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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

A machine makes (120) packets in the first hour and (8) fewer packets each next hour. What is the total production in the first (11) hours?The total sale of a shop for (12) weeks is (990) items. If the sale increases by (6) items every week then what was the sale in the first week?In a book donation drive (20) books are received on the first day and (8) more books are received each next day. On which day will (116) books be received?In a theatre the first row has (19) seats and each next row has (5) more seats. How many seats are there in (14) rows?A reservoir has (780) litres of water on the first day and (35) litres less each next day. How much water remains on the (15)th day?In an account, ₹2,000 is deposited in the first month and the total deposit in 8 months is ₹26,000. If the deposit increases equally every month, what is the monthly increase?On a road the first gap between poles is (15) metres and each next gap increases by (4) metres. What is the total distance of the first (12) gaps?An employee earns (22000) rupees in the first month and the salary increases by (600) rupees every month. What is the salary in the (10)th month?In an exam the first question carries (4) marks and each next question carries (3) more marks. What are the total marks of the first (15) questions?In a competition there are (24) participants in the first round and (7) more participants in each next round. How many participants are there in (9) rounds?A farmer harvests (6) acres on the first day and (2) acres more each next day. How many acres are harvested in (12) days?In a piggy bank (30) rupees are put on the first day and (30) rupees more each next day. How many days will it take to collect (1980) rupees?In a stair-like decoration the bottom row has (72) bulbs and each upper row has (6) fewer bulbs. How many bulbs are in the (10)th row?In a taxi the fare for the first kilometre is (75) rupees and each next kilometre costs (12) rupees more. What is the total fare for (10) kilometres?In a stadium the first row has (13) seats and each next row has (4) more seats. How many seats are there in (18) rows?In an instalment plan the first instalment is (3000) rupees and the total of (6) instalments is (30000) rupees. If each instalment increases by an equal amount then what is the increase?In a cleanliness campaign (4) lanes are cleaned on the first day and (3) more lanes are cleaned each next day. How many lanes are cleaned in (13) days?A company's annual profit is (30000) rupees in the first year and increases by (3000) rupees every year. What is the total profit in (7) years?In an exercise plan (20) push-ups are done on the first day and (5) more push-ups each next day. How many days are needed to complete (770) push-ups?In a tile pattern the first figure has (10) tiles and each next figure has (7) more tiles. How many tiles are in the (11)th figure?