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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

In an electricity plan (150) units are used in the first month and (25) more units are used each next month. How many units are used in (10) months?In a building the first floor has (150) windows and each next floor has (7) fewer windows. Which floor will have (52) windows?In an instalment plan the first instalment is (7500) rupees and each next instalment is (1250) rupees more. What is the total of (6) instalments?In a relief camp (960) packets are placed in (16) rows. If each next row has (4) more packets then how many packets were in the first row?In a book fair (27) books are sold at the first stall and (9) more books are sold at each next stall. How many books are sold at (13) stalls?An app earns (250) rupees on the first day and the income increases by (35) rupees each next day. What will be the income on the (11)th day?In a fund (200) rupees are deposited in the first month and (50) rupees more each next month. How many months are needed to collect (4250) rupees?A machine costs (1000) rupees on the first day and (45) rupees less each next day. What is the total cost in (12) days?In a flag decoration the first row has 33 flags and the 18th row has 152 flags. If the rows are in an AP then what is the increase?A website gets (500) visits on the first day and (75) more visits each next day. How many visits are received in (9) days?In a tank (36) litres of water are filled in the first minute and (12) litres more each next minute. In which minute will (192) litres be filled?In a figure pattern the first figure has (11) dots and each next figure has (6) more dots. How many dots are there in the first (24) figures?In a club (990) members join in (12) months. If (22) members joined in the first month and the increase was equal every month then what is the increase?A shop has (500) items on the first day and (30) fewer items each next day. How many items will remain on the (14)th day?On a road the first gap between two poles is 18 metres and each next gap increases by 9 metres. What is the total distance of the first 17 gaps?The first row of a hall has 36 seats and each next row has 6 more seats. If the total number of seats is 1566, how many rows are there?In a daily wage plan (600) rupees are earned on the first day and (80) rupees more each next day. What is the total wage in (15) days?A course fee is 250 rupees in the first month and increases by 75 rupees each next month. In which month will the fee be 1075 rupees?A website gets (900) visits on the first day and (50) fewer visits each next day. How many visits are received in (10) days?In a laboratory 16 instruments are placed on the first day and 1600 instruments are placed in 25 days. If the increase is equal each day then what was the increase?