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Study ArticleCGL PYQ

A toy manufacturer produced 1200 toy cars at a total cost of ₹90,000. He donated 200 cars to a charity event. For the remaining cars, he announced a 10% discount on the market price of ₹120 per car. He also offered 2 toy cars free for every 8 toy cars purchased. If all 1200 toy cars were distributed, what is his overall gain or loss percentage?

Learn how to calculate overall gain or loss percentage with discounts and free offers in a toy car manufacturing problem for SSC and Railway exams.
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172 matching questions

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RailwaysMathPercentageHard

The length of a rectangle is increased by 20% and its breadth is decreased by 10%. By what percentage must the new area be decreased to restore the original area? / एक आयत की लंबाई में 20% वृद्धि और चौड़ाई में 10% कमी की जाती है। प्राप्त नए क्षेत्रफल को मूल क्षेत्रफल के बराबर करने के लिए कितने प्रतिशत कम करना होगा?

New area factor = 1.20 × 0.90 = 1.08. So new area is 108 when original area is 100. Required decrease = 8/108 × 100 = 7 11/27%. / नया क्षेत्रफल म…
RailwaysMathPercentageHard

A person's income increases by 25% and his savings increase by 40%. If his expenditure increases by 20%, what percentage of his original income did he save? / एक व्यक्ति की आय में 25% और उसकी बचत में 40% की वृद्धि होती है। यदि उसके व्यय में 20% की वृद्धि होती है, तो वह अपनी मूल आय का कितने प्रतिशत बचाता था?

Let original income = 100 and savings = x. Expenditure = 100 − x. New income = 125, new savings = 1.4x and new expenditure = 1.2(100 − x). So 1.4…
RailwaysMathPercentageHard

A number is increased by 20%, then decreased by 25%, and finally increased by 40%. By what percentage must the final number be decreased to obtain the original number? / किसी संख्या में पहले 20% की वृद्धि, फिर 25% की कमी और अंत में 40% की वृद्धि की जाती है। अंतिम संख्या को मूल संख्या के बराबर करने के लिए कितने प्रतिशत घटाना होगा?

Let original number = 100. It becomes 120, then 90, then 126. Required decrease = 26/126 × 100 ≈ 20.63%. / मूल संख्या 100 मानें। यह 120, फिर 90 औ…
RailwaysMathPercentageHard

A person's income increases by 20%. His expenditure increases by 15% and his savings increase by 35%. What percentage of his original income did he save? / एक व्यक्ति की आय में 20% की वृद्धि होती है। उसके व्यय में 15% और बचत में 35% की वृद्धि होती है। वह अपनी मूल आय का कितने प्रतिशत बचाता था?

Let original income = 100 and savings = x. Then expenditure = 100 − x. New income = 120, new savings = 1.35x and new expenditure = 1.15(100 − x).…
RailwaysMathPercentageHard

In a company, 60% of the employees are men. 25% of the men and 20% of the women are graduates. What percentage of the total employees are graduates? / एक कंपनी में 60% कर्मचारी पुरुष हैं। पुरुषों में 25% और महिलाओं में 20% स्नातक हैं। कुल कर्मचारियों का कितने प्रतिशत स्नातक है?

Male graduates = 25% of 60% = 15% of total. Women = 40%, so female graduates = 20% of 40% = 8% of total. Total graduates = 15% + 8% = 23%. / पुरु…
RailwaysMathPercentageHard

In a class, 40% of the students are girls. If 20% of the girls and 25% of the boys are absent, what percentage of the total students are present? / एक कक्षा में 40% विद्यार्थी लड़कियाँ हैं। यदि 20% लड़कियाँ और 25% लड़के अनुपस्थित हैं, तो कुल विद्यार्थियों का कितने प्रतिशत उपस्थित है?

Girls = 40% and boys = 60%. Present girls = 80% of 40% = 32% of total. Present boys = 75% of 60% = 45% of total. Total present = 32% + 45% = 77%.…
RailwaysMathPercentageHard

The radius of a cylinder is increased by 20%. By what percentage must its height be decreased so that its volume remains unchanged? / एक बेलन की त्रिज्या में 20% की वृद्धि की जाती है। आयतन समान रखने के लिए उसकी ऊँचाई में कितने प्रतिशत की कमी करनी होगी?

Volume ∝ r²h. Radius becomes 1.2 times, so r² becomes 1.44 times. Therefore new height must be 1/1.44 = 0.6944 times the original height. Require…
RailwaysMathPercentageHard

The length of a rectangle is increased by 25%. By what percentage must its breadth be decreased so that its area remains unchanged? / एक आयत की लंबाई में 25% की वृद्धि की जाती है। क्षेत्रफल समान रखने के लिए उसकी चौड़ाई में कितने प्रतिशत की कमी करनी होगी?

New length = 125% of original. To keep area unchanged, new breadth = 100/125 = 80% of original breadth. Hence breadth must decrease by 20%. / नई…
RailwaysMathPercentageHard

A person's income is increased by 20%. His savings increase by 50%, while his expenditure increases by 10%. What percentage of his original income did he save? / एक व्यक्ति की आय में 20% की वृद्धि होती है। उसकी बचत में 50% तथा व्यय में 10% की वृद्धि होती है। वह अपनी मूल आय का कितने प्रतिशत बचाता था?

Let original income = 100 and savings = x. Expenditure = 100 − x. New income = 120, new savings = 1.5x and new expenditure = 1.1(100 − x). Thus 1…
RailwaysMathPercentageHard

A number is increased by 20%, then by 25%, and finally decreased by 20%. What is the overall percentage change? / किसी संख्या में पहले 20%, फिर 25% की वृद्धि और अंत में 20% की कमी की जाती है। कुल प्रतिशत परिवर्तन क्या होगा?

Let the number = 100. After 20% increase = 120; after 25% increase = 150; after 20% decrease = 120. Hence the final value is 120, giving an overa…
RailwaysMathPercentageHard

The price of a commodity is increased by 40%. By what percentage should its consumption be reduced so that the total expenditure increases by only 12%? / किसी वस्तु की कीमत में 40% की वृद्धि होती है। यदि कुल खर्च केवल 12% बढ़ाना हो, तो खपत में कितने प्रतिशत की कमी करनी चाहिए?

Price becomes 140% while expenditure should become 112%. Therefore new consumption = 112/140 × 100 = 80% of original consumption. Hence consumpti…
RailwaysMathPercentageMedium

If the numerator of a fraction is increased by 25% and the denominator is increased by 20%, by what percentage does the value of the fraction increase? / यदि किसी भिन्न के अंश में 25% और हर में 20% की वृद्धि की जाती है, तो भिन्न के मान में कितने प्रतिशत की वृद्धि होगी?

New fraction/original fraction = 125/120 = 25/24. Increase = (25/24 − 1) × 100 = 1/24 × 100 = 4⅙%. / नया भिन्न मूल का 125/120 = 25/24 गुना है। वृ…
RailwaysMathPercentageMedium

The length, breadth and height of a cuboid are increased by 10%, 20% and 25%, respectively. Find the percentage increase in its volume. / एक घनाभ की लंबाई, चौड़ाई और ऊँचाई में क्रमशः 10%, 20% और 25% की वृद्धि की जाती है। उसके आयतन में प्रतिशत वृद्धि ज्ञात कीजिए।

New volume factor = 1.10 × 1.20 × 1.25 = 1.65. Therefore volume increases by 65%. / नया आयतन = 1.10 × 1.20 × 1.25 = 1.65 गुना। अतः आयतन में 65% व…
RailwaysMathPercentageMedium

The radius of a circle is reduced by 10%. By what percentage does its area decrease? / एक वृत्त की त्रिज्या में 10% की कमी की जाती है। उसके क्षेत्रफल में कितने प्रतिशत की कमी होगी?

New radius = 90%. New area = 0.9² = 0.81 = 81% of original. Therefore decrease = 19%. / नई त्रिज्या 90% होगी। नया क्षेत्रफल = 0.9² = 81%। अतः कमी…
RailwaysMathPercentageMedium

The side of a square is increased by 20%. By what percentage does its area increase? / एक वर्ग की भुजा में 20% की वृद्धि की जाती है। उसके क्षेत्रफल में कितने प्रतिशत की वृद्धि होगी?

Area is proportional to the square of the side. New area factor = 1.2² = 1.44. Hence increase = 44%. / क्षेत्रफल भुजा के वर्ग के समानुपाती है। नय…
RailwaysMathPercentageMedium

The length of a rectangle is increased by 20% and its breadth is decreased by 10%. Find the percentage change in its area. / एक आयत की लंबाई में 20% वृद्धि तथा चौड़ाई में 10% कमी की जाती है। क्षेत्रफल में प्रतिशत परिवर्तन ज्ञात कीजिए।

New area factor = 1.20 × 0.90 = 1.08. Hence area increases by 8%. / नया क्षेत्रफल = 1.20 × 0.90 = 1.08 गुना। अतः क्षेत्रफल में 8% वृद्धि होती है।
RailwaysMathPercentageMedium

The price of a commodity decreases by 20%. A consumer increases his consumption by 25%. What is the percentage change in his expenditure? / किसी वस्तु की कीमत में 20% की कमी होती है और उपभोक्ता उसकी खपत 25% बढ़ा देता है। उसके खर्च में प्रतिशत परिवर्तन क्या होगा?

Expenditure factor = 80/100 × 125/100 = 1. Hence expenditure remains unchanged. / खर्च का गुणक = 80/100 × 125/100 = 1। अतः खर्च में कोई परिवर्तन…
RailwaysMathPercentageMedium

A number is first increased by 30% and then again increased by 20%. By what percentage must the resulting number be decreased to get the original number? / किसी संख्या में पहले 30% और फिर 20% की वृद्धि की जाती है। प्राप्त संख्या को मूल संख्या पर लाने के लिए कितने प्रतिशत घटाना होगा?

Let original number = 100. It becomes 130 and then 156. Required decrease = 56/156 × 100 ≈ 35.90%. / मूल संख्या 100 मानें। यह 130 और फिर 156 हो ज…
RailwaysMathPercentageMedium

A man's income is increased by 20% and his expenditure is increased by 15%. If his savings initially were 25% of his income, find the percentage increase in his savings. / एक व्यक्ति की आय में 20% तथा व्यय में 15% की वृद्धि होती है। यदि प्रारंभ में उसकी बचत आय का 25% थी, तो उसकी बचत में प्रतिशत वृद्धि ज्ञात कीजिए।

Let income = 100. Savings = 25 and expenditure = 75. New income = 120 and new expenditure = 75 × 1.15 = 86.25. New savings = 33.75. Increase = 8.…
RailwaysMathPercentageMedium

The price of petrol rises by 20%. A person wants his expenditure on petrol to increase by only 8%. By what percentage should he reduce consumption? / पेट्रोल की कीमत में 20% की वृद्धि होती है। एक व्यक्ति चाहता है कि पेट्रोल पर उसका खर्च केवल 8% बढ़े। उसे खपत में कितने प्रतिशत की कमी करनी चाहिए?

Price factor = 1.20 and expenditure factor = 1.08. Consumption factor = 1.08/1.20 = 0.90. Hence consumption must be reduced by 10%. / कीमत का गुण…
RailwaysMathPercentageMedium

The population of a town increases by 20% in the first year, decreases by 10% in the second year and increases by 25% in the third year. Find the overall percentage change. / किसी नगर की जनसंख्या पहले वर्ष 20% बढ़ती है, दूसरे वर्ष 10% घटती है और तीसरे वर्ष 25% बढ़ती है। कुल प्रतिशत परिवर्तन ज्ञात कीजिए।

Take population = 100. It becomes 120, then 108, then 108 × 125/100 = 135. Hence overall increase = 35%. / जनसंख्या 100 मानें। यह 120, फिर 108 और…
RailwaysMathPercentageMedium

A person's salary is increased by 25%. By what percentage should the new salary be reduced to restore the original salary? / किसी व्यक्ति के वेतन में 25% की वृद्धि की जाती है। मूल वेतन पर वापस आने के लिए नए वेतन में कितने प्रतिशत की कमी करनी होगी?

Let original salary = 100. New salary = 125. Required decrease = 25/125 × 100 = 20%. / मूल वेतन 100 मानें, नया वेतन 125 होगा। आवश्यक कमी = 25/125…
RailwaysMathPercentageMedium

The price of an article is increased by 20% and then decreased by 15%. What is the net percentage change in the price? / किसी वस्तु की कीमत में पहले 20% की वृद्धि और फिर 15% की कमी की जाती है। कीमत में कुल प्रतिशत परिवर्तन क्या होगा?

Take the original price as 100. After a 20% increase it becomes 120, and after a 15% decrease it becomes 120 × 85/100 = 102. Hence, net increase…