Instalment Buying
NIOS · Class 10 · Maths
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A bicycle is sold for ₹2,400 cash or ₹800 cash down payment followed by 2 monthly instalments of ₹850 each. What is the total amount paid under the instalment plan?
In an instalment buying scheme, if the cash price is ₹10,000 and the total amount paid under instalment plan is ₹10,800, what is the interest charged?
A refrigerator is available for ₹25,000 cash or ₹8,000 cash down payment and 4 equal monthly instalments of ₹4,500 each. Which payment method is more economical?
In compound interest instalment buying, a product costs ₹12,000 cash or ₹3,000 down payment plus 2 equal half-yearly instalments at 20% per annum compounded semi-annually. What is the semi-annual interest rate?
Sample Questions
A laptop is sold for ₹50,000 cash or ₹20,000 cash down payment and 3 monthly instalments of ₹10,500 each. How much extra does a customer pay by choosing the instalment plan?
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₹1,500
Step 1: Calculate total amount paid under instalment plan: Cash down payment + Total instalments = ₹20,000 + (3 × ₹10,500) = ₹20,000 + ₹31,500 = ₹51,500. Step 2: Compare with cash price: Cash price = ₹50,000. Step 3: Find the extra amount: Extra amount = Total instalment payment - Cash price = ₹51,500 - ₹50,000 = ₹1,500. Step 4: This ₹1,500 represents the interest charged for the convenience of paying in instalments.
A mobile phone is available for ₹8,000 cash or ₹2,000 down payment and 2 monthly instalments of ₹3,200 each. What percentage of the cash price is paid as down payment?
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25%
Step 1: Identify the given values: Cash price = ₹8,000, Down payment = ₹2,000. Step 2: Use the percentage formula: Percentage = (Down payment ÷ Cash price) × 100. Step 3: Calculate: Percentage = (₹2,000 ÷ ₹8,000) × 100 = (1/4) × 100 = 25%. Step 4: This means the customer pays 25% of the total cash price upfront and the remaining 75% through instalments with interest.
In an instalment plan, if the balance after down payment is ₹15,000 and it's to be paid in 3 equal instalments, what is the amount of each instalment before adding interest?
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₹5,000
Step 1: Understand that without interest, instalments would be equal divisions of the balance. Step 2: Given: Balance after down payment = ₹15,000, Number of instalments = 3. Step 3: Calculate each instalment: Amount per instalment = Balance ÷ Number of instalments = ₹15,000 ÷ 3 = ₹5,000. Step 4: Note that in actual instalment plans, interest is added to this base amount, making the actual instalments higher than ₹5,000.
A computer is purchased for ₹800 down payment and 2 instalments of ₹1,200 each. If the cash price was ₹3,000, calculate the total interest paid (in rupees).
Show answer
200
Step 1: Calculate total amount paid under instalment plan: Down payment + Total instalments = ₹800 + 2(₹1,200) = ₹800 + ₹2,400 = ₹3,200. Step 2: Given cash price = ₹3,000. Step 3: Calculate interest paid: Interest = Total amount paid - Cash price = ₹3,200 - ₹3,000 = ₹200. Step 4: This ₹200 is the extra cost for choosing the instalment option over cash payment. Step 5: The interest represents the cost of financing the purchase over time instead of paying the full amount upfront.
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