Question 74

Ritu sold an article at a loss of 12%. Had she sold it for ₹55.80 more, she would have gained 13%. To gain 10%, she must sell it for ₹:

Solution

Let cost price of article = Rs. $$100x$$

Selling price after 12% loss = $$\frac{88}{100}\times100x=Rs.$$ $$88x$$

According to ques,

=> $$88x+55.80=\frac{113}{100}\times100x$$

=> $$113x-88x=55.80$$

=> $$x=\frac{55.80}{25}=2.232$$

$$\therefore$$ Cost price = $$100\times2.232=Rs.$$ $$223.2$$

Thus, selling price after 10% profit = $$\frac{110}{100}\times223.2=Rs.$$ $$245.52$$

=> Ans - (C)

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