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1.

The percentage profit earned by selling an article for Rs. 2200 is equal to the percentage loss incurred by selling the same article for Rs. 1100. At what price should the article be sold to make 30% profit?1. 20162. 20173. 21454. 20205. 2019

Answer» Correct Answer - Option 3 : 2145

Given:

The article be sold to make 30% profit

Profit earned by selling an article for Rs. 2200 = Percentage loss by selling same article Rs. 1100

Formula used:

Percentage profit = [(selling price – cost price)/cost price] × 100

Calculation:

Let C.P. be Rs. X

Then, [(2200 – X)/X] x 100 = [(X – 1100)/X] × 100

⇒ 2200 - X = X- 1100

⇒ 2x = 3300

⇒ x = 1650

Required S.P. = 130% of Rs. 1650

⇒ (130/100) x 1650

⇒ 2145

∴ The price of article is 2145.

2.

A man bought3 oranges for Rs. 5, 5 oranges for Rs. 7 and 7 oranges for Rs. 9. Find the approx selling price per article to make a profit of 10%?1. Rs. 1.62. Rs. 2.33. Rs. 2.74. Rs. 1.2

Answer» Correct Answer - Option 1 : Rs. 1.6

Given:

CP of 3 oranges = Rs. 5

CP of 5oranges = Rs. 7

CP of 7oranges = Rs. 9

Concept:

To do this type sum, equal the number of articles bought.

Calculation:

Taking LCMof the number of oranges bought;

LCM of 3, 5and 7= 105

∴ Price of 3 oranges = Rs 7

⇒ Price of 105oranges = Rs 5× 35 = Rs. 175

Price of 5oranges = Rs 7

⇒ Price of 105oranges = Rs 7× 21= Rs. 147

Price of 7oranges = Rs 9

⇒ Price of 105oranges = Rs 9× 15= Rs. 135

∴ Price of 315 oranges = Rs. 175 + Rs. 147+ Rs. 135

= Rs. 457

∴ Selling price with 10% profit = 457 + (10/100)× 457

= 457 + 45.7

= Rs. 502.7

∴ Selling Price of eacharticle = 502.7/315

= Rs. 1.6Approx

3.

If selling price is doubled, the profit triples. Find the profit percent:

Answer»

100%



Let C.P. be RS. X and S.P. be RX. y. 

Then, 3(y - x) = (2y - x) => y = 2X 

Profit = (y - x) = Rs. (2x - x) = Rs. x 

Profit % = x/x * 100 = 100%.

4.

The successive discounts 20% and 15% are equal to a single discount of?

Answer»

32%



Let the CP of an article be Rs. 100

Given that SUCCESSIVE discounts are 20% and 15%.

SP = 85% of 80% of 100 = (85/100)(80/100)(100)

=> SP = Rs. 68

Clearly, single DISCOUNT is 32%.

5.

A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?

Answer»

8.33%



C.P. of 1 KG = 420/7 = RS. 6 

S.P. of 1 kg = Rs. 6.50 

Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %

6.

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

Answer»

5.6%



C.P. of 1 TOY = 375/12 = RS. 31.25

S.P of 1 toy = Rs. 33

Profit = 1.75/31.25 * 100 = 28/5 = 5.6%

7.

A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:

Answer»

140%



Let C.P. = Rs. X

Then, S.P. = Rs. (12% of x) = Rs. 6x/5

New S.P. = 2 * 6x/5 = Rs. 12x/5

Profit = 12x/5 - x = Rs. 7x/5

Profit = 7x/5 * 1/x * 100 = 140%.

8.

A wholesaler sells toys at a profit of 20% to a retailer and retailer sells these toys to its customer at a profit of 25%. What is the profit percentage of the retailer?

Answer»

25%



Its SIMPLE i.e. 25% NOTHING ELSE, which is very OBVIOUS

9.

Radha sells an article for Rs 3240 and earns a profit of 20%. What is the cost price of the article ?

Answer»

RS. 2700



Cost PRICE of the ARTICLE 

10.

Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra?

Answer»

RS. 8000



The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.

:. Narendra’s SHARE on profit of Rs.10000 = 10000 × 4/5 = Rs.8000.

11.

Jimmy bought paper sheets for Rs. 7200 and spent Rs. 200 on transport paying Rs. 600 he had 330 boxes made, which he sold at Rs. 28 each. What is his profit percentage ?

Answer»

15.5%



C.P. of 330 boxes = Rs. (7200 + 200 + 600) = Rs.8000
S.P. of 330 boxes = Rs. (330 x 28) = Rs. 9240
GAIN % = (1240 / 8000) x 100 % = 15.5%

12.

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

Answer»

Rs. 960



Here always remember, when ever x% loss, 
it MEANS S.P. = (100 - x)% of C.P
when ever x% PROFIT,
it means S.P. = (100 + x)% of C.P

So here will be (100 - x)% of C.P.
= 80% of 1200 
= 80/100 * 1200
= 960

13.

By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?

Answer»

RS. 38000



CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000

14.

If the selling price of 40 articles is equal to the C.P. of 50 articles, the loss of gain per cent is:

Answer»

25 % GAIN



25 % gain

15.

A person buys a book for Rs. 200 and sells it for Rs. 225. What will be his gain percent ?

Answer»

12.5%



Given that, CP = Rs. 200 and SP = Rs. 225
Profit = SP - CP = 225 - 200 = Rs. 25
∴ Gain% = [profit/CP] x 100%
= (25/200) x 100% = 12.5%

16.

A shopkeeper purchased 120 kg of grain at the rate of 15 per kg from a wholesaler. He sold 60 kg at the profit of 10%. At what rate per kg should he sell the remaining grain to earn a profit of 15% on

Answer»

18



SP of 120 kg at 15% PROFIT
 = 50 = 115/100 = 2076
SP of 60 kg = 60 x 15 x 110/100 = 990
PRICE of remaining grain = 2070 - 990/60

17.

The cost of 2 tables is equal to the cost of 5 chairs. If the difference of the cost of one table and one chair is Rs. 1200, then the cost of one chair is ?

Answer»

Rs. 800



Let the COST of the table be Rs. X and the cost of the chair = Rs. y 

From 1st condition, 
2x = 5y
⇒ x= 5y/2

From 2nd condition 
x - y = 1200 
⇒ (5y / 2) - y = 1200
3y / 2 = 1200
y = Rs. 800

18.

On selling 17 balls at Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of each ball is

Answer»

60



Here SP of 17 BALLS = CP of 12 balls = 720

Therefore, CP of 1 ball = 720/12 = 60.

19.

Mohit Purchased A watch for 1000 Rs and then Sold it to Nimesh for 1250 Rs.

Answer»

25 %



Mohitpurchases at 1000 Rs. 

SO C.P = 1000 Rs.

And then he SELLS it at 1250 Rs 

Now Profit as I told is nothing but SP - CP So profit = 1250-1000 = 250 Rs

Now Profit % = [(Profit)/CP*100] So profit % = [(250/1000)*100] = 25%

20.

Seema sold a mobile phone at the cost of Rs.1950 at a loss of 25%. At what cost will she have to sell it to get a profit of 30%?

Answer»

Rs. 3380



Here, the SP is 75% of CP.

CP = 1950 x 100/75 = Rs. 2600.

To get a profit of 30% the SP should be = 2600 + 30% of 2600= Rs. 3380

21.

If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is

Answer»

25 %



LET the COST Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12

Loss = 16 - 12 = Rs 4

Loss % = (4/16)* 100 = 25%

22.

A person bought two tables for Rs. 1300. He sold one table at gain of 40% & the other at loss of 12.5%. If he sold at same price, what is cost price of table which was sold at 12.5% loss ?

Answer»

Rs. 800



Let the cost PRICE of first table be and that of second be y
X + y = 1300 ......(I)
x + x x 40/100 = y - y x 25/100
∴ 140x/100 = 175y/200
8X = 5y ......(II)
From eqn (I) & (II),
x = 500 and y = 800

23.

On selling 17 balls at Rs 720, there is a loss equal to the cost price of the 5 balls. The cost price of each balls is

Answer»

Rs 60



(CP of 17 balls ) - (SP of 17 balls) 
= CPof 5 balls 
∴ Cp of 12 balls = SP of 17 balls = 720
∴ CP of 1 BALL = Rs (720/12) = Rs 60

24.

Ghanashyam purchased an article for 1850. At what price should he sell it so that 30% profit is earned?

Answer»

2405



The SP should be CP + 30% of CP = 1850 + 555 = 2405.

25.

A gold bracelet is sold for 14500 at a loss of 20%. What is the cost price of the gold bracelet?

Answer»

18125



The SP of the GOLD BRACELET is 80% of the CP.

:. CP = 14500 × 100/80 = 18125.

26.

Ram sold an article for 3480 and earned a profit of 16%. At what price should it have been sold so as to earn a profit of 32.5%?

Answer»

3975



SP = 116 % of CP = 3480 :. CP = 3480 × 100/116 = 3000/-

32.5% of 3000 = 975

:. The expected SP = 3000 + 975 = 3975.

27.

Sunita bought a watch at 40% discount on the selling price. If the watch costs her Rs 3414, what is the original selling price of the watch ?

Answer»

Rs 5690



Let the market PRICE be X 
(100 - 40)% = 60%
THEREFORE, 60% of x = 3414
Therefore, x =(3414 x 100) / 60

28.

Vandana sells an article for Rs 3240 and earns a profit 20%. What is the cost price of the article ?

Answer»

Rs. 2700



Cost price of the article 
= 3240 X 100/(100 + 20)
= 3240 x 100/120
= Rs 2700

29.

A reduction of 10% in the price of salt enables a person to buy 2 kg more for Rs.180. Find the reduced and the original price per kg of salt respectively.

Answer»

Rs 9, Rs 10



Let originally he buy X kg for Rs. 180
Now, he will buy X+2 kg for Rs. 180.
Reduction in original price =10%
(180/X)/kg*90/100 = [180/(X+2)]/kg
90(X+2) = 100X
X = 18
Therefore, Originally he bought 18 kg.
Original Price = Rs. 10/kg
Reduced Price = Rs. 9/kg

30.

On selling 17 toys at Rs. 720, there is a loss equal to the cost price of 5 toys . The cost price of a Toy is:

Answer»

Rs. 60



Cost PRICE of 17 toys – Selling price of 17 toys = cost Priceof 5 toys
Cost price of 12 toys = selling Price of 17 toys= 720
Cost price of 1 toy= 720/12= 60 

31.

By selling 8 dozen of pencils, a shopkeeper gains the selling price of 1 dozen pencils. His gain per cent is:

Answer»

14 % GAIN



14 % gain

32.

A man sold 18 cots for Rs.16800, gaining thereby the cost price of 3 cots. Find the cost price of a cot.?

Answer»

800



Let the cost of ONE cot = X

Then CP of 18 cots = 18X; GIVEN, SP of 18 cots = 16800

Gain = 3x

i.e. 16800 – 18x = 3x and 21X = 16800; :. x= 800

So, the cost of one cot = 800.

33.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is:

Answer»

600



600

34.

A dealer sells his goods at cost price 800 gm weight for 1 kg his gain or loss percentage is

Answer»

25 % GAIN



Cost PRICE ---> 800 

SELLING price --->1000 

= ( 1000 ~ 800 )/800 * 100 ==> 200/800 * 100 = 25% gain

35.

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

Answer»

RS. 275



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

Now the NEW SP = 250 X 1.1 = 275

36.

A milkman sells such milk which contains 5% water. What amount of pure milk should be added to 5 litres milk so that the percentage of water be reduced to 2% ?

Answer»

7.5 LITRES



7.5 litres

37.

Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?

Answer»

15,000 RS.



Let the CP be Rs. X.

Had he offered 10% discount, profit = 8%

Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200

=> 1.08x = 16200

=> x = 15000

38.

A dealer sells his goods at cost price 900gm weight for 1kg his gain percentage is

Answer»

11 1/9% gain 



COST PRICE ---> 900 

SELLING price --->1000 

= ( 1000 ~ 900 )/900 * 100 ==> 100/900 * 100 = 11 1/9% gain

39.

A, B and C are partners of a company. During a particular year A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs.5000. How much did A receive?

Answer»

4000



Let ‘x’ be the TOTAL PROFIT in that PARTICULAR year.

x-(x/3 + x/4) = 5000. » x- 7x/12 = 5x/12 ; i.e. 5x /12=5000; :. x= 12000.

:. A’s amount = 12000/3 = 4000.

40.

Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs. 355. the cost of the commodity is ?

Answer»

RS. 390



Let C.P. = Rs. X
425 - x = x - 355
2 x = 780
∴ x = 390

41.

A dealer professing to sell his goods at cost price, uses 900gm weight for 1 kg. His gain percent is

Answer»

11 1/9 %



GAIN %

42.

A dealer buys dry fruits at Rs. 100, Rs. 80, and Rs. 60 per kilogram. He mixes them in the ratio 3:4:5 by weight and sells at a profit of 50%. At what price per kilogram does he sell the dry fruits?

Answer»

NONE of these



None of these

43.

A trader mixes 25% kerosene to his petrol and then he sells the whole mixture at the price of petrol. if the cost price of kerosene be 50 % of the cost price of petrol, what is the net profit percenta

Answer»

11 1/9 



K = 1 litre, PRICE of K = 1
P = 4 litre price of P = 2

price of total (NEW) mixture = 1 X 1 + 4 X 2 = Rs. 9
price of pure PETROL of same quantity = 5 X 2 = Rs. 10 
Percentage profit = [(10-9) / 9] x 100 = 11 1/9 %

44.

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is

Answer»

40 % LOSS



There is a loss. PERCENTAGE of loss = 5 – 3/5 × 100 = 40%.

45.

An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price.

Answer»

35 %



LET

46.

The cost price of an article, which on being sold at a gain of 10% yields Rs. 6 more than when it is sold at a loss of 10% is ?

Answer»

Rs. 30



10% profit - 10% loss = 6
⇒ 20% of cost PRICE = Rs. 6
⇒ Cost Price = (6 x 100)/ 20 = Rs. 30.

47.

A shopkeeper sold sarees at Rs.266 each after giving 5% discount on labeled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of eac

Answer»

RS. 250



95% of the labeled price = Rs. 266; :. Labelled Price = 266 × 100/95 = Rs.280

i.e. 112% of CP = Rs.280; So, the COST price = 280 × 100/112 = Rs.250.

48.

A shopkeeper calculate percentage profit on the buying price and another on the selling price. What will be their difference in profits if both claim a profit of 20% on goods sold for Rs. 3000?

Answer»

RS. 200



Rs. 200

49.

Sonika spent Rs. 45760 on the interior decoration for her home, Rs.27896 on buying Air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount?

Answer»

102300



The TOTAL EXPENSE = 45760 + 27896 = 73656 = 72% of the Total AMOUNT.

:. Total amount = 73656 × 100/72 = 102300.

50.

A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.

Answer»

5.88 %



C.P. of 1ST TRANSISTOR = ((100/120)∗840)