To gain 25% after allowing a discount

Question:

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as

(a) Rs 500

(b) Rs 450

(c) Rs 460

(d) Rs 486

Solution:

(a) Rs 500

Explanation: Say, marked price = x

Cost price = Rs.360

As per the question;

x – [x×(10/100)] – [(25×360)/100] = 360

x – x/10 – 90 = 360

9x/10 = 360 + 90

9x = 4500

x = 500

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