A man buys a TV priced at Rs. 16000. He pays Rs. 4000 at once and the rest after 15 months on which he is charges a simple interest at the rate of 12% per year. The total amount he pays for TV is = ?

Answer: Option C

Total price of TV = Rs. 16000
Initial payment = Rs. 4000
Remaining amount = Rs. 12000
Simple interest in 15 months for Rs. 12000
$$\begin{array}{rl}& \Rightarrow \text{S}\text{.I}\text{. = }\frac{\text{P}\times \text{R}\times \text{T}}{100}\\ & \Rightarrow \text{S}\text{.I}\text{. = }\frac{12000\times 12\times 15}{100\times 12}\\ & \Rightarrow \text{S}\text{.I}\text{. = Rs}\text{. 1800}\end{array}$$
⇒ With S.I. total amount to be paid for principal amount Rs. 12000
= Rs. (12000 + 1800)
= Rs. 13800
= Therefore, total amount he pays for the TV is
= 4000 + 13800
= Rs. 17800