# Profit and Loss

1. A man purchase is a bike for rs.75400 and spends rs. 2600 for his its maintenance. After some days he sells the bike at rs. 89700. What is his profit percentage ?
10%
18%
11%
15%
8%
Option D
CP of bike = 75400
maintenance cost = 2600
total cost price of Bike = 75400 + 2600 = 78000
profit = 89700 – 78000 = 11700
profit percentage = 11700/78000 * 100 = 15%

2. Ayush made a loss of 10% on selling a cycle. If he would have made a profit of 40%. In what price he would sell so that he can get 22% profit ?
1520
1840
2480
1830
2240
Option D
Let CP of cycle = 100x
loss = 10%
SP of cycle = 100x * 90/100 = 90x
If he sold 750 more, he would have 40% profit
SP = 100x * 140/100 = 140x
90x + 750 = 140x
50x = 750
x = 15
CP = 100x = 1500
SP = 1500 * 122/100 = 1830

3. Marked price of an article is 45% above its cost price and by giving 20% discount on marked price he earned rs.128 as profit. What is profit percent incurred when he sells same article rs.72 more than its selling price.
22%
28%
34%
25%
12%
Option D
Let CP of article = 100x
MP of article = 100x * 145/100 = 145x
SP of article = 145x * 4/5 = 116x
profit = rs.128
116 x – 100x = 16x
16x = 128
x = 8
CP = 800
SP = 928
When he sells rs.72 more than its SP,
SP = 928 + 72 = 1000
Profit % = 1000 – 800/800 * 100 = 25%

4. Rohit purchased a mobile rs.4500 and sold it at 20% loss to Reema. Which amount he got from Reema, he purchased a TV and sold it at a profit of 25%. How much amount of overall profit or loss made by him in whole transactions ?
180
470
200
350
No profit no loss
Option E
CP of mobile = 4500
he sold at 20% loss,
SP of mobile = 4500 * 4/5 = 3600
CP of TV = 3600
he sold at 25% profit,
SP = 3600 * 5/4 = 4500
there is no profit no loss

5. A shopkeeper marked up the price of an article 60% above the cost price. If he gives a successive discount of 15% and 10% on marked price, so that selling price of the article is rs.24480. Find the cost price.
2200
2000
1240
1350
1430
Option B
Let CP of article = 100x
MP of article = 160x
SP of article = 160x * 85/100 * 90/100 = 122.4x
122.4x = 2448
x = 2448/122.4 = 20
CP = 100x = 2000

6. A man buys 40 mangoes at rs. 5 each and 60 oranges at rs.4 each. 10% of the mangoes and oranges are rotted. The man sells the remaining mangoes at rs. 7 each and oranges at rs 3 each. Find the overall gain or loss percentage ?
8% profit
10% loss
22% loss
65/11% loss
14%
Option D
Total CP of 40 mangoes = 40 * 5 = 200
Total CP of 60 mangoes = 60 * 4 = 240
10% of mangoes and oranges are rotted
remaining mangoes = 40 * 90/100 = 36
and oranges = 60 * 90/100 = 54
total SP of oranges = 54 * 3 = 162
total SP = 252 + 162 = 414
loss % = 440 – 414 /440 * 100 = 65/11%

7. A shopkeeper sold a product at 20% discount and profit earned on that product is 16.67%. If the marked price of that product is rs.875, then what is the cost price of that product ?
820
340
680
600
485
Option D
MP of the product = 875
SP of product = 875 * 4/5 = 700
profit = 16.67% = 1/6
let CP = 6x
profit = x
SP = 7x
7x = 700
x = 100
CP = 6x = 600

8. A dishonest shopkeeper sold rice at cost price. The 1kg weight of rice that he uses actually weight of 780 gm. How much percentage profit does he earned on the sale of 1kg price ?
200/6%
120/7%
18%
1100/39%
204/5%
Option D
Actual weight = 1kg
false weight = 780 gm
profit = 100 – 780 = 220
profit % = 220/780 * 100 = 1100/39%

9. Sekhar sells two products A and B have equal cost price. Product A is sold at 30% profit and product b is sold at an amount of 15% less than the selling price of product A. If the total profit is rs.162, then what is cost price of B ?
480
400
525
340
260
Option B
Let CP of the product A = x
SP of product A = x * 130/100 = 13x/10
SP of product B = 13x /10 * 17/20 = 221x/200
profit of product A = 13x/10 – x = 3x /10
profit of product B = 221x/200 = 21x/200
3x/10 + 21x/200 = 162
60x + 21x / 200 = 162
x = 400

10. An article is sold at a profit of 15%. If it had been sold at a profit of 22%, it would have fetched rs. 340 more. What is the cost price of article ?
2500
3240
1450
2000
4420
Option D
Let CP of the article = 100x
SP of the article = 100x * 115/100
when it sold at 22% profit
SP = 100 * 122/100 = 122x
122x – 115x = 7x
7x = 340
x = 20
CP of the product = 100x = 100 * 20 = 2000

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