New Pattern Profit & Loss Questions along with Detailed Solutions

Profit & Loss is an essential part of competitive examinations and thus it’s important to know what all new pattern questions are asked and how to solve them. We at PracticeMock understand that the quant section is all about practice which is why we are consistently providing practice questions for all the important topics. In this blog we will be discussing New Pattern Profit & Loss Questions along with Detailed Solutions. For all those who find profit & loss a difficult concept to understand here this blog will be of great help to all. 

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Profit and Loss:

Some basic terms, associated with profit and loss:

Cost price (CP) = The price for which a commodity/article is bought is called cost price.

Selling price (SP) = The price for which a commodity/article is sold is called selling price.

Profit/Gain = The difference (SP – CP) between selling price and cost price is called the profit.

Loss = The difference (CP – SP) between cost price and selling price is called loss.

Marked price (MP) = The price at which a seller has labelled an article is called marked price.

Discount = The reduction made on the marked price of the article is called discount.

Some important formulae associated with profit and loss.

1. Profit = SP – CP

2. Loss = CP – SP

3. Profit percentage = {(Profit)/Cost price} × 100

4. Loss percentage = {(Loss)/Cost price} × 100

5. Discount allowed = MP – SP

6. Discount percentage = (discount allowed/marked price) × 100

Special case:

If an article is sold at cost price, but using a false weight, then the overall profit percentage;

= {(100 + Gain%)/100} = {(True Scale or Weight) ÷ (False Scale or Weight)}

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New Pattern Profit & Loss Questions along with Detailed Solutions

Question 1: A shopkeeper marked his products at x% above the cost price and sold them after a discount of ‘x – 10’% of the marked price. In this transaction he made a profit of 4%. Find the value of x.

A) 25

B) 30

C) 35

D) 40

E) None of these

Question 2: A shopkeeper bought an article and sold it with a profit of 40%. Had he bought it for Rs. 100 less and sold it for Rs. 20 less, he would have gained 50%. Find the original selling price of the article.

A) Rs. 1,820

B) Rs. 1,680

C) Rs. 1,890

D) Rs. 1,750

E) None of these

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Question 3: A shopkeeper is giving a discount of 20% but a customer bargains and the shopkeeper sells the article at Rs. 250 less than he was supposed to sell. If profit percentage of the shopkeeper is decreased from 60% to 20%, then find the cost price price of the article.  

A) Rs. 500

B) Rs. 625

C) Rs. 750

D) Rs. 900

E) None of these

Question 4: A shopkeeper marked an article at 40% above cost price, and sold it after 2 consecutive discounts of 10% and 20%. In this transaction he made a profit of Rs. 416. Find the profit earned by the shopkeeper, if he had sold the article at a profit of 12%.

A) Rs. 6,240

B) Rs. 6,120

C) Rs. 6,480

D) Rs. 6,360

E) None of these

Question 5: An article was sold at 20% loss after giving (100/3)% discount. If the article would have been sold at the marked price, then there would have been a profit of Rs. 100. Find the cost price of the article.

A) Rs. 500

B) Rs. 400

C) Rs. 800

D) Rs. 600

E) None of these

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Question 6: A person sells two types of cooler type A and type B. Type A cooler is sold at 25% profit and type B cooler is sold at 10% loss and the total profit earned by them is Rs. 600. Find the ratio of cost price of type A cooler to type B cooler, if the total cost price of both the coolers is Rs. 22000.

A) 5:6

B) 2:3

C) 4:7

D) 8:9

E) None of these

Question 7: The total cost price of a suit and a saree is Rs. 14000. Suit is sold at 20% profit and saree is sold at 15% loss and the marked price of the suit is 40% more than its cost price. Find the marked price of the suit if the overall profit is 5%.

A) Rs. 10500

B) Rs. 11200

C) Rs. 12600

D) Rs. 9600

E) None of these

Question 8: A shopkeeper marked an article 60% above its cost price and if he decreases discount percentage from 25% to 20% then his profit increases by Rs. 200. Find the profit earned by him if he gives a discount of 30%.

A) Rs. 200

B) Rs. 400

C) Rs. 350

D) Rs. 300

E) None of these

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Question 9: A man bought a laptop at two successive discounts of 10% each. If the market price of the laptop is Rs. 32000, then find the selling price of the laptop.

A) Rs. 24300

B) Rs. 28350

C) Rs. 27540

D) Rs. 25920

E) None of these

Question 10: A shopkeeper marked an article 40% above its cost price and then offered a discount of 25% on the marked price. If the selling price of 5 articles is Rs. 13125, then find the cost price of each article.

A) Rs. 2500

B) Rs. 1800

C) Rs. 3200

D) Rs. 1600

E) Rs. 2000

प्रश्न 1: एक दुकानदार ने अपने उत्पादों को क्रय मूल्य के ऊपर x% पर अंकित किया और अंकित मूल्य पर ‘x – 10’% की छूट के बाद बेच दिया। इस लेन-देन में उसने 4% का लाभ कमाया। x का मान ज्ञात करें ?

A) 25

B) 30

C) 35

D) 40

E) इनमें से कोई नहीं

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प्रश्न 2: एक दुकानदार एक वस्तु को खरीदता है और उसे 40% लाभ पर बेचता है|यदि उसने वस्तु को Rs 100 कम में ख़रीदा होता और Rs 20 कम में बेचा होता तो वह 50% लाभ अर्जित करता|वस्तु का वास्तविक विक्रय मूल्य ज्ञात करें|

A) Rs. 1,820

B) Rs. 1,680

C) Rs. 1,890

D) Rs. 1,750

E) इनमें से कोई नहीं

प्रश्न 3: एक दुकानदार 20% की छूट दे रहा है, लेकिन एक ग्राहक तालमोल करता है और दुकानदार वस्तु को उस मूल्य से Rs. 250 कम में बेचता है जिसपर उसे वस्तु को बेचना था। यदि दुकानदार का लाभ प्रतिशत 60% से घटकर 20% हो जाए तो वस्तु का क्रय मूल्य ज्ञात करें ?

A) Rs. 500

B) Rs. 625

C) Rs. 750

D) Rs. 900

E) इनमें से कोई नहीं

प्रश्न 4: एक दुकानदार ने क्रय मूल्य से 40% अधिक पर एक वस्तु को अंकित किया, और 10% और 20% की दो लगातार छूट के बाद इसे बेच दिया। इस लेनदेन में उसने Rs. 416 का लाभ कमाया। दुकानदार द्वारा अर्जित लाभ ज्ञात करें यदि उसने 12% के लाभ पर वस्तु को बेचा था।

A) Rs. 6,240

B) Rs. 6,120

C) Rs. 6,480

D) Rs. 6,360

E) इनमें से कोई नहीं

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प्रश्न 5: (100/3)% की छूट देने के बाद 20% हानि पर एक वस्तु को बेचा गया। यदि वस्तु को अंकित मूल्य पर बेचा जाता, तो Rs. 100 का लाभ हुआ होता | वस्तु का क्रय मूल्य ज्ञात कीजिए।

A) Rs. 500

B) Rs. 400

C) Rs. 800

D) Rs. 600

E) इनमें से कोई नहीं

प्रश्न 6: एक व्यक्ति दो type के कूलर अर्थात type A और type B बेचता है| Type A कूलर 25% लाभ पर बेचा जाता है और type B कूलर 10% हानि पर बेचा जाता है और उनके द्वारा अर्जित कुल लाभ Rs. 600 है| Type A कूलर और type B कूलर के क्रय मूल्य का अनुपात ज्ञात करें, यदि दोनों कूलर का कुल क्रय मूल्य Rs. 22000 है|

A) 5:6

B) 2:3

C) 4:7

D) 8:9

E) इनमें से कोई नहीं

प्रश्न 7: एक सूट और एक साड़ी की कुल क्रय मूल्य Rs. 14000 है| सूट को 20% लाभ पर बेचा जाता है और साड़ी को 15% हानि पर बेचा जाता है और सूट का अंकित मूल्य उसके क्रय मूल्य से 40% अधिक है। सूट का अंकित मूल्य ज्ञात करें यदि कुल लाभ 5% है।

A) Rs. 10500

B) Rs. 11200

C) Rs. 12600

D) Rs. 9600

E) इनमें से कोई नहीं

प्रश्न 8: एक दुकानदार ने अपनी वस्तु को क्रय मूल्य से 60% ऊपर एक वस्तु को अंकित किया और यदि वह 25% से 20% तक छूट प्रतिशत घटाता है तो उसका लाभ Rs. 200 से बढ़ जाता है।उसके द्वारा अर्जित लाभ ज्ञात करें यदि वह 30% की छूट देता है।

A) Rs. 200

B) Rs. 400

C) Rs. 350

D) Rs. 300

E) इनमें से कोई नहीं

प्रश्न 9: एक आदमी ने 10% की दो क्रमिक छूट पर एक लैपटॉप खरीदा। यदि लैपटॉप का बाजार मूल्य Rs. 32000 है, तो लैपटॉप का विक्रय मूल्य ज्ञात करें?

A) Rs. 24300

B) Rs. 28350

C) Rs. 27540

D) Rs. 25920

E) इनमें से कोई नहीं

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प्रश्न 10: एक दुकानदार ने एक वस्तु को उसके क्रय मूल्य से 40% अधिक पर अंकित किया और फिर अंकित मूल्य पर 25% की छूट प्रदान की।यदि 5 वस्तुओं का विक्रय मूल्य Rs. 13125 है, फिर प्रत्येक वस्तु का क्रय मूल्य ज्ञात करें?

A) Rs. 2500

B) Rs. 1800

C) Rs. 3200

D) Rs. 1600

E) Rs. 2000

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ANSWER KEYS and SOLUTIONS:

1) – B)	2) – A)	3) – B)	4) – A)	5) – A)	6) – C)
7) – B)	8) – D)	9) – D)	10) – A)

Solution 1: B)

Let the cost price of the article = Rs. 100

So the marked price of the article = 100 × (100 + x)/100 = Rs. 100 + x

Selling price of the article = (100 + x) × (100 – x + 10)/100 = 1.04 × 100

(100 + x)(110 – x) = 10400

11000 + 10x – x² = 10400

x² – 10x – 600 = 0

x² – 30x + 20x – 600 = 0

x(x – 30) + 20(x – 30) = 0

(x – 30)(x + 20) = 0

x = 30, -20

x can’t be negative. So the value of x = 30

Hence, option b.

Solution 2: A)

Let the original cost price of the article = Rs. x

Original selling price of the article = Rs. 1.40x

Reduced cost price of the article = Rs. ‘x – 100’

Reduced selling price of the article = 1.50 × (x – 100) = 1.40x – 20

1.5x – 150 = 1.4x – 20

0.1x = 130, x = 1300

So the original selling price of the article = 1.4 × 1300 = Rs. 1,820

Hence, option a.

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Solution 3: B)

Let the cost price of the article be Rs. ‘x’.

According to question,

1.6x – 1.2x = 250

0.4x = 250

x = 625

Therefore, cost price of the article = Rs. 625

Hence, option b.

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Solution 4: A)

Let the CP of the articlebe Rs. ‘x’.

So, the marked price of the article = 1.40 × x = Rs. 1.4x

Selling price of the article = 0.90 × 0.80 × 1.4x = Rs. 1.008x

Profit = 1.008x – x = 416

0.008x = 416, x = 52,000

Profit earned by shopkeeper at 12% = 52000 × 0.12 = Rs. 6,240

Hence, option a.

Solution 5: A)

Let, marked price be Rs. ‘x’

So, selling price = (100 – 100/3)% of x = Rs. (2x/3)

Cost price = 2x/(3 × 0.8) = Rs. 5x/6

Therefore, (5x/6) + 100 = x

x/6 = 100, x = 600

Cost price of article = 5x/6 = Rs. 500

Hence, option a.

Solution 6: C)

Let the cost price of type A cooler = Rs. x

Cost price of type B cooler = Rs. (22000 – x)

According to the question,

x × 25% – (22000 – x) × 10% = 600

0.25x – 2200 + 0.10x = 600

0.35x = 2800

x = 8000

Cost price of type A cooler = Rs. 8000

Cost price of type B cooler = Rs. 14000

Required ratio = 8000:14000 = 4:7

Hence, option c.

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Solution 7: B)

Let the cost price of the suit = Rs. x

Cost price of the saree = Rs. (14000 – x)

According to the question,

x × 20% – (14000 – x) × 15% = 14000 × 5%

0.20x – 2100 + 0.15x = 700

0.35x = 2800

x = 8000

Cost price of suit = Rs. 8000

Marked price of suit = 8000 × 140% = Rs. 11200

Hence, option b.

Solution 8: D)

Let cost price of the article is Rs. 100x

Marked price of the article = 1.6 × 100x = Rs. 160x

According to question;

160x × (0.80 – 0.75) = 200

160x = 4000

x = 25

Desired profit = 4000 × 0.70 – 2500 = Rs. 300

Hence, option d.

Solution 9: D)

Given, marked price of the laptop = Rs. 32000

Overall discount = 10 + 10 – [(10 × 10) ÷ 100] = 19%

So, selling price of laptop = 0.81 × 32000 = Rs. 25920

Hence, option d.

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Solution 10: A)

Let the cost price of the article be Rs. ‘x’

Therefore, selling price of the article = 1.4 × 0.75x = Rs. 1.05x

According to the question,

1.05x = 13125/5

Or, x = 2625/1.05 = Rs. 2500

Hence, option a.

Here the blog on New Pattern Profit & Loss Questions along with Detailed Solutions comes to an end. Practice and prepare well.