1. By selling 32 articles, a shopkeeper gains the selling price of 12 articles. His gain percentage is∶
32 वस्तुओं को बेचने पर, एक दुकानदार को 12 वस्तुओं का विक्रय मूल्य लाभ के रूप में प्राप्त होता है। उसका लाभ प्रतिशत क्या है?
Option”C” is correct
On selling 32 articles gain is equal to selling price 12 articles.
Formula Used:
Gain = SP – CP
Gain percent = Gain/CP × 100
Calculation:
According to the question,
⇒ Selling price of 32 articles = Cost price of 32 articles + Selling price of 12 articles
⇒ 32SP = 32CP + 12SP
⇒ 20SP = 32CP
⇒ 5SP = 8CP
SP = 8 and CP = 5
Gain = SP – CP
⇒ Gain = 8 – 5 = 3
Percent gain = Gain/CP × 100
⇒ Percent gain = 3/5 × 100
⇒ Percent gain = 60%
∴ His percent gain is 60%.
2. A product, whose MRP is Rs 978 , is sold for Rs 925 by a wholesale shop owner. What is the percentage of discount given by him?
एक उत्पाद, जिसकी एमआरपी 978 रुपये है, एक थोक दुकान के मालिक द्वारा 925 रुपये में बेचा जाता है। उसके द्वारा दी गई छूट प्रतिशत कितनी है?
Option”C” is correct
marked price of product = Rs 978
Selling price = Rs 925
Formula Used:
Discount = mp – sp
discount% = (discount/mp) × 100
Calculation:
Discount% = [(978 – 925)/978] × 100 = 5.41%
∴ the percentage of discount given by him is 5.4%
3. Apoorv bought 26 kg of apples for Rs.2,340. He sold them at a profit equal to the selling price of 6 kg of apples. The selling price of apples per kg, was:
अपूर्व ने 2,340 रुपये में 26 किलोग्राम सेब खरीदें। उसने उन्हें 6 किलोग्राम सेब के विक्रय मूल्य के बराबर लाभ पर बेच दिया। तो प्रति किलोग्राम सेब का विक्रय मूल्य था ज्ञात कीजिए:
Option”C” is correct
Cost price of 26kg apples = Rs.2340
Formula:
Profit = Selling price – cost price
Calculation:
Cost price of 26 kg apples = Rs.2340
Let selling price of 1 kg apple be Rs.a.
Selling price of 6kg apples = Rs.6a
Profit after selling 26kg apples = Rs.6a
Selling price of 26kg apples = Rs.26a
Then,
⇒ 6a = 26a – 2340
⇒ a = 117
∴ Selling price of 1 kg apple is Rs.117.
4. An article was sold at a loss of 12%. If it was sold for Rs. 630 more, then there would have been a gain of 6%. Find the cost price of the article.
एक वस्तु 12% की हानि पर बेची गई। यदि इसे 630 अधिक रुपये में बेचा गया होता, तो 6% का लाभ होता। वस्तु का क्रय मूल्य ज्ञात कीजिए।
7. An article was sold at a loss of 15%. If it was sold for Rs. 1,035 more, then there would have been a profit of 8%. Find the cost price of the article.
एक वस्तु 15% की हानि पर बेचा गया। यदि इसे 1,035 अधिक रुपये में बेचा जाता, तो 8% का लाभ होता। वस्तु का क्रय मूल्य ज्ञात कीजिए।
Option”C” is correct
An article was sold at a loss of 15%
If it was sold for Rs. 1,035 more, then there would have been a profit of 8%
8. The selling price of a book, including the sales tax, is Rs.956.34. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%. then the cost price of the book is:
विक्रय कर सहित एक पुस्तक का विक्रय मूल्य 956.34 रुपये है। विक्रय कर की दर 10% है। यदि दुकानदार ने 15% का लाभ अर्जित किया। तो पुस्तक का क्रय मूल्य है:
Option”A” is correct
The selling price of a book, including the sales tax, is Rs.956.34
The rate of sales tax is 10%.
The shopkeeper made a profit of 15%.
Calculation:
Let the actual selling price be x
⇒ x + 10% x = 956.34
⇒ x + 10(x)/100 = 956.34
⇒ x + x/10 = 956.34
⇒ 11x/10 = 956.34
⇒ x = (956.34 × 10)/11
⇒ x = 869.4
Now let CP be 100
⇒ Profit % = 15%
⇒ SP = 100 × 115/100
⇒ SP = 115
⇒ 115 = 869.4
⇒ 1 = 869.4/115
⇒ CP = 100 × 869.4/115
⇒ CP = 756
∴ The cost price of a book is Rs.756.
9. Ravi sells a chair to Mahan at a profit 10% and Mohan sells it to Govind at profit 20%. If Govind pays Rs. 1,320 for it. Then the cost price for Ravi is:
रवि, मोहन को 10% के लाभ पर एक कुर्सी बेचता है और मोहन इसे गोविंद को 20% के लाभ पर बेचता है। यदि गोविंद इसके लिए 1,320 रुपये का भुगतान करता है। तो रवि के लिए क्रय मूल्य है:
Option”B” is correct
Let Cost Price be Rs.x
⇒ After sells chair to Mahan at 10% CP becomes x × 110 / 100
⇒ This CP becomes SP for Govind. Govind got profit of 20% = x × (110 / 100) × 120 / 100
⇒ x (11 × 12) / 100 = 1320
⇒ x = (1320 × 100) /132
∴ CP of chair is Rs.1000
10. A man sold his bike for Rs. 25,000 at 25% profit. At what price would it he have sold if he had incurred a loss of 15%?
एक व्यक्ति ने अपनी बाइक 25% लाभ पर 25,000 रुपये में बेची। उसने इसे कितने मूल्य पर बेचा जिससे उसे 15% की हानि हुई?
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