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 1
st instalment

Amount of 2
nd instalment

Amount of 3
rd 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
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.