Instalment Buying
NIOS · Class 10 · Maths
Summary of Instalment Buying for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Instalment buying is a financial arrangement that allows customers to purchase expensive items by making a partial payment initially and paying the remaining amount in regular instalments. This system makes costly goods like televisions, computers, refrigerators, and vehicles accessible to common pe
Key Concepts
The total amount a customer pays
The total amount a customer pays when buying an article outright without any instalment plan. This is the benchmark price used to calculate interest c
The initial partial payment made by
The initial partial payment made by the customer at the time of signing the instalment agreement and taking possession of the article. This reduces th
For monthly instalments over short periods
For monthly instalments over short periods (typically less than a year), simple interest is used. The key approach is: Interest = (Total amount paid -
When finding cash price from given
When finding cash price from given instalments, we calculate the present value of each future payment using the formula: Principal = (Instalment × 120
For annual
For annual, semi-annual, or quarterly instalments over extended periods, compound interest is used. Present value of kth instalment = x(100/(100+R))^k
Learning Objectives
- Understand the concept of instalment buying and its key terms
- Calculate the rate of interest charged in instalment plans using simple interest method
- Determine the amount of equal instalments when cash price and interest rate are given
- Find the cash price when instalment details and interest rate are known
- Apply compound interest calculations for long-term instalment plans
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