## Profit and Loss

#### Profit and Loss

1. By selling a wrist watch of Rs.405 the shopkeeper incurs a loss of 10%. What is the gain or loss percentage if he sells the same watch at Rs. 465?
1. profit of 10%
2. less of 6 %
3. profit of 3.33 %
4. no profit no loss

1. CP = 405 / 0.9 = 450
New SP = Rs. 465

##### Correct Option: C

CP = 405 / 0.9 = 450
New SP = Rs. 465
Profit (%) = [465-450 / 450] X 100 = 3.33%

1. A dealer buys a washing machine. listed at Rs. 10000 and gets 10% and 20% successive discounts. He spends 10% of his CP on transport.At what price (in rupees) should he sell the washing machine to earn a profit of 10% ?
1. 8722
2. 7892
3. 8712
4. 8840

1. Selling price = 10000 - 10% - 20% + 10% + 10%

##### Correct Option: C

Price after 10% discount = 10000 - 10 % of 10000 = 10000 - 0.1 x 10000 = 9000
Price after another 20% discount = 9000 - 20 % of 9000 = 7200
Price after 10% of transportation charges = 7200 + 7200 x 0.1 = 7920
Price after 10% of profit = 7920 + 7920 x 0.1 = 8712
∴ Selling price = 8712

1. A person loses Rs. 20 by selling some bananas at the rate of Rs. 3 per banana and gains Rs.30, if he sells them at Rs. 3.25 per banana. The number of bananas sold by him ?
1. 100
2. 200
3. 120
4. 2400

1. Rs. 0.25 is the difference on 1 banana

##### Correct Option: B

Go through options. Consider option (b)
200 x 3.25 - 200 x 3 = Rs. 50 = ( 30+20 )
Hence option, (b) is correct

Alternatively: Rs. 0.25 is the difference on 1 banana
Rs. 1 is the difference on 1/0.25 = 4 bananas
Rs. 50 is the difference on 4 x 50 = 200 bananas

1. A fruit seller declares that he sells fruits at the cost price However, He use a weight of 450 g instead of 500 g. His percentage profit is
1. 10 %
2. 11 1/9 %
3. 12 %
4. 12 2/9 %

1. Profit (%) = goods lefts / goods sold X 100

##### Correct Option: B

Profit (%) = goods lefts / goods sold X 100 = ( 50 / 450 ) X 100 = 111/9 %

Alternatively : Suppose CP of 1g is Rs.1 then he sells goods worth Rs.450 only and charges Rs.500. So the profit is Rs.50 over the sale price of Rs. 450.

1. Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :
1. 15000
2. 20000
3. 10000
4. 12000

1. Total profit = 15000 x ( 2 / 3 ) x 5 %
Total loss = 15000 x ( 1 / 3 ) x 2 %

##### Correct Option: A

The best way is to go through option. Consider option (a)
Total profit = 15000 x ( 2 / 3 ) x 5 %
= 15000 x ( 2 / 3 ) x ( 5 / 100) = 500

Total loss = 15000 x ( 1 / 3 ) x 2 %
= 5000 x ( 1 / 3 ) x ( 2 / 100) = 100

Net gain = ( 500 - 100 ) = Rs. 400
Hence: option (a) is correct.

Alternatively : [( 1.05 X 2x/3 + 0.98 x/3) - x] = 400
∴ x=15000