Question 47

A seller gains 20% profit even after allowing 10% discount. If the amount of profit on a TV set is Rs.750, then the marked price of the TV set is

Solution

Let marked price of TV set = Rs. $$100x$$

Discount % = 10%

=> Selling price = $$100x-(\frac{10}{100}\times100x)$$

= $$100x-10x=Rs.$$ $$90x$$

Profit % = 20%

=> Cost price = $$\frac{90x}{(100+20)}\times100$$

= $$\frac{90x}{6}\times5=Rs.$$ $$75x$$

Thus, profit = $$90x-75x=750$$

=> $$x=\frac{750}{15}=50$$

$$\therefore$$ Marked price = $$100\times50=Rs.$$ $$5000$$

=> Ans - (B)

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