Question 61

Ramesh incurred a loss of 10% after selling a phone. If he had sold the phone for ₹1,260 more, then he would have made a profit of 5%. What is the cost price of the phone?

Solution

Let's assume the cost price of the phone is '100y'.

Ramesh incurred a loss of 10% after selling a phone.

Selling price when there is a loss of 10% = 100y of (100-10)%

= 100y of 90%

= $$100y\times\frac{90}{100}$$

= 90y

If he had sold the phone for ₹1,260 more, then he would have made a profit of 5%.

90y+1260 = 100y of (100+5)%

90y+1260 = 100y of 105%

90y+1260 = 105y

105y-90y = 1260

15y = 1260

y = 84

Cost price of the phone = 100y = $$100\times84$$ = ₹8400


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