Question 38

If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%. If the cost price is Rs. 100, then his marked price is

Solution

Let marked price = Rs. $$100x$$

Discount % = 20%

=> Selling price = $$100x\times\frac{(100-20)}{100}=Rs.$$ $$80x$$

Profit % = 25%

=> Cost price = $$80x\times\frac{100}{(100+25)}=Rs.$$ $$64$$

According to ques, => $$64x=100$$

=> $$x=\frac{100}{64}=1.5625$$

$$\therefore$$ Marked price = $$100\times1.5625=Rs.$$ $$156.25$$

=> Ans - (A)

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