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Profit & Loss

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:

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).  20 - x x 100 = 25 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