Question

A coat was sold by a shopkeeper at a gain of 5%.if it had been sold for Rd 1650 less he would have suffered a loss of 5%.find the cost price

Answer 1

let cost price of coat = x

so sales price =  cost price + profit = x + (5% of x)

⇒ sales price = x + 5x/100

Given that if sales price is less for Rs 1650 , then there is a loss of 5%

so (x + 5x/100) - 1650 = cost price - loss of 5 %

⇒ 105x/100 - 1650 = x - 5x/100

⇒ 105x/100 - 1650 = 95x/100

⇒ 105x/100 - 95x/100 = 1650

⇒ 10x/100 = 1650

⇒ x/10= 1650

⇒ x= Rs 16500

hence cost price = Rs 16500

Answer 2

Answer: P%=5%

P%=P/CP×100

5% = SP-CP×100/ CP

5/100 = SP/CP - 1

1/20+1 = SP/CP

21/20= SP/CP

L%= 5%

L%= L/CP×100

5/100 = CP-(SP-1650)/CP

1/20 = 1- (SP-1650)/CP

1/20-1 = SP-1650/CP

19/20= 21/20-1650/CP

19/20-21/20= 1650/CP

2/20 = 1650/CP

1/10 = 1650/CP

CP= 1650 ×10

CP= Rs.16500