Janki sold her leather purse at 8 percent loss. If she had sold it for 150 rupees more, she would have made a profit of 12 percent. Find selling price of the purse

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Solution

Let the CP be Rs. x

Sp in case of loss = x - 8% of x
= 92/100 x
= 23/25 x

Sp in case of profit = x + 12% of x
= 112/100 x
= 28/25 x

ACCORDING TO QUESTION
SP in case of profit - Sp in case of loss = 150

=> 28x / 25 - 23x / 25 = 150
=> 5/25 of x = 150
=> 1/5 of x = 150
=> x = 150 × 5
=> x = 750

COST PRICE = 750 Rs.
SELLING PRICE = 23/25 of CP { as discussed above }
= 23/25 × 750
=> 23 × 30
=> Rs. 690

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