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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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RailwaysMathArea and PerimeterHard

The area of a square is increased by 44%. What is the percentage increase in its perimeter? / एक वर्ग के क्षेत्रफल में 44% की वृद्धि होती है। उसके परिमाप में कितने प्रतिशत की वृद्धि होगी?

New area factor = 1.44. Therefore, new side factor = √1.44 = 1.2. Since perimeter is proportional to side, perimeter increases by 20%. / नया क्षे…
RailwaysMathArea and PerimeterHard

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

For unchanged area, 1.25 × new breadth factor = 1. So breadth factor = 1/1.25 = 0.8. Hence breadth must decrease by 20%. / क्षेत्रफल समान रखने के…
RailwaysMathArea and PerimeterMedium

The circumference of a circle is increased by 25%. By what percentage does its area increase? / एक वृत्त की परिधि में 25% की वृद्धि की जाती है। उसके क्षेत्रफल में कितने प्रतिशत की वृद्धि होगी?

Circumference is directly proportional to radius, so radius also increases by 25%. Area factor = (1.25)² = 1.5625. Therefore, area increases by 5…
RailwaysMathArea and PerimeterMedium

The radius of a circle is decreased by 20%. By what percentage does its area decrease? / एक वृत्त की त्रिज्या में 20% की कमी की जाती है। उसके क्षेत्रफल में कितने प्रतिशत की कमी होगी?

New radius = 80% of original. New area = (0.8)² = 0.64 of original area. Therefore, decrease = 36%. / नई त्रिज्या मूल त्रिज्या की 80% होगी। नया क…
RailwaysMathArea and PerimeterMedium

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?

New area = (1.20)² = 1.44 times the original area. Therefore, increase = 44%. / नया क्षेत्रफल = (1.20)² = मूल क्षेत्रफल का 1.44 गुना। अतः वृद्धि…
RailwaysMathArea and PerimeterMedium

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

New area factor = 1.20 × 0.90 = 1.08. Hence, the area increases by 8%. / नया क्षेत्रफल गुणक = 1.20 × 0.90 = 1.08। अतः क्षेत्रफल में 8% की वृद्धि…
RailwaysMathProfit and LossMedium

A toy manufacturer produced 1200 toy cars at a total cost of ₹90,000. He donated 200 cars to a charity event. For the rest, 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? एक खिलौना निर्माता ने ₹90,000 की कुल लागत पर 1200 खिलौना कारें बनाईं। उसने 200 कारें एक चैरिटी कार्यक्रम में दान कर दीं। शेष कारों पर उसने ₹120 प्रति कार के बाजार मूल्य पर 10% की छूट दी। साथ ही, प्रत्येक 8 खिलौना कार खरीदने पर 2 खिलौना कारें मुफ्त दीं। यदि सभी 1200 खिलौना कारों का वितरण हो गया, तो उसका कुल लाभ या हानि प्रतिशत कितना है?

Remaining cars after charity: दान के बाद बची कारें: = 1200 − 200 = 1000 For every 8 cars purchased, 2 are free. Therefore, out of every 10 cars d…
RailwaysCurrent AffairsCurrent Affairs

Together, PhonePe and Google Pay handled more than what percentage of all UPI transactions during 2025?

फोनपे (PhonePe) और गूगल पे (Google Pay) ने मिलकर वर्ष 2025 के दौरान कुल यूपीआई (UPI) लेनदेन के कितने प्रतिशत से अधिक का प्रबंधन किया?
Together, PhonePe and Google Pay handled more than 80% of all UPI transactions during 2025.
RailwaysCurrent AffairsCurrent Affairs

By what percentage did India's cumulative exports increase during April-May 2026-27 compared to the previous financial year?

पिछले वित्तीय वर्ष की तुलना में अप्रैल-मई 2026-27 के दौरान भारत के कुल निर्यात में कितने प्रतिशत की वृद्धि दर्ज की गई?
India's cumulative exports increased by 14.66% during April-May 2026-27 compared to the previous financial year.
RailwaysMathNumber SystemMedium

Question 1 Arrange the fractions 5/9, 4/7, 3/5 and 2/3 in ascending order. भिन्नों 5/9, 4/7, 3/5 और 2/3 को आरोही क्रम में व्यवस्थित कीजिए। Explanation / व्याख्या Convert the fractions into percentages to compare their values easily. भिन्नों के मानों की आसानी से तुलना करने के लिए उन्हें प्रतिशत में बदलें। 5/9 ≈ 55.55% 4/7 ≈ 57.14% 3/5 = 60% 2/3 ≈ 66.67% Therefore: अतः:

RailwaysMathPercentageMedium

In an examination, a candidate obtained 45% marks and failed by 30 marks. Another candidate obtained 55% marks and scored 20 marks more than the passing marks. Find the maximum marks. / एक परीक्षा में एक अभ्यर्थी ने 45% अंक प्राप्त किए और 30 अंकों से अनुत्तीर्ण हुआ। दूसरे अभ्यर्थी ने 55% अंक प्राप्त किए और उत्तीर्णांक से 20 अंक अधिक प्राप्त किए। अधिकतम अंक ज्ञात कीजिए।

Difference in percentage = 55% − 45% = 10%. Difference in marks = 30 + 20 = 50. Therefore 10% = 50, so total marks = 500. / प्रतिशत का अंतर 10% औ…
RailwaysMathPercentageEasy

In an examination, 75% of 800 students passed. How many students failed? / एक परीक्षा में 800 विद्यार्थियों में से 75% उत्तीर्ण हुए। कितने विद्यार्थी अनुत्तीर्ण हुए?

Failed percentage = 100% − 75% = 25%. Failed students = 25% of 800 = 200. / अनुत्तीर्ण प्रतिशत = 25%। अनुत्तीर्ण विद्यार्थी = 800 का 25% = 200।
RailwaysMathPercentageEasy

A student obtains 30% marks and fails by 40 marks. Another student obtains 40% marks and gets 20 marks more than the passing marks. Find the maximum marks. / एक विद्यार्थी 30% अंक प्राप्त करके 40 अंकों से अनुत्तीर्ण होता है। दूसरा विद्यार्थी 40% अंक प्राप्त करके उत्तीर्णांक से 20 अंक अधिक प्राप्त करता है। अधिकतम अंक ज्ञात कीजिए।

Difference of percentages = 40% − 30% = 10%. Difference of marks = 40 + 20 = 60. Therefore 10% = 60, so total marks = 600. / प्रतिशत का अंतर 10%…
RailwaysMathArea and PerimeterMedium

A circular pizza has a radius of 21 cm. If 75% of it is eaten, what is the area of the pizza remaining? एक गोलाकार पिज्जा की त्रिज्या 21 सेमी है। यदि उसका 75% हिस्सा खा लिया जाता है, तो बचे हुए पिज्जा का क्षेत्रफल कितना होगा?

Percentage of pizza remaining: बचे हुए पिज्जा का प्रतिशत: = 100% − 75% = 25% = 1/4 of the total pizza Area of a circle: वृत्त का क्षेत्रफल: = πr²…