a) Rs. 400
b) Rs. 440
c) Rs. 500
d) Rs. 550
Answer: c
Explanation:
$$\eqalign{
& {\text{Let the C.P. be Rs. }}x \cr
& {\text{Then, }}20\% {\text{ of }}x = 1100 \cr
& \Rightarrow \frac{{20}}{{100}} \times x = 1100 \cr
& \Rightarrow x = 5500 \cr
& {\text{C}}{\text{.P}}. = {\text{Rs}}{\text{. }}5500 \cr} $$
Expenditure on repairs = 10%
$$\eqalign{
& {\text{Actual price}} \cr
& = {\text{Rs}}.\left( {\frac{{100}}{{110}} \times 5500} \right) \cr
& = {\text{Rs}}{\text{. }}5000. \cr
& {\text{Expenditure on repairs}} \cr
& = {\text{Rs}}.\left( {5500 – 5000} \right) \cr
& = {\text{Rs}}{\text{. }}500 \cr} $$
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