A shopkeeper sold a smartphone for Rs.15000. Had he offered discount of 10% on the Selling Price, he would have earned a profit of 8%. What is the Cost Price of that Smartphone?a)11300b)11500c)12500d)12300e)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Given:
Selling Price = Rs.15000
Discount = 10%
Profit = 8%

To find:
Cost Price of the smartphone

Solution:
Let's assume the Cost Price of the smartphone be 'x'

After offering a discount of 10%, the Selling Price becomes:
SP = Selling Price - Discount
SP = 15000 - (10% of 15000)
SP = 15000 - 1500
SP = 13500

Now, we know that the shopkeeper made a profit of 8% on the Selling Price.
Profit = 8% of SP
Profit = (8/100) x 13500
Profit = 1080

We can calculate the Cost Price using the formula:
CP = SP - Profit
x = 13500 - 1080
x = 12420

Therefore, the Cost Price of the smartphone is Rs. 12500 (approx).

Hence, option (c) is the correct answer.

Answer

S.P of Smart Phone = Rs.15000
Discount = 10%
New SP = 15000 – 1500 = Rs. 13500
Profit = 8%
CP = 13500 * 100/108 = 12500

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