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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%
thus, Cost price CP = (SP * 100)/(100 - Loss%)
= (4950 * 100)/(100 - 10)
= 495000/90
= 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

A shopkeeper marks his goods at such a price that he can deduct 20% for cash and yet make 20% profit. The marked price of an item which cost him 180 is?

एक दुकानदार अपने सामान को इस तरह के मूल्य पर चिह्नित करता है कि वह नकद के लिए 20% कटौती कर सकता है और फिर भी 20% लाभ कमा सकता है। 180 की कीमत वाली किसी वस्तु का चिह्नित मूल्य क्या होगा ?

A) 270

B) 240

C) 245

D) 260

Correct Answer :270

Explanation : CP = 180,Gain = 20%
SP = (120/100) * 180= 216

Let the Marked Price be x.
Then, 80% of x = 216
80x/100 = 216
x =216*100/80 =217

Thus, Marked Price is 270

A dealer buys an article marked at 40000 with 20% and 10% off. He spends 1200 on its repairs and sells it for 30000. What is his gain or loss per cent?

एक दुकानदार 40000 चिह्नित एक वस्तु पर 20% और 10% क्रंमबद्ध छूट के साथ खरीदता है। वह अपनी मरम्मत पर 1200 खर्च करता है और इसे 30000 के लिए बेचता है। उसका लाभ या हानि प्रतिशत क्या है?

A) 10% gain

B) 10% loss

C) no profit no loss

D) None of the above

Correct Answer :no profit no loss

Explanation : CP = (80% of 90% of 40000) + (1200)
= (80/100)*(90/100)*40000 + (1200)
= (28800 + 1200)
= 30000
So, CP = 30000 and SP = 30000
therefore no gain no loss in the transaction.

Successive discount of 10% and 10% are equivalent to a single discount of ?

10% और 10% की क्रंमबद्ध छूट, एक ही छूट के बराबर होगी?

A) 19%

B) 21%

C) 21%

D) 18%

Correct Answer :19%

Explanation : Let the CP be 100. Then,
SP = 90% of 90% of 100
= (90/100)*(90/100)*100
= 81

Single discount = (100-81)% = 19%

Gourav bought a scooter for 45000 rupees. If the shopkeeper has given him a discount of 10%, what was the marked price of the scooter?

गौरव ने 45000 रुपये मे एक स्कूटर खरीदा। अगर दुकानदार ने उसे 10% की छूट दी है, तो स्कूटर का अकिंत मूल्य क्या था?

A) 50000

B) 55000

C) 65000

D) 60000

Correct Answer :50000

Explanation : Let marked price was X. then
X - 10% of X = 45000
0.9X = 45000
X = 45000/0.9
X = 50000
The marked price price was Rs. 50000

A cycle dealer sells a bicycle at a gain of 8%. Had he sold it for Rs. 75 less, he would have lost 2%. What is the cost price of the bicycle?

एक साइकिल डीलर साइकिल को 8% के लाभ पर बेचता है। अगर उसने इसे 75 रु कम मे बेची होती, वह 2% खो दिया होता। साइकिल की लागत कीमत क्या है।

A) Rs. 850

B) Rs. 350

C) Rs. 750

D) Rs. 450

Correct Answer :Rs. 750

Explanation : Let x be the cost price
selling price = [100 + gain%)/100]*x =108*x/100

if he had sold it at Rs 75 less, he would have lost 2% i.e.
108*x/100 - 75 = 98*x/100
108*x - 7500 = 98*x
10x = 7500

Cost price X= Rs 750

By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold at Rs. 96 so as to have 20% profit?

एक व्यक्ति को 160 रुपये के 90 बॉल पेन बेचकर 20% की हानि हुई । 96 रुपये के कितने बाल पेन बेचे जाए कि 20% का लाभ हो ?

A) 36

B) 37

C) 46

D) 47

Correct Answer :36

Explanation : sp of 90 ball pens = rs 160 =20% loss
so, cp of 90 ball pens = 160*100 / (100-20) =rs 200
cp of 1 ball pen =200/90 =20/9

let X ball pens are sold to earn20% profit
then , cp of X ball pens = X*(20/9)
as given SP of X ball pens = rs 96 , 20% profit

hence X*(20/9)=96*100 / (100+20) = 80
X=80*(9/20) = 36

So, 36 ball pens should be sold for rs 96 to earn profit of 20%