Profit and Loss

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Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.


16. A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 6. For a kg, he uses a weight of:

A. 953 gms

B. 940 gms

C. 960 gms

D. 947 gms


Answer

                  Ans: Option B

       Explanation:

       No explanation 


17. Rahim buys mangoes at the rate of 3 kg for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, he must sell.

A. 26 kg

B. 34 kg

C. 32 kg

D. 56 kg


Answer

                  Ans: Option B

       Explanation:

       Rate of buying = 7; Rate of selling = 10.

       To gain Rs.3, he must buy 1 kg

       For 102 profit he must buy = (102/3) = 34 


18. A shopkeeper mixes two varieties of tea, one costing Rs. 35 per kg and another at Rs. 45 per kg in the ratio 3:2 If he sells the mixed variety at Rs. 41.60 per kg, his gain or loss per cent is:

A. 6% gain

B. 6% loss

C. 4% gain

D. 4% loss


Answer

                  Ans: Option A

       Explanation:

       No explanation 


19. By selling 36 oranges, a vendor loses the selling price of 4 oranges. His loss per cent is:

A. 12

B. 11

C. 10%

D. None of these


Answer

                  Ans: Option C

       Explanation:

       No explanation 


20. A man bought a TV for Rs.20000 and paid Rs.1000 for its transport. At what price should he sell it to gain 12%?

A. Rs.22400

B. Rs.25200

C. Rs.23520

D. Rs.24000


Answer

                  Ans: Option B

       Explanation:

       Total CP = Original CP + Transport charges = Rs.21000

       Gain = 12% SP = 21000*112/100 = Rs.23520 


21. 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


Answer

                  Ans: Option A

       Explanation:

       Let C.P. be Rs.x.

       Then, [(1920 – x)/x] * 100 =[(x – 1280)/x]  * 100

       or, 1920 – x = x – 1280

       or, 2x = 3200

       So, x = 1600

       Required S.P. = 125% of Rs. 1600

                              =( Rs.125/100)x 1600 = Rs.2000. 


22. A shopkeeper sells his goods at the cost price but uses a false weight of 950 gm. Find his gain %.

A. 5%

B. 5(5/19)%

C. 4(5/19)%

D. 5(10/19)%


Answer

                  Ans: Option B

       Explanation:

       Let the cost of 1 kg of goods be Rs.100.

       The cost of 950g is Rs. 95.

       He sells Rs.95 worth goods for Rs.100.

       Gain = Rs.5 C.P = Rs.95

       Gain % = (5/95) * 100 = 5(5/19)%. 


23. A shopkeeper sells 1 kg of apples for Rs. 160 at a loss of 20%. At what price should he sell a kg of apples to gain 20%?

A. Rs.200

B. Rs.220

C. Rs.240            

D. Rs.250


Answer

                  Ans: Option C

       Explanation:

       Let the cost price be Rs.(160+x)

       Loss = Rs.x

       Loss% = (x/(160+x))*100 = 20%

       x = Rs.40

       C.P=Rs.200

       Gain% = (Gain/C.P) * 100 = 20%

       Gain = Rs.40

       S.P=Gain + C.P=Rs.240 


24. The SP of 4 articles equals the CP of 6 articles. Find the gain%.

A. 40%

B. 50%

C. 25%

D. 20%


Answer

                  Ans: Option B

       Explanation:

       Let the CP of an article be Rs.x.

       4*SP=6x SP

       = 6x/4 = 3x/2

      Gain = (3x/2)-x = x/2

      Gain % = (x/2)/x *100 = 50% 


25. Gopal purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 100 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?

A. Rs 12

B. Rs 13

C. Rs 12.50

D. Rs 13.50


Answer

                  Ans: Option D

       Explanation:

       Cost Price of 65 kg rice = Rs. (35 x 9.50 + 30 x 10.50)

                                             = 647.50

       Sell Price of 65 kg rice = 135 % of 647.50

                                            = Rs (135/100) x 647.50

       Sell Price per kg = (135/100) x 647.50 x (1/65)

                                  = 13.44

                                  = Rs. 13.50 (Approx) 


26. Three-fourths of a consignment was sold at a profit of 10% and the rest at a loss of 12%. The overall profit was 4,500$. Find the value of the consignment.

A. $ 1,50,000 

B. $ 2,00,000 

C. $ 1,000,000

D. $ 1,00,000 


Answer

                  Ans: Option D

       Explanation:

       Let the value of the consignment be x.

       $ [(10/100)*(3/4)x]- [(12/100)*(1/4)x]=4500 0.075x-0.03x=4500 0.045x=4500 x=100,000$ 


 27. A shopkeeper sells two phones each for Rs.6000, one at a gain of 50% and the other at a loss of 25%. Find his overall gain or loss %.   

A. 25% gain

B. 10% gain

C. 10% loss

D. No gain, No loss


Answer

                  Ans: Option D

       Explanation:

       C.P of the first phone = 6000/1.5 = Rs.4000

       C.P of the second phone = 6000/0.75 = Rs.8000

       Total cost = Rs.12000 = Total S.P i.e. neither gain nor loss. 


 

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