Question

a cycle agent buys 30 bicycles, of which 8 are first grade and the rest are second grade for rs 3150.find at what price he must sell the first grade bicycles so that if he sells the second grade bicycles at third quarter of the price,he may make a profit 40% on both the type of transactions?​

Answer 1

Answer:

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Step-by-step explanation:

Let S. P Of one A grade cycle = Rs.n

Then, the S. P of one b grade cycle = Rs. 3n/4

C.P of cycles = Rs. 3150, profit = 40%

$∴ S. P \: of \: 30 \: cycles \: = \: \frac{140}{100} \times 3150Rs. \\ = 3150 \times 1.4$

According to the question, we have

$8n \: + 22 \times \frac{3n}{4} = 3150 \times 1.4$

$⟹32n + 66n = 17640$

$⟹98n = 17640$

$⟹n = \frac{17640}{98}$

$⟹n = 180$

Therefore, he should sell the first grade bicycles at Rs. 180 each.