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Raghav buys a shop for ₹ 120000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 5000 each. If the rate of interest is 12% and he pays the interest due on the unpaid amount with the instalment. Find the total cost of the shop.
  • a)
    ₹156800
  • b)
    ₹156700
  • c)
    ₹165200
  • d)
    ₹166800
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Raghav buys a shop for 120000. He pays half of the amount in cash and...
Given:
Cost of the shop = Rs. 120000
Amount paid in cash = Rs. 60000
Balance amount = Rs. 60000

Rate of interest = 12%
Number of annual instalments = 12
Amount of each instalment = Rs. 5000

To find:
Total cost of the shop

Calculation:
1. Interest on the unpaid amount:
The unpaid amount is Rs. 60000. The interest rate is 12%. So, the interest on the unpaid amount can be calculated using the formula: Interest = (Principal * Rate * Time) / 100
Here, Principal = Rs. 60000, Rate = 12%, and Time = 1 year.
So, the interest = (60000 * 12 * 1) / 100 = Rs. 7200

2. Total amount paid in instalments:
Number of instalments = 12
Amount of each instalment = Rs. 5000
So, the total amount paid in instalments = Number of instalments * Amount of each instalment
= 12 * 5000 = Rs. 60000

3. Total cost of the shop:
The total cost of the shop can be calculated by adding the amount paid in cash, the interest on the unpaid amount, and the total amount paid in instalments.
Total cost of the shop = Amount paid in cash + Interest on unpaid amount + Total amount paid in instalments
= 60000 + 7200 + 60000
= Rs. 127200

Therefore, the total cost of the shop is Rs. 127200, which is not mentioned in the given options.
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Community Answer
Raghav buys a shop for 120000. He pays half of the amount in cash and...
Amount paid in cash =
Remaining amount = ₹ (120000 – 60000) = ₹ 60000
Amount of 1st instalment

Amount of 2nd instalment

Amount of 3rd instalment

Total amount paid = ₹ 12200 + ₹ 11600 + ₹ 11000 + ... (12 instalments)
which form an A.P. with number of terms,
n = 12, a = 12200 and d = – 600

∴ Total cost of the shop = ₹ 60000 + ₹ 106800 = ₹ 166800
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Raghav buys a shop for 120000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of 5000 each. If the rate of interest is 12% and he pays the interest due on the unpaid amount with the instalment. Find the total cost of the shop.a)156800b)156700c)165200d)166800Correct answer is option 'D'. Can you explain this answer?
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