# profit and loss

6.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A.     Rs. 2000    B.     Rs. 2200
C.     Rs. 2400    D.     Data inadequate

Explanation:

Let C.P. be Rs. x.

Then,     1920 – x     x 100 =     x – 1280     x 100
x     x

1920 – x = x – 1280

2x = 3200

x = 1600

Required S.P. = 125% of Rs. 1600 = Rs.         125     x 1600         = Rs 2000.
100

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?
A.     Rs. 18.20    B.     Rs. 70
C.     Rs. 72    D.     Rs. 88.25

Explanation:

C.P. = Rs.         100     x 392         = Rs.         1000     x 392         = Rs. 320
122.5     1225

Profit = Rs. (392 – 320) = Rs. 72.

8.

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
A.     Rs. 1090    B.     Rs. 1160
C.     Rs. 1190    D.     Rs. 1202

Explanation:

S.P. = 85% of Rs. 1400 = Rs.         85     x 1400         = Rs. 1190
100

9.

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?
A.     3.5    B.     4.5
C.     5.6    D.     6.5

Explanation:

Cost Price of 1 toy = Rs.         375         = Rs. 31.25
12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 – 31.25) = Rs. 1.75

Profit % =         1.75     x 100     %     =     28     % = 5.6%
31.25     5

10.

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
A.     30%    B.
33     1     %
3
C.     35%    D.     44%

Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.         5     x 30         = Rs. 25.
6

S.P. of 30 articles = Rs.         6     x 30         = Rs. 36.
5

Gain % =         11     x 100     % = 44%.
25