# Profit and Loss (2)

1. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
1. Rs. 1090
2. Rs. 1160
3. Rs. 1190
4. Rs. 1202

Explanation :-

SP=(100-15)% of 1400
SP=(85/100)*1400
SP=Rs.1190

2. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
1. 3.5
2. 4.5
3. 5.6
4. 6.5

Explanation :-

CP of One toy=375/12=31.25
Sp of One toy=33
Profit %age=((33-31.25)/31.25)*100
=>(1.75/31.25)/100
=>(28/5)%
Profit %age=5.6%

3. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
1. 30%
2. 100/3%
3. 35%
4. 44%

Explanation :-

CP of 6 Articles=5, so that   CP of 1Article=5/6
SP of 5 Articles=6, so that   SP of 1 Article=6/5
Profit= (6/5)-(5/6)=11/30
Profit %age= ((11/30)/(5/6))* 100
Profit%age=44%

4. 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?
1. Rs. 18.20
2. Rs. 70
3. Rs. 72
4. Rs. 88.25

Explanation :-
CP=(100/122.5)*392
=>(1000/1225)*392
=>320
Profit= (392-320)= Rs. 72

5. 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:
1. 15
2. 16
3. 18
4. 25

Explanation :-

Let the cost price 1 article = Re 1
Cost price of x articles = x
S.P of x articles = 20
Profit= 20 -x
Profit %age=25%
Therefore
25=((20-x)/x)*100
25x=2000-100x
x=16