151. 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
152. If the selling price of the mobile is Rs.6000 and the ratio of the marked to cost price of the mobile is 5: 3. If the shopkeeper offers a discount of 20% on the marked price of the mobile, then find the profit percentage of the mobile?

यदि मोबाइल का विक्रय मूल्य 6000 रु. है और मोबाइल के अंकित से लागत मूल्य का अनुपात 5:3 है। यदि दुकानदार मोबाइल के अंकित मूल्य पर 20% की छूट प्रदान करता है, तो मोबाइल का लाभ प्रतिशत ज्ञात कीजिए?

A. 28.28%
B. 44.44%
C. 33.33%
D. 48.48%
E. 52.52%

Option “C” is correct.

SP of mobile = Rs.6000

MP of mobile = 5x

CP of mobile = 3x

5x * 80/100 = 6000

x = 1500

CP of mobile = 3 * 1500 = Rs.4500

Profit percentage = (6000 – 4500)/4500 * 100 = 33.33%
153. Rajesh bought 23kg of rice at 30 rupees per kg and 32 kg of rice at 35 rupees per kg. Now he sold the entire rice at 42 rupees per kg. Find the amount of loss/profit made by Rajesh.

राजेश ने 30 रुपये/किलो पर 23 किलो और 35 रुपये/किलो में 32 किलो चावल खरीदा। अब उसने पूरे चावल 42 रुपये प्रति किलो के हिसाब से बेच दिया। राजेश द्वारा किए गए हानि/लाभ की राशि ज्ञात कीजिए।

A. Rs. 320 profit
B. Rs. 410 profit
C. Rs. 350 profit
D. Rs. 500 profit
E. None of these

Option “D” is correct.

Total cost price = 23*30 + 32*35 = 690 + 1120 = 1810

Total selling price = 55*42 = 2310

Profit = 2310 – 1810 = Rs. 500
154. Ratio of the cost price to marked price of the mobile is 5:6. The shopkeeper offers a discount is 20%. IF the sum of the marked price and cost price of the mobile is Ra.4400, then what is the profit or loss earned by the shopkeeper?

मोबाइल के लागत मूल्य से अंकित मूल्य का अनुपात 5: 6 है। दुकानदार 20% की एक छूट को प्रस्तावित करता है। यदि मोबाइल के अंकित मूल्य और लागत मूल्य का योग 4400 रु. है, तो दुकानदार द्वारा अर्जित लाभ या हानि क्या है?

A. Rs.40 profit
B. Rs.80 loss
C. Rs.40 loss
D. Rs.80 profit
E. None of these

Option “B” is correct.

MP = 6x

CP = 5x

11x = 4400

x = 400

CP = 400 * 5 = Rs.2000

MP = 6 * 400 = Rs.2400

SP = 2400 * 80/100 = 1920

Loss = 2000 – 1920 = Rs.80
155. A man sells a lollipop for Rs. 5. He increases his sale by 20% and decreases price by 10%. Calculate the profit / loss % now the man is making, if he sold lollipops of Rs. 75 earlier.

एक आदमी एक लॉलीपॉप 5 रुपये में बेचता है। वह अपनी बिक्री में 20% की वृद्धि करता है और मूल्य में 10% की कमी करता है। लाभ / हानि% की गणना करें यदि वह 75 रुपये के लॉलीपॉप पहले बेचता हैं।

A. 10% Profit
B. 9% Profit
C. 8% Profit
D. 12% Profit
E. None of these

Option “C” is correct.

He sells lollipop = 75/5 = 15 lollipops

Now his sales is increased by 20% i.e. now he sales 18 lollipops

Price decreases by 10% ie new price = 4.5 rs

Early income = 5 * 15 = 75 Rs

New income = 4.5 * 18 = 81 Rs

Profit % = [(81 – 75)/75] * 100 = 8%
156. 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%
157. 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
158. 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%
159. Reeta sold an article at a discount of __________% on marked price, yet she earned a profit of 20% on its cost price. Marked price of the article is Rs.400. Cost price of the article is Rs.__________.

रीता ने एक वस्तु को चिह्नित मूल्य पर __________% की छूट पर बेचा, फिर भी लागत मूल्य पर 20% का लाभ अर्जित किया। वस्तु का चिह्नित मूल्य 400 रु. है। वस्तु का लागत मूल्य __________ रु.
है।

Which of the following options satisfy the given condition?
निम्नलिखित में से कौन सा विकल्प दी गई स्थिति को संतुष्ट करता है?

A. Only I
B. Only II
C. Only III
D. Both I and II
E. Both II and III

Option “D” is correct.

We know that

MP x (100 – %D) = CP x (100 + %P)

I.

LHS = 400 x (100 – 10) = 400 x 90 = 36000

RHS = 300 x (100 + 20) = 300 x 120 = 36000

LHS = RHS

This satisfies the given condition.

II.

LHS = 400 x (100 – 16) = 400 x 84 = 33600

RHS = 280 x (100 + 20) = 280 x 120 = 33600

LHS = RHS

This satisfies the given condition.

III.

LHS = 400 x (100 – 7) = 400 x 93 = 37200

RHS = 320 x (100 + 20) = 320 x 120 = 38400

LHS ≠ RHS

This does not satisfy the given condition.
160. The selling price of the mobile is 60% more than the selling price of watch and the ratio of the marked to cost price of the mobile is 5: 4. If the shopkeeper offered a discount of mobile is 12%, while he gets the profit of Rs.400 and the cost price of the Watch is half of the cost price of mobile and then find the profit percentage of watch.

मोबाइल की बिक्री मूल्य घड़ी की बिक्री मूल्य से 60% अधिक है और मोबाइल की अंकित मूल्य से लागत मूल्य का अनुपात 5: 4 है। यदि दुकानदार मोबाइल पर 12% छूट की पेशकश करता है, जबकि उसे 400 रुपये का लाभ मिलता है और घड़ी की लागत मूल्य मोबाइल की लागत मूल्य का आधा है, और फिर घड़ी का लाभ प्रतिशत ज्ञात करें?

A. 25%
B. 37.5%
C. 45%
D. 56.3%
E. None of these

Option “B” is correct.

Let SP of watch = y

SP of mobile = y * 160/100 = 8y/5

5x * 88/100 = 4x + 400

22x/5 = 4x + 400

2x = 2000

x= 1000

CP of the mobile = 4000

SP of mobile = 4000 + 400 = 4400

8y/5 = 4400

y = 2750

CP of watch = Rs. 2000

Profit percentage of watch = [(2750 – 2000)/2000] * 100 = 37.5%

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