The cost of manufacture of a tape recorder is Rs. 3500. The manufacturer fixes the marked price 30% above the cost price and allows a discount in such as to get a profit of 5%. Find the discount percentage.

Correct option is B

​Given:

Cost price (C.P.) = Rs. 3500
Marked price is fixed 30% above the cost price.
Profit percentage = 5%
Formula Used:
​$$\text{Marked Price (M.P.)} = \text{C.P.} \times \left(1 + \frac{\text{Marked Price Percentage}}{100}\right) \\[10pt]\text{Selling Price (S.P.)} = \text{C.P.} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \\[10pt]\text{Discount Percentage} = \left(\frac{\text{M.P.} - \text{S.P.}}{\text{M.P.}}\right) \times 100$$​​
Solution:
M.P. = $$3500 \times (1 + \frac{30}{100}) = 3500 \times 1.3 = 4550$$
S.P. = $$3500 \times (1 + \frac{5}{100}) = 3500 \times 1.05 = 3675$$
​$$\text{Discount Percentage} = \frac{M.P. - S.P.}{M.P.} \times 100 = \frac{4550 - 3675}{4550} \times 100 = \frac{875}{4550} \times 100 \approx 19.23\%$$​​
Therefore, the discount percentage is approximately 19.23%.