Question

I sold a chair at a profit of 10%. Had it been sold for ₹75 more profit would have been 15%. Find the cost price of the chair.​

Answer 1

Answer:

Cost price Rs. 1500

Step-by-step explanation:

Let the cost price be Rs. X

Then selling price at 10% profit = (110X/100)

If the chair is sold at Rs. 75 more then selling price = (110X/100) + 75

So,

15% of X = {(110X/100) + 75} - X

or, (15X/100) = {(11/10)X +75} - X

or, (15X/100) + X = {(11/10)X +75}

or, (115X/100) - (11X/10) = 75

or, (115X-110X)/100 = 75

or, 5X/100 = 75

or, X = (75×100)/5

or, X = 1500

Hence, cost price = Rs. 1500