(Q) A dealer sells goods at 6% loss but uses 14g instead of 16g. What is his percentage profit or loss?

Solution:

Let C.P of shopkeeper for 1g=Rs 1

C.P of shopkeeper for 16g=Rs 16

False C.P of shopkeeper for 14g=Rs 14

% Profit=(1.04×100)/14

=7.42% Ans.

(Q) A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights. His total gain is.

Solution:

=(12100-10000)/100

=21% Ans.

Other Methods:

=21% Ans.

(Q)A shopkeeper cheats to the extent of 15% while buying and 20%while selling, by using false weights. His total gain is.

Solution:

=38% Ans.

Other methods:

=38% Ans.

(Q)A person sells an article at a profit of 10%. If he had bought it at 10% less and sell it for Rs 3 more he would have gained 25%.(1) Find the cost price (2) Find S.P

Now,

90x×(100+25)/100=110x+3

90x×(125)/100=110x+3

x=6/5

∴ C.P=100x=100×(6/5)

=Rs 120 Ans.

(2)S.P=110x=110×(6/5)

=Rs 132 Ans.

(Q)A person sold a T.V at a gain of 15 %. Had he bought it for 25% less and sold it for Rs 600 less, he would have made a profit of 32%. The cost price of the T.V was.

Solution:

Now,

75x×(100+32)/100=115x-600

75x×(132/100)=115x-600

99x=115x-600

x=600/16

C.P=100x=100×(600/16)

=Rs 3750 Ans.

(Q)A shopkeeper sold a watch at a loss of 20%. But if he could sell it at Rs 200 more, he could earn a profit of 5%. The cost price of the watch is.

Solution:

Now,

1oox×(100+5)/100=80x+200

105x=80x+200

x=8

∴ C.P of watch=100x=100×8

=Rs 800 Ans

The common and frequently asked of Profit and Loss questions with solution and Shortcut Tricks for Bank PO, SSC CGL, SSC CHSL, Railway Exam Type-6.1.

If a trader professes(Profess-दावा करना) to sell his goods at cost price, but uses false weights, then

For Example:

(Q) A shopkeeper sells goods at the cost price but uses 900gms instead of 1 Kg. Find his overall profit or loss percentage.

Solution: BY TRICK:

Error= True Weight – False Weight

= 1000g – 900g=100g

% Profit= (100g × 100)/900g

=11 ¹/9% Ans.

BY CONCEPT:

Let C.P of shopkeeper for 1g=Rs 1

C.P of shopkeeper for 1kg ie 1000g=Rs 1000

False C.P of shopkeeper for 900g=Rs 900

[Note: 1,2 and 3 are Steps]

% Profit=(100×100)/900

=11 ¹/9% Ans.

Concept:[दुकानदार ने आप से कहा कि जिस रेट पर मैंने समान(Goods) खरीदा है उसी रेट पर में आप को समान(Goods) दे रहा हूँ| Means दुकानदार ने यहाँ Rs 1000 में समान खरीदा है और आपको भी Rs 1000 में दे रहा है| लेकिन दुकानदार 1 kg समान(Goods) के बदले सिर्फ आपको 900g समान(Goods)दे रहा है| यहाँ समझने वाली बात यह है कि दुकानदार आपसे 1000g(1Kg) का पैसा लिया that means आप ने दुकानदार को Rs 1000 दिया (So S.P of Shopkeeper=Rs 1000) लेकिन उसने सिर्फ आपको 900g समान(Goods) दिया means दुकानदार ने आपको सिर्फ Rs 900 का समान दिया So, C.P of Shopkeeper=Rs 900. ∴ profit=(S.P-C.P)=Rs(1000-900)=Rs 100]

(Q)A shopkeeper sells his goods at 20% profit and uses 900gms instead of 1 Kg. Find his overall profit or loss percentage.

Solution:

Let C.P of shopkeeper for 1g=Rs 1

C.P of shopkeeper for 1kg ie 1000g=Rs 1000

False C.P of shopkeeper for 900g=Rs 900

% Profit=(300×100)/900

=33 ¹/3% Ans.

Rough:

C.P=Rs 1000 and Profit=20%

S.P=1000×(100+20)/100

=Rs 1200

(Q) A shopkeeper marks his good at 20% above the cost price and also allows a discount of 20% but uses 800gms instead of 1Kg. Find overall profit or loss percentage.

Solution:

Let C.P of shopkeeper for 1g=Rs 1

C.P of shopkeeper for 1kg ie 1000g=Rs 1000

False C.P of shopkeeper for 800g=Rs 800

% Profit=(160×100)/800

=20% Ans.

Rough:

1000×120/100

=Rs 1200

1200×80/100

=Rs 960

Note: Discount always marked price पर calculate किया जाता है or discount के बाद जो price आता है वह selling price होता है|