x = 16.
If SP is 25% profit, then it would be 125.
If 20 articles are 100.
Then,
x article is 125.
Just simply multiply the values and equal it;
x * 125 = 20 * 100.
x = 16.
(25)
SHARANG RAINA said:
1 decade ago
Let cost of one article be Rs 1.
i.e 4 CP = Rs 1.
Now CP of 20 articles is equal to SP of x article.
SP*x = 20*1.
SP = 20/x.
We know,
SP = (1+ P/100)*CP.
20/x = (1+(25/100))*1.
x = RS.16 Answer.
i.e 4 CP = Rs 1.
Now CP of 20 articles is equal to SP of x article.
SP*x = 20*1.
SP = 20/x.
We know,
SP = (1+ P/100)*CP.
20/x = (1+(25/100))*1.
x = RS.16 Answer.
Manish said:
1 decade ago
Given C.P of 20 articles = S.P of X articles,
If we consider C.P of 1 article is Rs.1 the S.P of X = 20. from this S.P of 1 articles will be 20/X.
So (20/X - 1)/1*100 =25 which give 16 as a Answer .
If we consider C.P of 1 article is Rs.1 the S.P of X = 20. from this S.P of 1 articles will be 20/X.
So (20/X - 1)/1*100 =25 which give 16 as a Answer .
Prince said:
2 years ago
20 CP = x SP
CP/SP = x/20.
profit % =25 (given)
profit % = (SP-CP/CP) * 100 ---> FORMULA.
Putting the value in the formula.
(20 - x/ x) * 100 = 25.
Solve for x.
80 - 4x/x = 1,
80 = 5x,
x = 16 ans.
CP/SP = x/20.
profit % =25 (given)
profit % = (SP-CP/CP) * 100 ---> FORMULA.
Putting the value in the formula.
(20 - x/ x) * 100 = 25.
Solve for x.
80 - 4x/x = 1,
80 = 5x,
x = 16 ans.
(42)
Reepen dhital said:
1 decade ago
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20-x).
Then,
25% of x = 20-x.
25x/100 = 20-x.
25x = 2000-100x.
125x = 2000.
i.e x = 15.
S.P. of x articles = Rs. 20.
Profit = Rs. (20-x).
Then,
25% of x = 20-x.
25x/100 = 20-x.
25x = 2000-100x.
125x = 2000.
i.e x = 15.
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