Question

a cycle dealer offers a discount of 10'/, and still makes a profit of 26'/, what is the actual cost to him of a cycle whose marked price is Rs 840

Answer 1

HEY DEAR ... ✌️

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C•P of cycle = RS. x

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$840 \times \frac{90}{100} = x \times \frac{0 \times 126}{100}$
$126x = 840 \times 90$
$x = \frac{840 \times 90}{126}$
RS. 600 ans.


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HOPE , IT HELPS ... ✌️

Answer 2

A cycle dealer offers a discount of 10'/, and still makes a profit of 26'/. The actual cost to him was Rs 600 when marked price is Rs 840

Let the Cost Price of the cycle to the dealer be Rs 'x'.

Given that the marked price = Rs 840.

We know that discount is always offered on the Marked Price.

So, after giving a discount of 10%, the Selling Price of the cycle would be:

S.P. =  (100-10)% of MP

= (90)% of Rs 840

= (90/100) × Rs 840

= Rs 756.

Given that even after selling it at Rs 756, the dealer earns a profit of 26%. This means that the C.P. would be lower than the S.P. So, CP is given as:

CP = (100/[100+profit%]) × SP

= (100/100+126) × Rs 756

= (100/126) × Rs 756

= Rs 600.

So, the Cost Price of the cycle is Rs 600.