Aman purchases a washing machine for Rs.12,000. He pays Rs.2,000 at first and the rest after 1 year, on which he is charged a simple interest at the rate of 10% per year. The total amount he pays for the washing machine is:

Correct option is A

Given:

Price of washing machine = Rs. 12,000

Initial payment = Rs. 2,000

Remaining amount to be paid = Rs. 12,000 - Rs. 2,000 = Rs. 10,000

Interest rate = 10% per year

Time = 1 year

Formula Used:

$$\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}$$  

Amount = Principal + Interest 

Solution:

The remaining amount after the first payment is Rs. 10,000. Since it's subject to simple interest for 1 year at a rate of 10%, the formula to calculate the total amount after 1 year is:

Total amount after 1 year = Remaining amount + Interest 

​$$\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}$$​

Interest  = $$10{,}000 \times \frac{10}{100} \times 1 = 1{,}000$$

​​Total amount after 1 year = 10,000 + 1,000 = 11,000 

The total amount Aman needs to pay is the sum of the initial Rs. 2,000 he paid upfront and the Rs. 11,000 he needs to pay after 1 year:

Total amount paid = 2,000 + 11,000 = 13,000

The total amount Aman pays for the washing machine is Rs. 13,000.

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