1.  Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Answer: Option B
Explanation:
Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.)  (C.P.) = Rs.(5800  5500) = Rs. 300.
Gain % =   300  x 100  %  = 5  5  % 
5500  11 
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:
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).
2000  100x = 25x
125x = 2000
x = 16.
3.  If selling price is doubled, the profit triples. Find the profit percent.
Explanation:
Let C.P. be Rs. x and S.P. be Rs. y.
Then, 3(y  x) = (2y  x) y = 2x.
Profit = Rs. (y  x) = Rs. (2x  x) = Rs. x.
Profit % =   x  x 100  % = 100% 
x 
4.  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 selling price is the profit? 
Explanation:
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420  125) = Rs. 295.
Required percentage =   295  x 100  %  =  1475  % = 70% (approximately). 
420  21 
5.  A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Explanation:
C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 120% of Re. 1 = Rs.  6 
5 
For Rs.  6  , toffees sold = 6. 
5 
For Re. 1, toffees sold =   6 x  5   = 5. 
6 




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