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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?

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Rs.120

Rs.567

Rs.600

Rs.248

answer is A.

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Detailed Solution

Given,
Marked price (MP) of the cycle is Rs.840.
Discount = 10%
Now, discount percentage is,

⇒ Discount % = Discount MP (100) ⇒ 10 = Discount 840 (100) ⇒ Discount = R s .84 Now, selling price (SP) is, SP = MP − Discount ⇒ R s .840 − R s .84 ⇒ R s .756

Now, cost price (CP) is,

CP = 100 100 + profit % SP ⇒ CP = 100 100 + 26 R s .756 ⇒ CP = R s . 100126 (756) ⇒ CP = R s .600

Thus, the actual price of cycle is Rs.600.
Therefore, option (1) is correct.

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