Profit and Loss- Aptitude Questions and Answers - in Hindi

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By selling 8 bananas, a fruit seller gains an amount equal to the selling price of 1 banana. Calculate his gain percent.?


एक फल विक्रेता 8 केले बेचकर एक केले का विक्रय मूल्य लाभ में प्राप्त करता है। उसके लाभ प्रतिशत की गणना किजिए?

A)
15.28~ %

B)
14.28~ %

C)
16.28~ %

D)
17.28~ %


Correct Answer :

14.28~ %


Explanation :

Profit = SP - CP
Profit% = (Profit* 100)/CP

Let SP of 1 banana is x.
Then , SP of 8 bananas = 8x.
Gain=selling price of 1 banana= 1x.
CP = SP-gain=7x

Therefore %Gain = (1x*100)/7x
profit%= 14.28~%.

By selling 27 meter cloth, a person earns selling price of 9 meter cloth as profit. Find his percentage profit.?


एक व्यक्ति 27 मीटर कपड़ा बेचकर 9 मीटर कपड़े का विक्रय मूल्य लाभ के रूप में प्राप्त करता है। उनके लाभ का प्रतिशत ज्ञात कीजिए?

A)
33%

B)
20%

C)
50%

D)
25%


Correct Answer :

50%


Explanation :

Profit = SP - CP
Profit% = (Profit* 100)/CP

Let SP of 1 meter cloth is x.
Then , SP of 27 meter cloth = 27x.
Gain=SP of 9 meter cloth = 9x.
CP = SP-gain=27x-9x=18x

Therefore %Gain = (9x*100)/18x
profit%= 50%.

If a person earns a profit of 10% by selling a car and incurs a loss of 20% while selling another car, find his overall profit or loss if the cost price of both the cars are same?


यदि एक व्यक्ति एक कार 10 प्रतिशत लाभ पर और एक अन्य कार 20 प्रतिशत हानि पर बेचता है। यदि दोनो कारो का क्रय मूल्य समान हो तो उसकी कुल लाभ या हानि ज्ञात करे?

A)
10% Loss

B)
15% Profit

C)
5% Loss

D)
10%Profit


Correct Answer :

5% Loss


Explanation :

Let the CPs of car is Rs.100
1st SP on profit of 10% = 100 + 10% * 100 = Rs.110.
2nd SP on loss of 20% = 100 - 20% * 100 = Rs.80.
Total CP of both car = Rs.200.
Total SP of both car = (110+80)= Rs.190

Loss = CP - SP = 200-190 = Rs.10
Loss%= (Loss * 100)/CP= (10*100)/200 = 5
So, 5% Loss

A trader sells his goods to a customer at a price 10% above the cost price; besides it he cheats his customer by giving 880 g only instead of 1 kg. Find his overall profit?


एक व्यापारी अपने समान को क्रय मूल्य से 10% अधिक मूल्य पर एक ग्राहक को बेचता है, इसके अलावा वह 1 किग्रा के स्‍थान पर केवल 880 ग्राम देकर अपने ग्राहक को धोखा देता है। उसका कुल लाभ ज्ञात कीजिए?

A)
22%

B)
22%

C)
25%

D)
20%


Correct Answer :

25%


Explanation :

Let, Original CP of 1000g = Rs. 1000
New CP,after 10% above= 1000 + 10 % of 100=> Rs.1100

Trader cheats his customer by giving 880g only instead of 1kg,
So, CP of 880g should be= Rs. 880
SP of 880g =CP of 1 kg+ 10% above of 1kg CP= 1000 + 100 =1100

Profit% = ((SP - CP)* 100)/CP
Profit % = [ ( 1100 - 880 ) / 880 ] * 100
Profit % = [ 220 / 880 ] * 100
Profit % = 25

A merchant bought 200 eggs, of which 38 got broken. He sold the remaining eggs at the rate of 4.80 per dozen and thus gained 8%. His cost price is?


एक व्यापारी ने 200 अंडे खरीदे , जिसमें से 38 टूट गए । शेष अंडे उसने 4.80 प्रति दर्जन की दर से बेच दिए और इस प्रकार उसे 8% का लाभ हुआ । उसका क्रय मूल्य है ?

A)
120

B)
80

C)
60

D)
45


Correct Answer :

60


Explanation :

Remaining eggs = 200 - 38 = 162
The rate of 4.80 per dozen, therefore selling price of 168 eggs, SP= 162 * (4.8/12) => 64.8

Profit% = ((SP - CP)* 100)/CP
8 = ((64.8 - CP)* 100)/CP
8*CP=6480-100*CP
108*CP=6480
CP=6720/108
CP=60

A stationer buys diaries at 75 rupees per dozen and sells them at 15 rupees per piece. What is the profit?


एक विक्रेता 75 रुपये प्रति दर्जन पर डायरी खरीदता है और उन्हें 15 रुपये प्रति पर बेचता है। लाभ क्या है?

A)
75

B)
100

C)
105

D)
110


Correct Answer :

105


Explanation :

Profit = SP - CP (if SP > CP),
Each dozen carries cost 75 rupees and are sold for 12 x 15 = 180 rupees
Profit = 180-75 = 105 rupees

6 % more is gained by selling a coat for Rs.1425 than by selling it for Rs. 1353. The cost price of the coat is


एक कोट को 1353 रुपये की बजाय 1425 रुपये मे बेचकर 6% अधिक लाभ प्राप्त किया जा सकता है। कोट का क्रय मूल्य क्या है?

A)
Rs. 1000

B)
Rs. 1250

C)
Rs. 1500

D)
Rs. 1200


Correct Answer :

Rs. 1200


Explanation :

6% of cost price (CP) = 1425 - 1353 = 72
Thus, CP = ( 72 * 100 ) / 6 = 1200

A trader sells two articles, one at a loss of 10% and another at a profit of 15% but finally there is no loss or gain.If the total sale price of these two articles is Rs.30,000, find the difference between there cost price?


एक व्यापारी दो वस्तुओं बेचता है, एक 10% की हानि पर और दूसरा 15% के लाभ पर है लेकिन अंत में कोई नुकसान या लाभ नहीं होता है। अगर इन दो वस्तुओं की कुल बिक्री मूल्य 30,000 रुपये है, तो उनकी लागत मूल्य के बीच का अंतर ज्ञात करे?

A)
Rs.5000

B)
Rs.6000

C)
Rs.7500

D)
None of these


Correct Answer :

Rs.6000


Explanation :

As given, 10 % x = 15% of y , then, x / y = 3/2 -------(1)
Total sale price of these two articles= x+y = 30000 -------(2)
By solving eq. (1) & (2) , x = 18000, y = 12000

Hence, the difference, (x-y)=6000

By selling a cycle for 2345, a student loses 19%. His cost price is nearly ?


एक साइकिल 2345 मे बेचकर, एक छात्र को 19% की हानि होती है। साइकिल कि क्रय कीमत लगभग है?

A)
4000

B)
5000

C)
3000

D)
3500


Correct Answer :

3000


Explanation :

Let cost price be X , Selling price = 2345 and loss = 19%
Cost price, X = (SP * 100)/(100 - Loss%)
= (2345 * 100)/(100 - 19%)
X = 234500/81 = 2895 ≈ 3000

On selling an article for Rs. 240, a trader loses 4%. In order to gain 10 % he must sell that article for


एक वस्तु को 240 रुपये मे बेचने पर, एक व्यापारी 4% की हानि होती है। 10% लाभ प्राप्त करने के लिए उसे उस वस्तु को बेचना होगा।

A)
Rs. 275

B)
Rs. 340

C)
Rs. 320

D)
Rs. 264


Correct Answer :

Rs. 275


Explanation :

Let the CP be Rs. x , then SP be 0.96x
Then, 0.96x = 240
⇒ x = 250

Now the new SP = 250 X 1.1 = 275

A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart?


एक आदमी ने घोड़ा और एक गाड़ी खरीदी। अगर उसने घोड़े को 10% नुकसान और 20% लाभ पर गाड़ी बेच दी, तो उसे कुछ भी हानि नहीं होगी; लेकिन अगर उसने घोड़े को 5% की हानि और 5% लाभ पर गाड़ी बेच दी, तो उसे सौदा में 10 रु की हानि होगी। उसके द्वारा क्रय की गई राशि घोड़े के लिए रु _______ और गाड़ी के लिए रु _______है ?

A)
400,200

B)
200,400

C)
500,300

D)
300,500


Correct Answer :

400,200


Explanation :

Let x be the cost price of the horse and y be the cost price of the cart.
In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.
Therefore (10/100) * x = (20/100) * y
x = 2 * y -----------------(1)
In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.Therefore
(5 / 100) * x = (5 / 100) * y + 10 -------(2)
Substituting (1) in (2) we get
(10 / 100) * y = (5 / 100) * y + 10
(5 / 100) * y = 10

y =cost price of the cart = 200
From (1) x= 2 * 200 =cost price of the horse = 400

If an article costs 60% of its selling price there is a profit of Rs.60. what is the selling price?


यदि किसी वस्तु का क्रय मूल्य उसके विक्रय मूल्य का 60% है तो उसका लाभ 60 रुपये है। विक्रय मूल्य क्या है?

A)
Rs. 125

B)
Rs. 120

C)
Rs. 140

D)
Rs. 150


Correct Answer :

Rs. 150


Explanation :

Profit = SP - CP (i.e., if SP > CP)
As given, CP = 60% of SP => (60/100) *SP

Thus,
60 = SP - (60/100) *SP
60 = SP*(40/100)
SP=(60*100)/40
the selling price is SP=150

An article is sold at a certain price. By selling it at 3/5 of that price one loss 10%. What is the gain percent at original price ?


एक वस्तु एक निश्चित कीमत पर बेचा जाता है। उस कीमत के 3/5 पर बेचकर 10% हानि होगी । मूल कीमत पर लाभ प्रतिशत क्या है?

A)
33%

B)
35%

C)
40%

D)
50%


Correct Answer :

50%


Explanation :

Profit = SP - CP ( if SP > CP)
Profit% = (Profit* 100)/CP

Let the cost price is Rs 100,Thus the selling price with 10% loss = Rs 90
that is, Rs 90 =3/5 of the original selling price

So the original selling price = 90 * 5/3 = Rs 150
Thus,gain = 150 -100 = 50
Gain% = (50*100)/100 => 50%

Radhe Shyam purchases 11 apples for Rs. 100 and sells 10 apples for Rs. 110. How much profit/loss does he make over the two transactions?


राधे श्याम 100 रुपये मे 11 सेब खरीदता है। और 110 रुपये मे 10 सेब बेचता है। वह लेनदेन पर कितना लाभ / हानि प्राप्त करता है।

A)
19% Profit

B)
1.9% Loss

C)
21% Profit

D)
21% Loss


Correct Answer :

21% Profit


Explanation :

C.P of 1 apples = 100/11
S.P of 1 apples = 110/10
Profit = S.P - C.P
=11-(100/11)
=(121-100)/11
=21/11

Profit% = (Profit/C.P)*100
=((21/11)/(100/11))*100
= 21%

By selling a watch for Rs 4950, a shopkeeper incurs a loss of 10%. What is the cost price of the watch for the shopkeeper?


एक घड़ी 4950 रुपये मे बेचकर दुकानदार 10% की हानि प्राप्त करता है। दुकानदार के लिए घड़ी की लागत कीमत क्या है?

A)
Rs 5650

B)
Rs 5500

C)
Rs 5550

D)
Rs 5450


Correct Answer :

Rs 5500


Explanation :

Selling price of watch, SP = 4950, Loss = 10%
SP = CP*(100 - Loss%)/100
Thus, 4950 = CP*(100 - 10)/100
CP = (4950 * 100) / 90
= 495000/90
cost price of the watch, CP = 5500

A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?


एक फल विक्रेता 9 रुपये प्रति किलो की दर से आमों को बेचता है और इस प्रकार उसे 20% हानि होती है। 5% का लाभ प्राप्ति के लिए उन्हें प्रति किलो किस कीमत पर बेचा जाना चाहिए ?

A)
Rs.11.81

B)
Rs.12

C)
Rs.12.25

D)
Rs.12.31


Correct Answer :

Rs.11.81


Explanation :

80 : 9 = 105 : x
x = (9×105/80)
= Rs.11.81
Hence, SP per Kg= Rs.11.81

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