171. A Notebook is marked up by 20% above cost price and sold after two successive discount of Rs. 20 and 30%,respectively ,for a loss of Rs.30 .What is the selling price of the article if it must be sold for a profit of 25%.

एक नोटबुक को क्रय मूल्य से 20% अधिक मूल्य पर अंकित किया जाता है और क्रमशः 20 रुपये और 30% की दो क्रमिक छूट के बाद 30 रुपये की हानि पर बेचा जाता है। वस्तु का विक्रय मूल्य क्या है यदि इसे 25% के लाभ पर बेचा जाता है?

A. Rs.160
B. Rs.130
C. Rs.120
D. Rs.125
E. None of these

Option “D” is correct.

Let the cost price of the Notebook =Rs.100x

According to the question,

{(100x*1.20)-20}*0.7=100x-30

(120x-20)*0.7=100x-30

84x-14=100x-30

X=1

So,the cost price of the note book is Rs.100

Selling price when it sold at 25% profit=100*125/100=Rs.125
172. A shopkeeper gives two successive discounts of 10% and 20% on the marked price of shirt. If he received the profit is 1/10 of the total discount, then find the approximate profit percentage?

एक दुकानदार कमीज़ के चिह्नित मूल्य पर 10% और 20% की दो क्रमिक छूटों को देता है। यदि उसने वह लाभ प्राप्त किया, जो कुल छूट का 1/10 वां भाग है, फिर अनुमानित लाभ प्रतिशत को ज्ञात कीजिए?

A. 2%
B. 4%
C. 6%
D. 8%
E. 10%

Option “B” is correct.

MP of shirt = x

SP of shirt = x * 90/100 * 80/100 = 0.72x

Discount = x – 0.72x = 0.28x

Profit = 0.28x/10 = 0.028x

CP of shirt = 0.72x – 0.028x = 0.692x

Required percentage = 0.028x/0.692x * 100

= 4%
173. A company increase the marked price of a product by 68% and allow two successive discounts of 16 (2/3)% and 25% on new marked price and make a profit of 25%. If the company would allow only one discount of 16 (2/3)% on new marked price, he made a profit of Rs. 2520. Then find cost price of the product?

एक कंपनी एक उत्पाद के अंकित मूल्य में 68% की वृद्धि करती है और नए अंकित मूल्य पर 16 (2/3)% और 25% की दो क्रमागत छूट देती है और 25% का लाभ कमाती है। यदि कंपनी नए अंकित मूल्य पर 16 (2/3)% की केवल एक छूट देती है, तो उसे 2520 रुपये का लाभ होता है। तो उत्पाद का क्रय मूल्य ज्ञात करें?

A. Rs. 4450
B. Rs. 2940
C. Rs. 5410
D. Rs. 3780
E. None of these

Option “D” is correct.

Let the original marked price of product = Rs. 100x

Then, new marked price of product = Rs. 168x

Selling price of product = 168x × (5/6) × (3/4) => Rs. 105x

Let the cost price be 4y.

Selling price = 4y x 125% = 5y

Cost price of product = 105x × (4y/5y) =>Rs. 84x

Second selling price of product = 168x ×(5/6) =>Rs. 140x

Then, according to the question,

140x – 84x = 2520

56x = 2520

x = 45

Thus, the cost price of product = (84 × 45) => Rs. 3780

Hence, the required answer = Rs. 3780
174. A dealer marked the price of an article 20 % above the cost price and allowed two successive discounts of 10 % and 15 % respectively to a particular customer. At what price did he sell the item to the customer, if he incurred a loss of Rs. 41?

एक डीलर ने एक वस्तु की कीमत लागत मूल्य से 20% अधिक अंकित किया और एक विशेष ग्राहक को क्रमशः 10% और 15% के दो क्रमिक छूट की अनुमति दी। यदि उसने 41 रुपये की हानि उठाई, तो उसने ग्राहक को किस कीमत पर वस्तु बेची?

A. Rs. 534
B. Rs. 427
C. Rs. 475
D. Rs. 459
E. None of these

Option “D” is correct.

Let the cost price be x,

x – x * (120/100) * (90/100) * (85/100) = 41

x – (459x/500) = 41

41x/500 = 41

x = 500

The selling price = 500 – 41 = Rs. 459
175. A man bought a cycle for Rs.x and marked up the price by 20% and he gives two successive discounts of 20% and 25% and he obtained a loss of Rs.420. Find the cost price of the cycle.

एक आदमी ने x रुपये में एक साइकिल खरीदी और उसकी कीमत 20% बढ़ा दी और वह 20% और 25% की दो क्रमिक छूट देता है और उसे 420 रुपये की हानि होती है। साइकिल का क्रय मूल्य ज्ञात कीजिए।

A. Rs.1200
B. Rs.1500
C. Rs.2000
D. Rs.1800
E. None of these

Option “B” is correct.

Selling price of the cycle = x – 420

x – 420 = x * 120/100 * 80/100 * 75/100

x – 420 = x * 6/5 * 4/5 * 3/4

x – 420 = 18x/25

x – 18x/25 = 420

(25x – 18x)/25 = 420

7x/25 = 420

x = Rs.1500
176. A shopkeeper offers two successive discounts of 20% and 15% respectively for the laptop while he gets 20% profit. If the selling price of the laptop is Rs.34000, what is the discount amount?

एक दुकानदार लैपटॉप के लिए क्रमशः 20% और 15% की दो रियायती छूट प्रदान करता है जबकि उसे 20% लाभ मिलता है। यदि लैपटॉप का विक्रय मूल्य 34000 रु है, तो छूट राशि क्या है?

A. Rs.12000
B. Rs.14000
C. Rs.16000
D. Rs.18000
E. None of these

Option “C” is correct.

SP = 34000

MP * 80/100 * 85/100 = 34000

MP = 50000

Discount = 50000 – 34000 = 16000
177. A shopkeeper marks the price of the mobile 50% above the cost price and he allows the two successive discounts 20% and 15% respectively. What is the percentage of the profit earned by the shopkeeper?

एक दुकानदार लागत मूल्य से 50% अधिक मोबाइल का मूल्य अंकित करता है और वह क्रमागत 20% और 15% की दो छूट देता है। दुकानदार द्वारा अर्जित लाभ का प्रतिशत क्या है?

A. 1%
B. 2%
C. 4%
D. 3%
E. None of these

Option “B” is correct.

CP = x

MP = x * 150/100 = 3x/2

SP = 3x/2 * 80/100 * 85/100

= 51x/50

Required percentage = ([51x/50] – x)/x * 100

= 1/50 * 100 = 2%
178. A shopkeeper allows the two successive discounts on the article 20% and 10% respectively and then he earned the profit of Rs.1200. If the cost price of the article is Rs.6000, find the marked price of the article?

एक दुकानदार वस्तु पर दो क्रमागत छूट क्रमशः 20% और 10% देता है और फिर उसने रु.1200 का लाभ अर्जित किया। यदि वस्तु की लागत मूल्य रु .6000 है, तो वस्तु का अंकित मूल्य ज्ञात कीजिए?

A. Rs.8000
B. Rs.10000
C. Rs.12000
D. Rs.9000
E. None of these

Option “B” is correct.

SP = 6000 + 1200 = 7200

MP * 80/100 * 90/100 = 7200

MP = 10000
179. Anmol sold an article marked at 20000 after giving four successive discounts of 10%, 15%, 20% and 25%. Instead if he sold it at 30% discount, find his net gain or loss in the Selling price.

अनमोल ने 10%, 15%, 20% और 25% की लगातार चार छूट देने के बाद 20000 पर अंकित एक वस्तु बेची। इसके बजाय यदि उसने इसे 30% छूट पर बेचा, तो विक्रय मूल्य में उसका शुद्ध लाभ या हानि ज्ञात करें।

A. 4820 loss
B. 2410 gain
C. 4820 gain
D. 2410 loss
E. None of these

Option “C” is correct.

1st case: SP = 20000 * 90/100 * 85/100 *80/100 * 75/100 = 9180

2nd case = SP = 20000* 70/100 = 14000

Therefore, he would have gained = 4820
180. A dealer marked the price of an article is 20 % above the cost price and allowed two successive discounts of 10 % and 15 % respectively to a particular customer. At what price did he sell the item to the customer, if he incurred a loss of Rs. 41?

एक डीलर ने एक वस्तु की कीमत, लागत मूल्य से 20% अधिक अंकित किया और एक विशेष ग्राहक को क्रमशः 10% और 15% के दो क्रमिक छूट की अनुमति दी। यदि उसे 41 रुपये की हानि हुई, तो उसने ग्राहक को किस कीमत पर वस्तु बेची?

A. Rs. 534
B. Rs. 427
C. Rs. 475
D. Rs. 459
E. None of these

Option “D” is correct.

Let the cost price be x,

x – x * (120/100) * (90/100) * (85/100) = 41

x – (459x/500) = 41

41x/500 = 41

x = 500

The selling price = 500 – 41 = Rs. 459

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