Profit And Loss - II

1. Dinesh Purchased some lemons. He purchased 3 lemons for Rs.2. He sold all the lemons and earned 25% profit. At what rate did he sell all the lemons?

(a) 4 for Rs.3

(b) 5 for Rs.4

(c) 6 for Rs.5

(d) 7 for Rs.8

(e) None of these

2. A tradesman defrauds to the extent of 10% in buying goods and also defrauds to the extent of 10% in selling. His gain percent is

(a) 21%
(b) 19%
(c) 20%
(d) 22(1/4)%
(e) None of these

3. Richa marks her goods 30% above the cost price but allows 30% discount for cash payment. If she sells the article for Rs. 2730, find her cost price.
(a) Rs. 3500
(b) Rs. 2800
(c) Rs. 2950
(d) Rs. 3000
(e) None of these

4. A reduction of 10% in the price of salt enables a person to buy 2 kg more for Rs.180. Find the reduced and the original price per kgof salt respectively.
(a) Rs 10, Rs 9
(b) Rs 9, Rs 10
(c) Rs 18, Rs 20
(d) Rs 20, Rs 18
(e) Rs 18, Rs 16.2

5. Sunil calculates his profit percentage on the selling price whereas Sujeet calculates his profit on the cost price. They find that the difference of their profits is Rs. 900. If the selling price of both of them are the same, and Sunil gets 50% profit and Sujeet gets 40% profit, then find their selling price.

(a) Rs 4200
(b) Rs 4500
(c) Rs 4000
(d) Rs 4800
(e) None of these

6. A person sells his table at a profit of 25% and the chair at a loss of 20%, but on the whole transaction he gains Rs.18. on the other hand if he sells the table at a loss of 20% and the chair at a gain of 25%, then he neither gains nor loses. Find the cost price of the table and the chair.
(a) 200,160
(b) 160,200
(c) 250,180
(d) 210,170
(e) None of these

7. A person sold his watch for Rs 24. If the percentage of his loss was equal to the cost price, then the watch would have cost him
(a) Rs. 40
(b) Rs. 60
(c) Rs. 50
(d) Rs. 80
(e) None of these

8. Two shopkeepers sells some article for Rs. 4000 each. A shopkeeper Calculates his profit percent on his CP and another calculates his profit percent wrongly on SP. What is the difference in their actual profit if both claims to have a profit of 20%?

(a) Rs.135.00/-

(b) Rs.200.00/-

(c)  Rs.233.33/-

(d) Rs.133.33/-

(e) Cannot be Determined

Answers :)

1. (c) 6 for Rs 5 

CP= 3 lemons for Rs. 2 

SP = 3 lemons for Rs. 2.5
SP will be in the multiple of 3 for Rs 2.5
hence, from options 6 for Rs 5 :)

2. (a) 21%

100----110------121
Profit 21%
In simple terms, 100 main 110 ka samaan kharidta hai
and yahi 110 ka Saman fir 121 mai bech deta hai 
So, In total he gains 21%.

3. (d) Rs. 3000

Let CP be 100----> MP= 130--->with discount of 30%----SP=91

Now, SP= 91 ------->CP = 100
SP= 2730---------> CP= 100x2730/91 = 3000

4. (b) Rs9, Rs 10

10%=2

100%=20

180/20=9(reduced price)

180/18=10(original price)

5. (a) Rs 4200

6. (a) Rs 200, Rs 160

7. (e) None of these
SP=24
Let CP be X
Loss% = X
(X-24)*100/X = X
X^2 - 100X +2400= 0
X= 60 or 40
Hence, None of these

8. (d) Rs. 133.33
In first Case,
SP=4000
Profit= 20%ofCP
SP=120%of CP
CP= 4000x100/120 = Rs.3333.33/-
Profit= Rs.666.66
In Second Case,
SP=4000 
Profit= 20% of SP
Profit= 800
So, The difference in profit = Rs133.33