61. After selling an article for Rs. 320, a person had a loss of 20%. For earning a gain of 20%, in how much amount an article will be sold?

एक वस्तु को 320 रुपये में बेचने पर एक व्यक्ति को 20% का नुकसान होता है। 20% का लाभ कमाने के लिए, उस वस्तु को कितने में बेचना होगा?


Option”A” is correct

⇒ SP of an article = Rs. 320

⇒ CP of the article = 320 × [100/80] = Rs. 400

⇒ New SP of the article = 400 × [120/100] = Rs. 480

62. While selling a book, Ankit gives a discount of 20% on the list price. If he gives a discount of 24%, his profit gets reduced by Rs. 70. The marked price of the book is

किताब की बिक्री करते समय, अंकित सूची मूल्य पर 20% की छूट देता है। यदि वह 24% की छूट देता है, तो वह 70 रु कम लाभ कमाता है। किताब का अंकित मूल्य ज्ञात कीजिए।


Option”D” is correct

Let the Marked price of the book be x

After Discount of 20%,

Selling price = 80x/100

After Discount of 24%

Selling price = 76x/100

According to the question

80x/100 – 76x/100 = 70

⇒ 4x/100 = 70

∴ x = 1750

63. Anu allows a 20% discount on the marked price of an article and still makes a profit of 25%. If he gains Rs. 44.80 on the sale of the article, then the cost price of the article is∶

अनु एक वस्तु के अंकित मूल्य पर 20% की छूट देता है और फिर भी 25% का लाभ अर्जित करता है। यदि वह वस्तु के विक्रय से ₹ 44.80 का लाभ अर्जित करता है, तब वस्तु का क्रय मूल्य है:


Option”A” is correct

Let CP of the article be 100x.

∴ SP of the article be = 125x

According to the question

⇒ 125x – 100x = 44.80

⇒ 25x = 44.80

⇒ 100x = 44.80 × 4 = 179.20

64. Sushma bought 6 tables and 12 chairs for Rs. 12,000. She sold the tables at a profit of 15% and the chairs at a loss of 10%. If her total gain was Rs. 300, then the total cost of the tables was:

सुषमा ने 6 मेज़ और 12 कुर्सियाँ 12,000 रूपये  में ख़रीदी। उसने मेज़ को 15% लाभ और कुर्सियों को 10% हानि पर बेचा। यदि उसका कुल लाभ 300 रुपये है, तो मेज़ की कुल लागत थी:


Option”C” is correct

Net profit = [300/12000] × 100 = 2.5%

Using Allegation method

(+15)                            (-10)

                   (+2.5)

12.5                             12.5

1                      :           1

2 unit = 12,000

1 unit = 6,000

Now we can say cost price of 6 tables are Rs. 6,000 and cost price of 12 chairs are Rs. 6,000.

65. By selling an article for Rs. 144, a shopkeeper loses 28%. What is the selling price for bringing down the loss to 14%?

एक वस्तु को 144 रु. में बेचने पर एक दुकानदार को 28% की हानि होती है। हानि को घटाकर 14% करने के लिए विक्रय मूल्य क्या है?


Option”A” is correct

Loss = 28%

72% of the article = 144

86% of the article = 144 × 86/72 = 172

66. When an article is sold for Rs. 291, there is a loss of 3%. What will be the selling price of the article if it is sold at a gain of 8%?

जब कोई वस्तु 291 रुपये में बेची जाती है, तो 3% की हानि होती है। यदि वह 8% के लाभ पर बेची जाती है तो वस्तु का विक्रय मूल्य क्या होगा?


Option”C” is correct

CP × 97/100 = 291

∴ CP = 300

When gain 8% , the SP will be

300 × 108/100 = 324

67. Dealer sold 4/5th of his goods at 40% profit and the remaining at the cost price. What is his overall gain?

एक व्यापारी ने अपने वस्तुओं का 4/5वाँ भाग 40% लाभ पर बेचा और शेष को क्रय मूल्य पर बेचा। उसका समग्र लाभ क्या है?


Option”B” is correct

Let the total CP of his good be Rs. 100.

⇒ He sold goods worth 4/5 × 100 = 80 at 40% gain and goods worth Rs. 20 at Sp = Rs. 20

⇒ Final SP = (140/100 × 80) + 20 = 112 + 20 = 132

⇒ Profit = (132 – 100)/100 × 100 = 32%

68. A person incurs a loss of 5% by selling a watch for Rs. 1140. At what price should the watch be sold to earn a 5% profit?

एक व्यक्ति को एक घड़ी 1140 रु. में बेचने पर 5% की हानि होती है। 5% लाभ अर्जित करने के लिए घड़ी को किस मूल्य पर बेचा जाना चाहिए?


Option”C” is correct

SP of the watch = Rs. 1140

CP of the watch = 1140 × (100/95) = 1200

New SP of the watch = 1200 × (105/100) = Rs. 1260

69. The cost price of a cycle is Rs. 24000. If the profit is 30%, then what will be the selling price?

एक साइकिल का क्रय मूल्य 24000 रुपये है। यदि लाभ 30% है, तो विक्रय मूल्य क्या होगा?


Option”D” is correct

Selling price = 24000 × 130%

⇒ 24000 × (13/10) = 31200

∴ The selling price of cycle = Rs. 31200

70. The cost price of an article is Rs. 1800. If the profit is 32%, then what is the selling price?

एक का क्रय मूल्य 1800 रुपये है। यदि लाभ 32% है, तो विक्रय मूल्य क्या है?


Option”C” is correct

The selling price = cost price × (100 + profit)%

⇒ The selling price = 1800 × 132% = 1800 × (132/100) = Rs. 2376

∴ The selling price is Rs. 2376.

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