When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

Express 10% as decimal

Express 5% as decimal

Cross multiply

Collect like terms

This gives

Make y the subject of the formula

Also, when the discount is 5% and the profit is 351, we have:

Express 5% as decimal

This gives

Make y the subject

Substitute

Subtract x from both sides

Take LCM

Multiply both sides by 0.90

Divide both sides by 0.0975

Hence, the cost price of the cycle is Rs.3240

Read more about discounts and price at:

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Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you please don't forget to thank me

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should you really be posting this isn't math boi.