121. A shopkeeper bought two articles at same price. He sold one of the articles at the profit of 40 %. If on selling the second article, he incurred a loss, which was one-fourth of profit earned on selling the first article, then find the overall profit %?

एक दुकानदार ने एक ही कीमत पर दो वस्तुएं खरीदी। उन्होंने 40% के लाभ पर एक वस्तु बेची। यदि दूसरी वस्तु को बेचने पर, उसे जो नुकसान हुआ, वो पहली वस्तु को बेचने पर अर्जित लाभ का एक-चौथाई था, तो समग्र लाभ% ज्ञात कीजिये?

A. 10 %
B. 25 %
C. 15 %
D. 20 %
E. None of these

Option “C” is correct.

Let the cost price be Rs. 100,

CP1 = 100, CP2 = 100, Total cost price = 200

Total selling price = 100 * (140/100) + [100 – 40 * (1/4)] = 230

Profit % = (30/200) * 100 = 15 %
122. The initial cost price of the mobile is Rs.60x and the selling price of the mobile is Rs.y. If shopkeeper decreases the cost price by 20% and increases the selling price by 40%, what is ratio of the initial profit percentage to new profit percentage?

मोबाइल की प्रारंभिक लागत मूल्य 60x रुपये है और मोबाइल की बिक्री मूल्य y रुपये है। यदि दुकानदार लागत मूल्य में 20% की कमी करता है और विक्रय मूल्य में 40% की वृद्धि करता है, तो प्रारंभिक लाभ प्रतिशत और नए लाभ प्रतिशत का अनुपात क्या है?

A. 3:4
B. 1:7
C. 5:9
D. 4:9
E. Cannot be determined

Option “E” is correct.

CP = 60x

SP = y

Profit percentage = [(y – 60x) / 60x] * 100 = (5/3x) * (y – 60x)

New CP = 60x/100 * 80 = 48x

New SP = y * 140/100 = 7y/5

New Profit percentage = [(7y/5 – 48x) / (48x)] * 100

Required ratio = [5/3x * (y – 60x)]:[[(7y/5 – 48x) / (48x)] * 100]

We cannot find the answer.
123. A Doll is marked 20 % above the cost price. If the selling price of the Doll is increased by 20 %, then the profit is increased by Rs. 110. Find the original selling price of the Doll, if the marked price of the Doll is Rs. 600?

एक गुड़िया को लागत मूल्य से 20% ऊपर अंकित किया गया है। यदि गुड़िया के विक्रय मूल्य में 20% की वृद्धि हुई है, तो लाभ में 110 रुपये की वृद्धि हुई है। गुड़िया के वास्तविक विक्रय मूल्य को ज्ञात कीजिये, यदि गुड़िया का अंकित मूल्य 600 रुपये है?

A. Rs. 580
B. Rs. 560
C. Rs. 540
D. Rs. 550
E. None of these

Option “D” is correct.

Marked price = Rs. 600

Cost price = 600 * (100/120) = Rs. 500

Given,

(120/100) * SP – 500 = Profit + 110

(120/100) * SP – 500 = SP – CP + 110

(120/100) * SP – 500 = SP – 500 + 110

(120/100) * SP = SP + 110

(20/100) * SP = 110

SP = (110 * 100) / 20 = Rs. 550
124. Ram sold a book to Yuva at the profit of 20%, Yuva sold that book to Jeeva at the loss of 25%, Jeeva sold it to Aari at the profit of 40%, Aari sold that to Siva at the loss of 20%. If Siva pays Rs. 504, find the difference between the cost prices of Yuva and Aari.

राम ने 20% के लाभ पर युवा को एक पुस्तक बेची, युवा ने वह पुस्तक जीवा को 25% की हानि पर बेची, जीवा ने उसे 40% के लाभ पर आरि को बेची, आरि ने 20% की हानि पर शिव को बेची। यदि शिव 504 रूपये का भुगतान करता है, युवा और आरि की लागत मूल्यों के बीच का अंतर ज्ञात करें।

A. Rs30
B. Rs50
C. Rs40
D. Rs20
E. None of these

Option “D” is correct.

CP for Yuva = 504 * 100/80 * 100/140 * 100/75 = Rs.600

CP for Aari = 504 * 100/80 = Rs.630

Required difference = 630 – 600 =Rs. 30
125. The Ratio of cost price of an article to marked price of the article is x: 5. If the selling price of the article is Rs.4400 and the shopkeeper also offers 20% of discount on marked price of the article, then the marked price of an article is what percent more than that of cost price, if the profit earned by the shopkeeper is 10%?

एक वस्तु के लागत मूल्य से वस्तु के अंकित मूल्य का अनुपात x: 5 है। यदि वस्तु का विक्रय मूल्य 4400 रुपये है और दुकानदार वस्तु के अंकित मूल्य पर 20% की छूट को भी प्रस्तावित करता है, फिर अंकित मूल्य, लागत मूल्य से कितना प्रतिशत अधिक है, यदि दुकानदार द्वारा अर्जित लाभ 10% हो?

A. 28.5%
B. 32.7%
C. 33.60%
D. 37.5%
E. None of these

Option “D” is correct.

MP = 5y

CP = xy

Selling price = 5y * 80/100 = 4400

y = 1100

MP = 5 * 1100 = 5500

4400 = C P * 110/100

CP = 4000

Required percentage = (5500 – 4000)/4000 * 100

= 37.5%
126. 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
127. Karan mixes 25 Kg of rice purchased at the rate of Rs.12/Kg, 20 Kg of rice purchased at the rate of Rs.10/Kg and 30 Kg of rice purchased at the rate of Rs.8/Kg. At what price per Kg should he sell the mixture to earn a profit of 20%?

करण 12 रुपये प्रति किलो के हिसाब से खरीदे गए 25 किलोग्राम चावल, 10 रुपये प्रति किलो के हिसाब से खरीदे गए 20 किलोग्राम चावल और 8 रुपये प्रति किलो के हिसाब से खरीदे गए 30 किलोग्राम चावल का मिश्रण करता है। 20% का लाभ कमाने के लिए उसे किस मूल्य / किलोग्राम पर मिश्रण बेचना चाहिए?

A. Rs.10.65
B. Rs.9.95
C. Rs.11.84
D. Rs.10.54
E. None of these

Option “C” is correct.

Total cost price = 25 x 12 + 20 x 10 + 30 x 8

= 300 + 200 + 240

= Rs.740

Total selling price = 740 x 120/100 = Rs.888

Selling price/Kg = 888/(25 + 20 + 30)

= 888/75

= Rs.11.84
128. A man sold a TV for Rs. 13000 and incurred a loss. Had he sold the TV for Rs. 21000, his gain would have been equal to three times of the amount of loss that he incurred. At what price should he sell the TV to gain 20 %?

एक आदमी ने 13000 रुपये में एक टीवी बेचा और हानि हुई। अगर उन्होंने टीवी को 21000 रुपये में बेचा होता, तो उनका लाभ उस हानि की तीन गुना राशि के बराबर होता, जो उन्हें हुआ था। 20% लाभ हासिल करने के लिए उसे किस कीमत पर टीवी बेचना चाहिए?

A. Rs. 18000
B. Rs. 20000
C. Rs. 24000
D. Rs. 26000
E. None of these

Option “A” is correct.

Loss = C.P – 13000

Profit = 21000 – CP

Profit = 3 * Loss

21000 – C.P = 3*[C.P – 13000]

21000 – C.P = 3C.P – 39000

4C.P = 60000

C.P = 15000

Selling price = 15000* (120/100) = Rs. 18000
129. Renu sold article A at a loss of 10%. She sold article B at a price which was 25% more than the selling price of article A. If she made a profit of 20% on article B, by what percent is the cost price of article A more than that of article B?

रेणु ने 10% की हानि पर वस्तु A बेचा। उसने वस्तु B को एक ऐसी कीमत पर बेचा, जो वस्तु A के विक्रय मूल्य से 25% अधिक था। यदि उसने वस्तु B पर 20% का लाभ कमाया है, तो वस्तु B की तुलना में वस्तु A की लागत मूल्य कितने प्रतिशत अधिक है?

A. 18/5%
B. 20/3%
C. 23/3%
D. 24/5%
E. None of these

Option “B” is correct.

Let the C.P of article A be Rs 100.

Loss = 10%

Therefore, selling price = Rs 90

Now, S.P for article B = 90 × 125/100 = Rs 225/2

S.P of article B = Rs 225/2, Profit = 20%

Therefore, C.P × 120/100 = 225/2 => C.P = 375/4

C.P of A is more than C.P of B by = 100 – 375/4 = 25/4

Required % = [(25/4)/ (375/4)] × 100 = 20/3%
130. The selling price a product of company A and B is Rs.25 and Rs.20 respectively and profit of them is 25% and 30% respectively. If the number of products sold by company A and B is 150 and 130 respectively, then find the total manufacturing cost of company A and company B.

कंपनी A और B के उत्पाद का विक्रय मूल्य क्रमशः रु.25 और रु.20 है और इनका लाभ क्रमशः 25% और 30% है। यदि कंपनी A और B द्वारा बेचे जाने वाले उत्पादों की संख्या क्रमशः 150 और 130 है, तो कंपनी A और कंपनी B की कुल विनिर्माण लागत ज्ञात कीजिये।

A. Rs.5000
B. Rs.6250
C. Rs.7850
D. Rs.4850
E. None of these

Option “A” is correct.

For Company A, Manufacturing cost = 25 * 100/125 * 150 = Rs.3000

For Company B, manufacturing cost = 20 * 100/130 * 130 = Rs.2000

Total cost = 3000 + 2000 = Rs.5000

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