3. A shopkeeper bought two refrigerators for 45,000. By selling one at a profit of 10% and the other at a loss of 12%, he found that the selling price of both the refrigerators was coming out to be the same. Find the cost price of each refrigerator. At what price should the second refrigerator be sold to earn an overall profit of 15%?
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Answer:
Cost Price of Refrigerator 1 : 45000, SP = 49500
Cost Price of Refrigerator 2 : 45000, SP = 39600
Price at which refrigerator 2 should be sold to get a profit of 15% =
Step-by-step explanation:
Refrigerator 1
CP = 45000
SP = ?
Profit = 10% = 110% (100+10) of CP is SP
= 110/100 × 45000
= 11/10 × 45000
= 11/1 × 4500
= 11 × 4500
= 49500
Refrigerator 2
CP = 45000
SP = ?
Loss = 12% = 88% (100-12) of CP is SP
= 88/100 × 45000
= 88/1 × 450
= 88 × 450
= 39600
Price at which refrigerator 2 should be sold to get a profit of 15% =
Refrigerator 2
CP = 45000
SP = ?
Profit = 15% = 115% (100+15) of CP is SP
= 115/100 × 45000
= 115/1 × 450
= 115 × 450
= 51750
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