# TISSNET Profit and Loss Questions [Download PDF]

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**Question 1:Â **An article was sold at a certain price. Had it been sold at $\frac{4}{5}$ of that price, there would have been a loss of 10%. At what profit percentage was the article sold initially?

a)Â 10.5

b)Â 15

c)Â 12.5

d)Â 10

**1)Â AnswerÂ (C)**

**Solution:**

Let the cost price of article be rs.100 and Profit be x%.

Initially selling price =Â 100 + 100 \times \frac{x}{100} = 100 + x

loss = 10%

Final SP = $(100 + x) \times \frac{4}{5} = \frac{4(100 + x)}{5}$

100 $\times \frac{90}{100} =Â \frac{4(100 + x)}{5}$

90 = $\frac{400 + 4x}{5}$

x = 50/4 = 12.5%

**Question 2:Â **A dealer allows 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how much discount percentage should he allow on the marked price so as to earn the same percentage of profit as before?

a)Â 12%

b)Â 8.5%

c)Â 10%

d)Â 7.25%

**2)Â AnswerÂ (C)**

**Solution:**

Let the initial cost price of the article be Rs.100.

profitÂ = 20%

Selling price = 100$ \times \frac{120}{100}$ = 120

Discount = 25%

75% of MRP = 120

MRP = 120$ \times \frac{100}{75}$ = 160

Final cost price = 100Â $\times \frac{120}{100}$ = 120

profit = 20%

Selling price = 120 $\times \frac{120}{100}$ = 144

Discount = 160 -144 = 16

Discount% = 16 $\times \frac{100}{160} = 10%$

**Question 3:Â **The marked price of an article is â‚¹250. After allowing two successive discounts of 20% and x% on the marked price, it is sold for â‚¹185.60. What is the value of x?

a)Â 8.4%

b)Â 7.2%

c)Â 6.8%

d)Â 7.6%

**3)Â AnswerÂ (B)**

**Solution:**

Discount = marked price – selling price = 250 – 185.60 = 64.4

Discount = 250 $\times \frac{20}{100} \times \frac{x}{100}$

64.4 = 50Â $\times \frac{x}{100}$

Selling price = marked price $\times \frac{100 – discount}{100}$

185.6 = 250Â $\times \frac{100 – 20}{100}Â \times \frac{100 – x}{100}$

185.6 = 250 $\times \frac{80}{100} \times \frac{100 – x}{100}$

18560 = 25$ \times 8 \times (100 – x)$

x = 100 – 92.8 = 7.2%

**Question 4:Â **The marked price of a washing machine is â‚¹7,200.if it sold for â‚¹5,512.50 after two successive discounts of x % each . The value of x is

a)Â 12

b)Â 12.5

c)Â 10.5

d)Â 15

**4)Â AnswerÂ (B)**

**Solution:**

As per the given condition in the question,

The marked price of washing machine =7200Rs.

Sold price of washing machine =5512.5Rs

Discount =x%

So, $\dfrac{7200\times (100-x)(100-x)}{100\times 100}=5512.50$

$\Rightarrow \dfrac{72\times (100-x)^2}{100}=5512.5$

$\Rightarrow (100-x)^2=\dfrac{5512.5\times 100}{72}$

$\Rightarrow (100-x)^2=7656.25$

$\Rightarrow 100-x=87.5$

$\Rightarrow x=100-87.5=12.5\%$

**Question 5:Â **A person bought an article at 30% discount on its marked price. The person then sold it at 30% profit for â‚¹427.70. What was the marked price of the article?

a)Â â‚¹470

b)Â â‚¹450

c)Â â‚¹500

d)Â â‚¹480

**5)Â AnswerÂ (A)**

**Solution:**

Given,Â %profit = 30%, S.P. =427.70 rs, discount% = 30%

LetÂ Â Â C.P. of article is x rs.

profit$=30$% of c.p.

profit$=\dfrac{30x}{100}$

profit$=\dfrac{30x}{100}$

profit$=\dfrac{3x}{10}$

profit$=S.P.-C.P.$

$\dfrac{3x}{10}=427.70-x$

$\dfrac{3x}{10}+x=427.70$

$\dfrac{13x}{10}=427.70$

$13x=4277$

$x=\dfrac{4277}{13}$

$x=329$rs.

C.P.= MP-discount

CP=70%OF MP

$329=\dfrac{70MP}{100}$

MP$=\dfrac{329\times100}{70}$

MP=470 rs.

**Question 6:Â **On selling an article for â‚¹115, the gain is 20% more than the loss incurred on selling it for â‚¹104. If the article is sold forÂ â‚¹130.80, then the profit percentage is:

a)Â 25

b)Â 18

c)Â 30

d)Â 20

**6)Â AnswerÂ (D)**

**Solution:**

The selling price of article = Rs 115

If selling price would be = Rs 104

then gain = 20 % max

let the Cost price of article Rs $x$

$\Rightarrow\dfrac{115-x}{1} = \dfrac{120}{100} \times \dfrac {x-104}{1} $

$\Rightarrow\dfrac{115-x}{1} = \dfrac{6}{5}\times \dfrac{x-104}{1}$

$\Rightarrow (115-x) \times 5 = 6\times (x-104)$

$\Rightarrow 575-5x = 6x-624 $

$\Rightarrow 11x =1119 $

$\Rightarrow x = 109 $

If selling price would be = 130.80

profit = 130.80-109 = 21.80

then profit % = $\dfrac{21.80} {109} \times 100 $

= 20 % Ans

**Question 7:Â **A shopkeeper has announced 40% rebate on the price of TV sets at the time of sale. If a purchaser needs to have a rebate of â‚¹26,400, then how many TV sets each costing â‚¹6,000 should he purchase?

a)Â 9

b)Â 11

c)Â 8

d)Â 12

**7)Â AnswerÂ (B)**

**Solution:**

M.P. of 1 TV= 6000rs

rebate on 1 TV= 40%of 6000=2400rs

let he purchases x no of tv’s

rebate on x tv’s=26400

$x\times2400=26400$

$x=\dfrac{26400}{2400}$

$x=11$

**Question 8:Â **There is a 15% discounton 8 shirts marked at â‚¹9,600. How many shirts can be bought with â‚¹5,100?

a)Â 4

b)Â 5

c)Â 3

d)Â 6

**8)Â AnswerÂ (B)**

**Solution:**

The selling price of 8 shirts = $ 9600 ( 1- \dfrac{15}{100}) Rs$

$\Rightarrow 9600\times \dfrac{85}{100} =8160 Rs$

$\Rightarrow 8160 Rs = 8 shirts$

then 5100 Rs = $ \dfrac{8 \times 5100}{8160} = 5Â Â shirts Ans $.

**Question 9:Â **Mangoes are boughtat a rate of â‚¹10,000 perton. If one-third of the total mangoes are sold at a loss of 4%, then at what price (per ton) should the remaining mangoes be soldso as to gain 30% on the whole transaction?

a)Â â‚¹15,000

b)Â â‚¹13,500

c)Â â‚¹14,700

d)Â â‚¹14,600

**9)Â AnswerÂ (C)**

**Solution:**

Let, the rest mangoes should be sold at $x$

so In case of first = $\dfrac{1}{3}rd$

selling price = $\dfrac {1}{3}\times 10000 \times\dfrac {96}{100}$

$\Rightarrow \dfrac{9600}{3} $

$\Rightarrow 3200 $

total profit on whole transaction = 30 %

so total selling price = $10000\times \dfrac{130}{100} $

$\Rightarrow 10000\times \dfrac{130}{100}$

$\Rightarrow 13000 Ans $

In case of rest $\dfrac{2}{3}rd$Â selling price = 13000-3200 = 9800

henceÂ $\dfrac{2}{3}x = 9800 $

$\Rightarrow x = 9800 \times \dfrac{3}{2}$

$\Rightarrow x = 14700 Ans $

**Question 10:Â **The profit on selling an article for â‚¹1,100 is equal to three times the amount of loss on selling it for â‚¹700. To gain 12.5%, the article must be sold for:

a)Â â‚¹787.50

b)Â â‚¹877.50

c)Â â‚¹956

d)Â â‚¹900

**10)Â AnswerÂ (D)**

**Solution:**

SupposeÂ cost price (cp) = $x$

then according to question $1100 -x =3 (x-700)$

$\Rightarrow 1100 – x = 3x-2100$

$\Rightarrow 4x = 3200 $

$\Rightarrow x = 800 $

so gain 12.5% profit

profit = $\dfrac {12.5}{100}\times 800 $

$\Rightarrow 100 $

so article must sold = 800 + 100 = 900 Ans

**Question 11:Â **If a discount of 10% is allowed on the marked price of an article, a shopkeeper gets a profit of 25%. If he offers a discount of 25% on the marked price of the same article, then his percentage profit/loss will be:

a)Â $4\frac{1}{6}\%$ profit

b)Â $4\%$ loss

c)Â $4\frac{1}{6}\%$ loss

d)Â $4\%$ profit

**11)Â AnswerÂ (A)**

**Solution:**

Let the Market price of the article Rs 100

Discount = 10%

% Selling price = 90 % of Rs 100

$\Rightarrow \dfrac{90}{100} \times 100 $

$\Rightarrow 90 $

profit = 25%

so cost price = $ 90 \times \dfrac{100} {125} $

$\Rightarrow Rs 72 $

Now, if the discount is 25% then

selling price = $ \dfrac{75}{100} \times 100 $

$\Rightarrow 75 $

Required profit % = $\dfrac {75-72} {72 }\times 100$

$\Rightarrow \dfrac{3}{72} \times 100 $

$\Rightarrow \dfrac{25}{6} $

$\Rightarrow 4 \dfrac{1}{6} $ % Ans

**Question 12:Â **The marked priceofan article is â‚¹800. A retailer buys it for â‚¹540 after getting two successive discounts. The first discount is 25%. What is the second discount?

a)Â 15%

b)Â 12%

c)Â 10%

d)Â 8%

**12)Â AnswerÂ (C)**

**Solution:**

Price after the first discount = $ 800 – \dfrac{25}{100}\times 800 $

$\RightarrowÂ Rs 600 $

Let secound discountÂ = $x$

thenÂ Â Â $ 600 – \dfrac{x}{100}\times 600 = 540 $ (according to question)

$\Rightarrow \dfrac{100-x}{100} = \dfrac{540}{600}$

$\Rightarrow 100 – x = 90 $

$\Rightarrow x = 10$ % Ans

**Question 13:Â **After allowing 10% discount on the marked price of an article, a person makes a profit of 16%. If the cost price of the article is â‚¹648, then its marked price is:

a)Â â‚¹826.80

b)Â â‚¹835.20

c)Â â‚¹751.68

d)Â â‚¹910.40

**13)Â AnswerÂ (B)**

**Solution:**

Let the market price = Rs $x$

given that discount = 10Â %

so selling price = Rs $(x – \dfrac{10}{100} of x)$

$\Rightarrow Rs \dfrac{90x}{100} $

again given that profit = 16% and cost price = Rs 648

so selling price = $Rs (648 + \dfrac{16}{100} of 648 ) $

$\Rightarrow Rs \dfrac{116}{100}\times 648 $

By the problem$ \dfrac{116}{100} 648 = \dfrac{90x}{100}$

$\Rightarrow x = \dfrac{116\times 648}{90} $

$\Rightarrow x = Rs 835.2 $Ans

**Question 14:Â **The marked price of an article is â‚¹530. After two successive discounts,it is sold for â‚¹396.44. If the first discount is 15%, and the second discount is x%, then what is the value of x?

a)Â 10.5

b)Â 10

c)Â 12.5

d)Â 12

**14)Â AnswerÂ (D)**

**Solution:**

Given that market price = Rs 530

After 15% discount = $530 – 530\times \dfrac {15}{100}$

$\Rightarrow Rs 405.5$

After second discount price = 396.44

so second discount = 450.5 – 396.44 =Rs 54.06

so $\dfrac{450.5\times x} {100} = 54.06 $

$Rightarrow \dfrac {540}{450.5}Â Â $

$\Rightarrow 12$% Ans

**Question 15:Â **By selling an article for â‚¹1,134, Anu suffers as much loss as she would have gained by selling it at 10% profit. If sheÂ sells it for â‚¹1,354.50, then her profit percentage is

a)Â 9

b)Â 8

c)Â 8.4

d)Â 7.5

**15)Â AnswerÂ (D)**

**Solution:**

Let the cost price = $x$

So as per question $x – 1134 = \dfrac{10}{100}x $

$\Rightarrow 0.9 x = 1134 $

$\Rightarrow x = 1260 $

Now selling it Rs 1354.5

then % gain = $\Rightarrow {1354.5-1260}{1260} \times 100 $

$\Rightarrow 7.5 $%Ans

**Question 16:Â **An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at x% profit. What is the value of x?

a)Â 48

b)Â 75

c)Â 72

d)Â 52

**16)Â AnswerÂ (D)**

**Solution:**

Let the Cp(cost price) be = $x$ andÂ Mp(Marlet price) will be = 2$x$

Accordig to questionÂ Two successive discount 5% and 20 %

Selling price (sp) = $ 2 x \times \dfrac{95}{100} \times \dfrac{80}{100} $

$\Rightarrow \dfrac{152}{100}x $

Profit = selling price – cost price =$\dfrac{152}{100}x – x $

$\Rightarrow \dfrac{152x-100x}{100 } = \dfrac{52}{100}x $

$\RightarrowÂ Â value of x = \dfrac { \dfrac {52}{100}x} {x} \times 100 $

value of x =$ \dfrac{52}{100}x \times \dfrac{1}{x} \times 100 $

$\Rightarrow x = 52 $Ans

**Question 17:Â **A trader buys an article at 80% of its marked price and sells it at 10% discount on its marked price. His percentage profit is:

a)Â $10\frac{1}{2}$

b)Â $10$

c)Â $12\frac{1}{2}$

d)Â $15$

**17)Â AnswerÂ (C)**

**Solution:**

Let M.p be market price of article

so Cp = $\dfrac{80}{100}\times M.PÂ $

Sp = $ M.P \times \dfrac{90}{100}$

then % profit = $ \dfrac {sp-cp}{cp}\times 100 $

$\Rightarrow \dfrac{10}{80}\times 100 $

$\Rightarrow 12.5 =12\dfrac{1}{2}$ Ans

**Question 18:Â **A person sold a chair at a profit of 13%. Had he sold it for â‚¹607.50 more, he would have gained x%. If the cost price of the chair is â‚¹3750, then the value of x is:

a)Â 30

b)Â 32

c)Â 28.4

d)Â 29.2

**18)Â AnswerÂ (D)**

**Solution:**

Cost price of chair = Rs. 3750

Selling price after 13 % profit = $\frac{113}{100}\times3750=Rs.$ $4237.50$

According to ques, new selling price = Rs.Â $4237.50+607.50=Rs.$ $4845$

=> $\frac{4845-3750}{3750}\times100=x$

=> $x=\frac{1095}{37.5}=29.2\%$

=> Ans – (D)

**Question 19:Â **Sujatha sold 75% of her goods at a profit of 24% and the remainingat a loss of 40%. Whatis her gain/loss percentage on the whole transaction?

a)Â 8% gain

b)Â 10% gain

c)Â 9% loss

d)Â 7.5% loss

**19)Â AnswerÂ (A)**

**Solution:**

Let total number of goods be 100 and Cost Price of each good = Rs. 100

=> Total cost price = Rs.Â 10,000

Now, selling price of 75 goods at 24%Â profit = $75\times(\frac{124}{100}\times100)=Rs.$ $9300$

Similarly, S.P. of 25 goods at 40% loss = $25\times60 = Rs.$ $1500$

=>Â TotalÂ selling price = Rs. 10,800

$\therefore$ Overall Gain % = $\frac{(10800-10000)}{10000}\times100=8\%$

=> Ans – (A)

**Question 20:Â **Raghu sold an article for â‚¹180 after allowing a 20% discounton its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?

a)Â â‚¹190.40

b)Â â‚¹192.80

c)Â â‚¹188.60

d)Â â‚¹187.50

**20)Â AnswerÂ (D)**

**Solution:**

Selling price of article = Rs. 180

Marked price after 20% discount = $\frac{180}{80}\times100=Rs.$ $225$

If there was no discount, then Selling price = Rs. 225

=> Cost price after 20% profit = $\frac{225}{120}\times100$

= $\frac{1125}{6}=Rs.$ $187.50$

=> Ans – (D)