Instalment Buying
NIOS · Class 10 · Maths
Quick revision notes for Instalment Buying — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.
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Core ideas and definitions
- Cash price is the full amount paid at the time of purchase for outright buying.
- Cash down payment is the partial amount paid at the beginning under an instalment plan.
- Instalment is the amount paid at regular intervals toward the remaining price.
Simple interest method for monthly instalments
- Use this method for short-term monthly instalment plans when the total time is less than a year.
- First find the total amount paid under the instalment plan.
- Then find the interest paid by subtracting the cash price.
Compound interest method for instalment buying
- Use compound interest for annual instalments over long periods.
- Use compound interest also for semi-annual or quarterly instalments, even if the total period is short.
- For annual instalments, the present value of the kth instalment is x(100/(100+R))^k.
Important solved results to remember
- Example 9.1: TV sold for ₹20000 cash or ₹6000 down + ₹16800 after six months gives 40% per annum rate.
- Example 9.2: Table fan rate of interest is approximately 33.8% per annum.
- Example 9.3: Microwave oven rate of interest is approximately 44.4% per annum.
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