Maths · Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable
If the rate of increases by then selling price of an article goes up by Rs. 140.
If the rate of \( V A T \) increases by \( 2 \% \) then selling price of an article goes up by Rs. 140. Find the marked price of the article
- A. \( R s .1000 \)
- B. \( R s .7000 \)
- C. \( R s .7500 \)
- D. \( R s .9000 \)
Step-by-step solution
Let marked price be M. Initial VAT rate = r%. Selling price = M + r% of M = M(1 + r/100). After increase, rate = (r+2)%, new SP = M(1 + (r+2)/100). Increase = M(1 + (r+2)/100) - M(1 + r/100) = (2/100)M = M/50 = 140. Hence M = 140 × 50 = 7000.
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