A man sells an article at a profit of 25 If he had bought it at 20 less and soldit for Rs 3675 less ...

Question

A man sells an article at a profit of 25 If he had bought it at 20 less and soldit for Rs 3675 less he would have gained 30 Find the cost price of the article

Accepted Answer

Let us consider the cost price of article be Rs x

The Profit percent is = 25% of 100 = 25/100

Selling price of article = x + x × 25/100

= x + x/4

= (4x+x)/4

= Rs 5x/4

If cost price of article is 20% less (given) = 20% of 100 = 20/100

Now, cost price is = x - x×20/100

= x – x/5

= (5x-x)/5

= Rs 4x/5

Now, selling price is = Rs5x/4 – 36.75

The Profit percent is = 30% of 100 = 30/100

He would have gained 30% selling at that price (Given)

We know that,

Gain = SP – CP

= 5x/4 – 36.75 – 4x/5

= (25x – 16x)/20 – 36.75

= 9x/20 – 36.75

Gain % = (gain/cost price) × 100

30% = [{(5x/4) – 36.75} - (4x/5)] / (4x/5) × 100

30/100 = (9x/20 – 36.75) / (4x/5) × 100 x = 175

∴ Cost price of article is Rs 175

RD Sharma Solutions Class 8 Mathematics Solutions for Profit Loss Discount and Value Added Tax Exercise 13.1 in Chapter 13 - Profit Loss Discount and Value Added Tax