101. Sathish bought a second hand bike and spent Rs. 3000 on its repair and spare parts. Then he sold it to Rajesh at a profit of 15 % and then Rajesh sold it to Suresh at a loss of 10 %. Suresh finally sold it for Rs. 22770 at a profit of 10%. How much amount did Sathish initially pay for the bike?

सतीश ने सेकंड हैंड बाइक खरीदी और इसकी मरम्मत और स्पेयर पार्ट्स पर 3000 रुपये खर्च किए। फिर उन्होंने इसे 15% के लाभ पर राजेश को बेच दिया और फिर राजेश ने इसे 10% की हानि पर सुरेश को बेच दिया। सुरेश ने आखिरकार इसे 10% के लाभ पर 22770 रुपये में बेच दिया। सतीश ने शुरू में बाइक के लिए कितनी राशि का भुगतान किया?

A. Rs. 21000
B. Rs. 17000
C. Rs. 23000
D. Rs. 19000
E. None of these

Option “B” is correct.

Let Sathish pay for the bike be Rs. x,

(x + 3000)*(115/100)*(90/100)*(110/100) = 22770

(x + 3000) = (22770*100*100*100)/(115*90*110)

(x + 3000) = 20000

x = 17000

The initial amount paid by Sathish = Rs. 17000
102. Rahul buys Bike and Cycle for Rs.40000. He sells Bike at the profit of 20% and Cycle at a loss of 10%. If in overall transaction, he earned neither loss nor profit, then what is the approximate cost price of cycle?

राहुल 40000 रुपये की बाइक और साइकिल खरीदता है। वह बाइक को 20% के लाभ पर और साइकिल को 10% की हानि पर बेचता है। यदि दोनों लेन-देन से उसे न तो हानि हुई और न ही लाभ, तो साइकिल का अनुमानित क्रय मूल्य क्या है?

A. 24444
B. 25555
C. 26666
D. 27777
E. 23333

Option “C” is correct.

Cost price of Bike and cycle = Rs. 40000

SP of Bike=B * 120/100=6B/5

SP of Cycle=C * 90/100=9C/10

6B/5 + 9C/10=40000

12B + 9C=400000

12 * (40000 – C) + 9C=400000

480000 – 12C + 9C=400000

3C=80000

C=Rs. 26666
103. The shopkeeper sold the article A at 20% loss and the cost price of the article A is Rs.4500. With that amount, he bought the article B and sold it at the profit of 30%. What is the overall profit or loss in the whole transaction?

दुकानदार ने वस्तु A को 20% हानि पर बेचा और वस्तु A का लागत मूल्य 4500 रुपये है। उसी राशि से, उसने वस्तु B को खरीदा और इसे 30% के लाभ पर बेचा। पूरे लेनदेन में कुल लाभ या हानि क्या है?

A. Rs.120
B. Rs.150
C. Rs.180
D. Rs.200
E. None of these

Option “C” is correct.

CP of article A=Rs. 4500

SP of article A=80/100 * 4500=Rs.3600

CP of article B=Rs. 3600

SP of article B=3600 * 130/100=Rs.4680

Total CP=4500 + 3600=Rs.8100

Total SP=3600 + 4680=Rs. 8280

Profit=8280 – 8100=Rs.180
104. The ratio of the cost price of mobile to laptop is 5:9 and the ratio of the cost price of laptop to computer is 3:2. If the computer sells at the profit of 20% and selling price of the computer is Rs.14400, then what is the difference between the cost price of mobile and laptop?

मोबाइल से लैपटॉप के क्रय मूल्य का अनुपात 5 : 9 है तथा लैपटॉप से कंप्यूटर के क्रय मूल्य का अनुपात 3 : 2 है। यदि कंप्यूटर 20% के लाभ पर बेचा जाता है और कंप्यूटर का विक्रय मूल्य 14400 रुपये है, तो मोबाइल और लैपटॉप के क्रय मूल्य के बीच क्या अंतर है?

A. Rs.5000
B. Rs.6000
C. Rs.7000
D. Rs.8000
E. None of these

Option “D” is correct.

Ratio of the cost price of mobile, laptop and computer = 5: 9: 6

Cost price of computer = 100/120 * 14400 = 12000

Cost price of mobile = 5/6 * 12000 = 10000

Cost price of laptop = 9/6 * 12000 = 18000

Difference = 18000 – 10000 = 8000
105. A shopkeeper bought two articles A and B such that he had a Profit of 15% and 20% on selling article A and B respectively. Selling price of articles A and B is Rs.230 and Rs.420 respectively. At what price must that items be sold together in order to gain 30%?

एक दुकानदार ने दो वस्तुएँ A और B इस प्रकार खरीदी कि वस्तु A और B को बेचने पर उसे क्रमशः 15% और 20% का लाभ हुआ। वस्तु A और B का विक्रय मूल्य क्रमशः 230 रुपये और 420 रुपये है। 30% का लाभ प्राप्त करने के लिए वस्तुओं को किस कीमत पर एक साथ बेचा जाना चाहिए?

A. Rs.686
B. Rs.695
C. Rs.700
D. Rs.740
E. None of these

Option “E” is correct.

SP of A = 230

Profit% on A = 15%

CP of A = 230 * 100/115 = 200

SP of B = 420

Profit% on B = 20%

CP of B = 420 * 100/120 = 350

Total CP = 200 + 350 = 550

Now, to earn a total profit of 30% on both item together, selling price = 130% of 550 = Rs.715
106. What is the value of y, if an article is sold after allowing two successive discounts of y% and 5% and percent profit earned after selling the article is y%. Cost price and Marked price of the article is Rs.2850 and Rs.5000 Respectively.

y का मान क्या होगा यदि किसी वस्तु को y% और 5% के दो क्रमागत छूट पर बेचा जाता है और वस्तु को बेचने के बाद अर्जित किया गया लाभ प्रतिशत y% है? वस्तु का लागत मूल्य और अंकित मूल्य क्रमशः 2850 रूपये और 5000 रूपये है।

A. 15
B. 20
C. 25
D. 30
E. 35

Option “C” is correct.

CP = 2850 Mp = 5000 Profit = y% Successive discounts = y%, 5%

((100 – y)/100) * ((100 -5)/100) * 5000 = ((100+y)/100) * 2850

[(100 – y)/100] * 95/100 * 5000 = (100 + y)/100 * 2850

(100 – y) = (100+y) * 3/5

500 – 5y = 300 + 3y

8y = 200

y = 25
107. The shopkeeper marked 20% above the cost price of the article and also he gives 15% of the discount to his favourite customer. The customer sold that article for his friend at the amount of Rs.5896. If the cost price of the article is Rs.4800, then what is the profit gained by the customer?

दुकानदार ने वस्तु की लागत मूल्य से 20% ऊपर अंकित किया और साथ ही वह अपने पसंदीदा ग्राहक को 15% की छूट देता है। ग्राहक ने उस वस्तु को 5896 रुपये की राशि पर अपने मित्र को बेच दिया। यदि वस्तु की लागत मूल्य 4800 रुपये है, तो ग्राहक द्वारा प्राप्त लाभ क्या है?

A. Rs.800
B. Rs.2000
C. Rs.1000
D. Rs.1500
E. Cannot be determine

Option “C” is correct.

MP of the article=4800 * 120/100=Rs.5760

SP of the article =5760 * 85/100=Rs.4896

CP of article for Customer=Rs.4896

SP of the customer=Rs.5896

Profit=5896 – 4896= 1000
108. By selling a laptop for Rs.12000, a shopkeeper gains 20%. If the profit is reduced to 15%, then find the selling price of laptop?

12000 रुपये में लैपटॉप बेचकर, एक दुकानदार को 20% लाभ होता है। यदि लाभ 15% तक कम हो जाता है, तो लैपटॉप का विक्रय मूल्य ज्ञात करें?

A. Rs.11500
B. Rs.13480
C. Rs.14560
D. Rs.23490
E. None of these

Option “A” is correct.

CP = SP * 100/(100 + P%)

= 12000 * 100/(100 + 20)

= Rs.10000

SP of laptop for 15% profit = CP * (100 + P%)/100

= 10000 * (100 + 15)/100

= Rs.11500
109. Praveen is a computer shop owner. He purchases the components of a desktop for Rs 6200 and then he spends further Rs 2400 on labour charge to assemble the desktop. If he sells 18 desktops for Rs 175000, then what is the approximate profit percentage?

प्रवीण कंप्यूटर दुकान का मालिक हैं। वह डेस्कटॉप के घटकों को 6200 रुपये में खरीदता है और फिर सिस्टम को बनाने के लिए श्रम शुल्क पर 2400 रुपये खर्च करता है। यदि वह 175000 रुपये में 18 डेस्कटॉप बेचता है तो इस मामले में अनुमानित लाभ प्रतिशत क्या है?

A. 13%
B. 11.5%
C. 12.2%
D. 14.35%
E. 8.9%

Option “A” is correct.

Total cost of one desktop = Rs (6200 + 2400) = Rs 8600

Selling price of one desktop = Rs (175000/18) = Rs 9722.2

Profit% = [(9722.2-8600)/8600] * 100 = 13% (Approx)
110. A man sold an article for Rs. 7600 and incurred a loss. Had he sold the article for Rs.8350, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit?

एक आदमी ने 7600 रुपये में एक वस्तु बेचीं और उसे घाटा हुआ। अगर उसने वस्तु को 8350 रुपये में बेचा होता, तो उसका लाभ उस नुकसान की आधी राशि के बराबर होता, जो उसे हुई थी। 20% लाभ अर्जित करने के लिए उसे किस मूल्य पर वस्तु बेचना चाहिए?

A. Rs. 8560
B. Rs. 7680
C. Rs. 11240
D. Rs. 9720
E. None of these

Option “D” is correct.

Loss = C.P – 7600

Profit = 8350 – CP

Profit = (1/2)*Loss

8350 – C.P = (1/2) [C.P – 7600]

16700 – 2C.P = C.P – 7600

3C.P = 16700 + 7600

3C.P = 24300

C.P = Rs. 8100

Selling price = 8100*(120/100) = Rs. 9720

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