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
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Answered by
16
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
Answered by
5
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
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