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Yak Sbi Clerk 2018 Coaching Twenty-Four Lx Minutes Menses Iii - Lucre Too Loss (Shortcuts & Work Tests)

Hello friends. Today nosotros shall acquire the shortcut techniques of Profit too Loss. Happy Reading :)

Profit & Loss Shortcuts

Formulas of Profit too Loss

1. Profit = Selling Price (S.P) - Cost Price (CP), when SP > CP

2. Loss = Cost Price (C.P) - Selling Price (S.P), when SP < CP

3. Profit % = (Profit / CP) x 100

4. Loss % = (Loss / CP) x 100

5. S.P = ((100 + Profit%)/100) x CP

6. S.P = ((100 - Loss%)/100) x CP

7. C.P = (100 / (100 + Profit%)) x SP

8. CP = (100 / (100 - Loss%)) x SP

9. If C.Ps of 2 articles are the same too later selling them net turn a profit % on 1 is same equally the loss % on the other, thence at that topographic point volition hold upwards no loss or no gain.

10. If SPs of 2 articles are the same too the net turn a profit % on 1 is same equally the loss % on the other, thence at that topographic point volition hold upwards a loss which is inwards % = (%x%) / 100

11. Two successive discounts of X% too Y% are equivalent to a unmarried discount % of (X+Y) - ((XxY)/100)

12. Marked Price x Product of the balances of the discounts = Selling cost to the seller or Cost cost to the buyer.


13. Discount = Rebate = Concession = Reduction = Off  [all are same]

14. Different names of marked cost : Label price, Labelled price, Printed price, Tag price, Announced price, Written price, Market price, List price, Original cost etc.

15. Profit % later giving X% discount on the cost which is Y% higher upwards the C.P = - X + Y + ((-X) (Y)) / 100

16. The % of the C.P at which the labelled cost hold upwards marked to acquire P% net turn a profit later giving d% discount = (100+P)/X1

Where X1 = residuum % of the discount => MP = ((100+P)/X1)% of CP

17. The % higher upwards which the CP hold upwards marked to acquire P%  net turn a profit later giving d% of discount = ((100+P)/X1) - 100

where X1 = residuum % of the discount 

18. If 1 sells the goods at cost price, but gives X grams instead of 1 KG, where X <1kg complete="" nbsp="">
the Gain % = ((1000- X)/X) x 100   (or)
 
Gain % = (M/C) x 100,


where M = Weight retained past times the Merchant too C  = Weight given to the Customer 

19. The cost per unit of measurement later the modify inwards the cost = (%/100) x (Amount/Change)

20. The cost per unit of measurement earlier the modify inwards the cost = ((%/100+or-%)) x (Amount /Change)


Profit & Loss : Examples too Practice Problems


Model 1 :

  1.  An article is bought for Rs. 600 too sold for Rs. 750. Find the gain % ?
    1. 20
    2. 25
    3. 27.5
    4. 30
    5. None of these 
Solution :

Cost Price (CP) = 600
Selling Price (SP) = 750

Gain % = (Gain/CP) x 100

=> (150/600) x 100 = 25%

Practice Problems on Model 1
  1. An article is bought for Rs. 16000 too sold for Rs. 1760. Find the gain %
    1. 20
    2. 15
    3. 10
    4. 12
    5. None of these 
  2. An article is bought for Rs. 2600 too sold for Rs. 3120. Find the gain %
    1. 20
    2. 25
    3. 15
    4. 10
    5. None of these 
  3. An article is bought for Rs. 18,600 too sold for Rs. 18,972. Find the gain %
    1. 1
    2. 1.5
    3. 2
    4. 3
    5. None of these 
Model 2 :
  1. An article is bought for Rs. 450 too sold for Rs. 400. What is the loss % ?
    1. 11 1/9
    2. 10
    3. 9 1/11
    4. 8
    5. None of these 
Solution :

CP = 450

SP = 400

Loss % = (Loss/CP) x 100 = (50/450) x 100 = 100/9 = xi 1/9

Practice Problems on Model 2
  1. An article is bought for Rs. 45000 too sold for Rs. 4250. What is the loss % ?
    1. 11 1/9
    2. 10
    3. 5 5/9
    4. 6
    5. None of these 
  2. An article is bought for Rs. 1760 too sold for Rs. 1650. What is the loss % ?
    1. 8 1/3
    2. 12
    3. 12 1/2
    4. 6 1/4
    5. None of these 
Model 3 :
  1. A human bought an article for Rs. 640 too sold at a net turn a profit of 15%. Find the selling cost ?
    1. Rs. 673
    2. Rs. 678
    3. Rs. 736
    4. Rs. 784
    5. None of these 
Solution :

Method 1 :

We all know, 10% of 640 is 64

So, 5% of 640 volition hold upwards 32

So 15% volition hold upwards 64+32 = 96

Selling cost = Original Price + 15% Price 

= 640 + 96  = 736

Method 2 :

15% = 15/100 = 3/20 Profit -> this agency if nosotros purchase for Rs. 20, nosotros sell it for iii rupees profit. 

So, (23/20) x CP = SP

(23/20) x 640 =  736

Practice Problems on Model 3
  1. A human bought an article for Rs. 640 too sold at a loss of 15%. Find the selling cost ?
    1. Rs. 454
    2. Rs. 545
    3. Rs. 554
    4. Rs. 544
    5. None of these 
  2. A human bought an article for Rs. 24680 too sold at a loss of 22.5%. Find the selling cost ?
    1. Rs. 5553
    2. Rs. 16780
    3. Rs. 19127
    4. Rs. 18227
    5. None of these 
Model 4 :
  1. A plot is bought for Rs. 28,00,000 too sold at a net turn a profit of xiv 2/7%. Find the selling cost inwards lakhs of Rs. 
    1. 30
    2. 31.5
    3. 32.25
    4. 36
    5. None of these 
Solution :

14 2/7% = 100 / (7x100) = 1/7%

Remember that (Total / Denominator) x CP = SP

=> 8/7 CP = SP

(8/7) x 28,00,000 = 32,00,000

Practice Problems on Model 4
  1. A plot is bought for Rs. 28,00,000 too sold at a net turn a profit of 10%. Find the selling cost inwards lakhs of Rs. 
    1. 29
    2. 30.4
    3. 31.2
    4. 30.8
    5. None of these 
  2. A plot is bought for Rs. 28,60,000 too sold at a net turn a profit of 19%. Find the selling cost inwards lakhs of Rs. 
    1. Rs. 5,43,400
    2. Rs. 34,03,400
    3. Rs. 32,25,560
    4. Rs. 36,20,800
    5. None of these 
  3. A plot is bought for Rs. 28,80,000 too sold at a loss of 8 1/3 %. Find the selling price. 
    1. Rs. 26,24,000
    2. Rs. 27,20,000
    3. Rs. 26,40,000
    4. Rs. 24,60,000
    5. None of these 
Model 5 :
  1. A human sold a box for Rs. 450 at a gain of 25%. Find the cost cost ?
    1. Rs. 400
    2. Rs. 425
    3. Rs. 350
    4. Rs. 360
    5. None of these 
Solution :

25% = 1/4 ain

=> 5/4 CP = SP = 450

CP = (4/5) x 450 = 360

Practice Problems on Model 5
  1. A human sold a box for Rs. 585 at a loss of 2.5%. Find the cost price. 
    1. Rs. 596
    2. Rs. 600
    3. Rs. 605
    4. Rs. 620
    5. None of these 
  2. A human sold a box for Rs. 960 at a gain of 20%. Find the cost price 
    1. Rs. 880
    2. Rs. 840
    3. Rs. 780
    4. Rs. 800
    5. None of these 
  3. A human sold a box for Rs. 1221 at gain of 11%. Find the cost cost ?
    1. Rs. 1000
    2. Rs. 1010
    3. Rs. 1100
    4. Rs. 1110
    5. None of these 
Model 6 :
  1. An article is sold for Rs. 375 at a loss of vi 1/4 %. Find the cost cost ?
    1. Rs. 400
    2. Rs. 380
    3. Rs. 381.25
    4. Rs. 360
    5. None of these 
Solution :

6 1/4% = 25/400 = 1/16 

=> 15/16 CP  [Note : for Loss nosotros should write deviation / denominator]

=> 15/16 CP = 375

=> CP = 400

Practice problems on Model 6 :
  1. An article is sold for Rs. 5250 at a loss of nine 1/11 %. Find the cost cost ?
    1. Rs. 5500
    2. Rs. 5575
    3. Rs. 5650
    4. Rs. 5785
    5. None of these 
  2. An article is sold for Rs. 1012 at a loss of four 1/6%. Find the cost price. 
    1. R.s 1056
    2. Rs. 1064
    3. Rs. 1100
    4. Rs. 1122
    5. None of these 
  3. An article is sold for Rs. 3225 at a gain of vii 1/2%. Find the cost cost ?
    1. Rs. 2800
    2. Rs. 2960
    3. Rs. 3000
    4. Rs. 3050
    5. None of these 
Model 7 :
  1. A bought a band too sold it to B at 10% net turn a profit too B sold it to C at a loss of 20%. If C paid Rs. 22,000, for how many Rs. did Influenza A virus subtype H5N1 purchase it ?
    1. Rs. 20,000
    2. Rs. 22,500
    3. Rs. 25,000
    4. Rs. 27,750
    5. None of these 
Solution :
Assume that the cost cost for Influenza A virus subtype H5N1 is a 
=> a x (110/100) x (80/100) = 22000
=> a. 22/25 = 22000
=> a = 25000
Practice Problems on Model 7 :
  1. A bought a band too sold it to B at 10% loss too B sold it to C at a loss of 10%. If C paid Rs. 29,160, for how many Rs. didi Influenza A virus subtype H5N1 purchase it ?
    1. Rs. 30,000
    2. Rs. 32,500
    3. Rs. 35,000
    4. Rs. 37,750
    5. None of these 
  2. A bought a band too sold it to B at 12% net turn a profit too B sold it to C at a loss of 2%. If C paid Rs. 21,952 for how many Rs. did Influenza A virus subtype H5N1 purchase it ?
    1. Rs. 20,000
    2. Rs. 20,500
    3. Rs. 21,000
    4. Rs. 19,600
    5. None of these 
  3. A bought a band too sold it to B at 10% net turn a profit too B sold it to C at a net turn a profit of 7%. If C paid Rs. 1,31,824, for how many Rs. did Influenza A virus subtype H5N1 purchase it ?
    1. Rs. 1,00,000
    2. Rs. 1,12,000
    3. Rs. 1,20,000
    4. Rs. 1,16,000
    5. None of these 
Model 8 :
  1. The cost cost of an object is numerically equal to its net turn a profit % too its selling cost is Rs. 56. What is its cost cost ?
    1. Rs. 20
    2. Rs. 36
    3. Rs. 40
    4. Rs. 50
    5. None of these 
Solution :
For these type of problems, you lot tin banking concern check straight from given reply options
Here, the cost cost is numerically equal to it's net turn a profit %, 
so assume the cost cost = Rs. x
So net turn a profit % = x%
=> ((100+x) / 100) x x = 56
Answer choice 1 : x = 20  => (120/100) x twenty non equals to 56

Answer choice 2 : x = 36 => (136/100) x 36 non equals to 56

Answer choice 3  : x = xl => (140/100) x xl = 56

So, Option iii is the right answer.
 
Practice Problems on Model 8 :

  1. The cost cost of an object is numerically equal to its net turn a profit % too its selling cost is Rs. 75. What is it's cost cost ?
    1. Rs. 20
    2. RS. 36
    3. Rs. 40
    4. Rs. 50
    5. None of these 
  2. The cost cost of an object is numerically equal to its net turn a profit % too its selling cost is Rs. 31.25. What is its cost cost ?
    1. Rs. 15
    2. Rs. 25
    3. Rs.28
    4. Rs. 30
    5. None of these 
  3. The cost cost of an object is numerically equal to its net turn a profit % too its selling cost is Rs. 77.36. What is cost cost ?
    1. Rs. 56
    2. Rs. 54
    3. Rs. 66
    4. Rs. 64
    5. None of these 
Model 9 :
  1. The net turn a profit obtained past times selling an article for Rs. 56 is same equally the loss obtained past times selling it for Rs. 42. What is its CP ?
    1. Rs. 49
    2. Rs. 50
    3. Rs. 48
    4. RS. 46
    5. None of these 
Solution :

Find the average 

=> (56 + 42) / 2 = 98 / 2 = 49
Practice Problems on Model 9 :
  1. The net turn a profit obtained past times selling an article for Rs. 38 is same equally the loss obtained past times selling it for Rs. 22. What is its CP ?
    1. Rs. 30
    2. Rs. 32
    3. RS. 25
    4. Rs. 28
    5. None of these 
  2. The net turn a profit obtained past times selling an article for Rs. 256 is same equally the loss obtained past times selling it for Rs. 142. What is CP ?
    1. Rs. 149
    2. Rs. 199
    3. Rs. 201
    4. Rs. 211
    5. None of these
  3. The net turn a profit obtained past times selling an article for Rs. 54 is same equally the loss obtained past times selling it for Rs. 40. What is the CP ?
    1. Rs. 49
    2. Rs. 50
    3. Rs. 48
    4. Rs. 46
    5. None of these
Model 10 :
  1. The net turn a profit obtained past times selling an article for Rs. 48 is twice the loss obtained past times selling it for Rs. 30. What is its CP ?
    1. Rs. 42
    2. Rs. 40
    3. Rs. 38
    4. Rs. 36
    5. None of these 
Solution :
CP = 30+Loss = 48-Profit 
=> Loss + Profit = 48-30 = 18
 => L + 2L = 18  => L = 6

CP = 30+6 = 36

Practice Problems on Model 10 :
  1. The net turn a profit obtained past times selling an article for Rs. 46 is thrice the loss obtained past times selling it for Rs. 30. What is its CP ?
    1. Rs. 42
    2. Rs. 40
    3. Rs. 38
    4. Rs. 36
    5. None of these 
  2. The net turn a profit obtained past times selling an article for Rs. 48 is one-half of the loss obtained past times selling it for Rs. 30. What is its CP ?
    1. Rs. 42
    2. Rs. 40
    3. Rs. 38
    4. Rs. 36
    5. None of these 
  3. The net turn a profit obtained past times selling an article for Rs. 48 is 1/5th of the loss obtained past times selling it for Rs. 30. What is it's CP ?
    1. Rs. 42
    2. Rs. 40
    3. Rs. 38
    4. Rs. 36
    5. None of these 
Model 11 :
  1. A human sold 2 articles for Rs. 495 each. On 1 he gains 10% too on the other he losses 10%. Find the full loss ?
    1. Rs. 4.95
    2. Rs. 5
    3. Rs. 9.90
    4. Rs. 10
    5. None of these
Solution :
2 articles selling prices same, thence Loss % = (% x %) / 100

=> (10 x 10) / 100 = 1% loss

Cost Price - Loss = Selling Price

That means, if he buys the items for Rs. 100
Then, the Selling Price volition hold upwards 100 - 1 = 99
But hither the selling cost = 2 * 495 = 990 

So the full loss volition hold upwards Rs. 10

Practice Problems on Model 11 :
  1. A human sold 2 articles for Rs. 240 each. On 1 he gains 20% too on the other he losses 20%. Find the full loss ?
    1. Rs. 9.60
    2. Rs. 20
    3. Rs. 19.20
    4. Rs. 10
    5. None of these 
  2. A human sold 2 articles for Rs. 495 each. On 1 he gains 10% too on the other he losses 10%. Find the amount of their cost prices ?
    1. Rs. 500
    2. Rs. 990
    3. Rs. 1000
    4. Rs. 960
    5. None of these 
  3. A human sold 2 articles for Rs. 1920 each. On 1 he gains 20% too on the other he losses 20%. Find the amount of their cost prices ?
    1. Rs. 4000
    2. Rs. 2000
    3. Rs. 3600
    4. Rs. 1800
    5. None of these
Model 12 :
  1. The cost cost of iii articles is same equally the selling cost of 2 articles. What is the loss or gain % ?
    1. 50% loss
    2. 50% gain
    3. 25% loss
    4. 25% gain
    5. None of these 
Solution :

Let the Cost Price per article hold upwards Rs. x
 
too Selling Price per article b Rs. y 
CP of iii articles = SP of 2 articles 

=> 3x = 2y
 
=> x : y = 2 : 3
=> x = 2K & y = iii K  [where K is to a greater extent than or less constant number]

Profit = SP - CP

= 3K - 2K = K

Profit % = (Profit / CP) x 100 = (K/2K) x 100 = 50%

Practice Problems on Model 12 :
  1. The cost cost of 2 articles is same equally the selling cost of iii articles. What is the loss or gain % ?
    1. 50% loss
    2. 33 1/3% gain'
    3. 25% loss
    4. 33 1/3% loss
    5. None of these 
  2. The cost cost of thirteen articles is same equally the selling cost of 12 articles. What is the loss or gain % ?
    1. 8 1/3 % gain
    2. 12 2/3 % gain
    3. 8 1/3% loss
    4. 12 2/3 % loss
    5. None of these
  3. The cost cost of a dozen articles is same equally the selling cost of a score articles. What is the loss or gain % ?
    1. 50% loss
    2. 50% gain
    3. 40% loss
    4. 40% gain
    5. None of these 
[Note : Dozen - 12, Score = 20]

Work amongst these models too solve the given work problems. Meanwhile I volition post service to a greater extent than methods amongst shortcuts. After completing these problems simply REFRESH this page to acquire to a greater extent than methods. All the Best :)
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