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Subjects

Mathematics

Word problems based on APs

अंकगणितीय प्रगति पर आधारित शब्द समस्याएँ

This Class 10 Mathematics topic applies Arithmetic Progressions (AP) to real-life word problems. Students learn to identify the first term, common difference, number of terms, and required sum from situations involving regular increases or decreases, such as savings, seating arrangements, wages, distances, and patterns. They practise translating statements into AP terms, selecting suitable formulas, solving step by step, and checking whether the answer fits the original context.

Practice questions

The first row of an auditorium has 34 seats and each next row has 7 more seats. How many seats are there in 21 rows?In a saving challenge (90) rupees are deposited on the first day and (30) rupees more each next day. What is the total saving in (14) days?In a warehouse (500) packets are stored on the first day and (25) fewer packets are stored each next day. How many packets are stored in (14) days?A shop sells (1320) items in (16) weeks. If (45) items are sold in the first week then what is the weekly increase?In a flower decoration the first layer has (42) flowers and each next layer has (11) more flowers. Which layer will have (207) flowers?A production centre makes (70) items in the first hour and (13) more items each next hour. What is the total production in (12) hours?In a fair (1485) tickets are sold in (18) days. If the sale increases by (5) tickets each day then how many tickets were sold on the first day?A reservoir has (210) litres of water on the first day and (12) litres less each next day. On which day will (66) litres remain?In a taxi the fare for the first kilometre is (85) rupees and each next kilometre costs (30) rupees more. What is the total fare for (11) kilometres?In a practice camp (14) questions are solved on the first day and (1230) questions are solved in (20) days. If the increase is equal each day then what is the daily increase?In a game (75) coins are earned at the first level and (35) more coins are earned at each next level. How many coins are earned in the first (16) levels?A farmer sells (95) kg grain in the first week and (18) kg more each next week. In which week will (311) kg grain be sold?In a stage decoration the first row has (96) lights and each next row has (4) fewer lights. How many lights are there in (18) rows?A cyclist covers (28) km in the first hour and (7) km more each next hour. What is the total distance in (15) hours?An app gets (2590) downloads in (14) days. If downloads increase by (12) each day then how many downloads happened on the first day?In a donation box (60) rupees are put on the first day and (20) rupees more each next day. How many days will be needed to collect (2040) rupees?An employee's monthly salary starts at (18000) rupees and increases by (2200) rupees every month. What is the total salary for (7) months?A stock has (320) boxes on the first day and (20) fewer boxes each next day. What is the total observed number of boxes over (11) days?In an online game (120) points are earned at the first level and (45) more points are earned at each next level. How many points are earned at the (18)th level?In a row arrangement the first row has 25 students and 22 rows have 1243 students in total. If the increase is equal then what is the increase?