Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 7)
7.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Answer: Option
Explanation:
| C.P. = Rs. |  |
100 | x 392 |  |
= Rs. | |
1000 | x 392 | |
= Rs. 320 |
| 122.5 | 1225 |
Profit = Rs. (392 - 320) = Rs. 72.
Video Explanation: https://youtu.be/a36nJFgh5yk
Discussion:
100 comments Page 4 of 10.
Bhawna Jain said:
1 decade ago
Let Cp=x
Profit= 22.5%
= 225x/100
SP = CP + Profit
392 = x + 225x/100
392 = .225x
x = 320 ( CP)
Profit = SP-CP
= 392-320
= Rs.72/-( Answer)
Profit= 22.5%
= 225x/100
SP = CP + Profit
392 = x + 225x/100
392 = .225x
x = 320 ( CP)
Profit = SP-CP
= 392-320
= Rs.72/-( Answer)
Sruthi said:
6 months ago
Given sp= 392 and profit % = 22.5.
Let cp = 100%.
Then 122.5% = 392 (sp = cp + profit),
Then 22.5%=? Let it be x (Asked),
=> x = (392 * 22.5)/122.5.
=> x = 72.
Let cp = 100%.
Then 122.5% = 392 (sp = cp + profit),
Then 22.5%=? Let it be x (Asked),
=> x = (392 * 22.5)/122.5.
=> x = 72.
(4)
DINESH said:
1 decade ago
Given S.P = 392, expect profit = 22.5%
Let us take C.P = 100.
C.P = (C.P/S.P)*S.P.
S.P = 122.5(EXPECTS).
C.P = (100/122.5)*392(real).
C.P = 320.
P = 392-320 = 72.
Let us take C.P = 100.
C.P = (C.P/S.P)*S.P.
S.P = 122.5(EXPECTS).
C.P = (100/122.5)*392(real).
C.P = 320.
P = 392-320 = 72.
Raju said:
1 decade ago
Simple one.
22.5% = 9/40 which means there is a profit of 9 over 40.
So Cp = 40.
Sp = 49.
P = 9.
But in question Sp = 392 i.e. 8 times of 49.
So P = 9x8 = 72.
22.5% = 9/40 which means there is a profit of 9 over 40.
So Cp = 40.
Sp = 49.
P = 9.
But in question Sp = 392 i.e. 8 times of 49.
So P = 9x8 = 72.
Siva said:
1 decade ago
cp=?,sp=392,profit=22.5%
cp=(100/(100+profit%)*sp)
=100/(100+22.5)*392
=100/122.5*392
=1000/1225*392
cp=320
if profit=sp-cp
=392-320
profit=72
cp=(100/(100+profit%)*sp)
=100/(100+22.5)*392
=100/122.5*392
=1000/1225*392
cp=320
if profit=sp-cp
=392-320
profit=72
Ashutosh Sharma said:
5 years ago
Gain =22.5% on C.P.
S.P=392 Rs.
Let C.P be Rs x.
Gain%= ((S.P-C.P)/C.P)*100.
((392-x)/x )*100 = 22.5.
x=320 rs.
Profit= S.P - C.P = 392-320 = 72 Rs Ans.
S.P=392 Rs.
Let C.P be Rs x.
Gain%= ((S.P-C.P)/C.P)*100.
((392-x)/x )*100 = 22.5.
x=320 rs.
Profit= S.P - C.P = 392-320 = 72 Rs Ans.
Mrityunjay Kumar said:
3 months ago
As we know,
profit% = s.p - c.p/c.p * 100,
22.5 = 392 - x/x * 100,
122.5x = 39200.
x = 320.
Then,
profit = s.p - c.p.
profit = 392 - 320,
profit = 72.
profit% = s.p - c.p/c.p * 100,
22.5 = 392 - x/x * 100,
122.5x = 39200.
x = 320.
Then,
profit = s.p - c.p.
profit = 392 - 320,
profit = 72.
(5)
Ravichand said:
2 decades ago
@anshuma
CP = (100/(100+ Gain%))*SP is a formula.
Check once all formulas regarding profit&loss. So by substitution we can get answer easily.
CP = (100/(100+ Gain%))*SP is a formula.
Check once all formulas regarding profit&loss. So by substitution we can get answer easily.
Rajadurai.eee said:
1 decade ago
Normally take 100%. if 22.5% increase means 122.5%.
122.5% =392.
So 1% =392/122.5=3.2.
So 100% =100*3.2 =320.
Profit =392-320.
Answer: 72.
122.5% =392.
So 1% =392/122.5=3.2.
So 100% =100*3.2 =320.
Profit =392-320.
Answer: 72.
Max said:
4 years ago
100/(100+22.5) * 392,
= 100/122.5 * 392,
= 1000/1225 * 392,
= 320.
The formula says;
100/100+gain% * s.p.
Then how 1000/1225? Please explain.
= 100/122.5 * 392,
= 1000/1225 * 392,
= 320.
The formula says;
100/100+gain% * s.p.
Then how 1000/1225? Please explain.
(5)
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