a lady buys some pencils for rupees 3 and an equal number for rupees 6.She sells them for rupees 7. find the gain or loss percent
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Answer:
55.6%
Step-by-step explanation:
Let the number of pencils bought the first time be x
Cost of pencils bought at Rs 3:
1 pencil = Rs 3
x pencils = Rs 3x
⇒ x pencils cost Rs 3x
Cost of the pencils bought at Rs 6
1 pencil = Rs 6
x pencils = Rs 6x
⇒ x pencils cost Rs 6x
Find the total cost:
Total cost = 3x + 6x = 9x
⇒ 2x pencils cost Rs 9x
Find the total selling price:
1 pencil = Rs 7
2x pencil = (2x)(7) = 14x
⇒ 2x pencils cost Rs 14x
Find the gain or loss:
Gain = Selling Price - Cost Price
Gain = 14x - 9x = 5x
Gain percentage = gain/cost price x 100
Gain percentage = (5x ÷ 9x) x 100 = 55.6%
Answer: There is a gain of 55.6%
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