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  1. By giving a discount of 10% on the marked price of ₹ 1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :
    1. ₹ 1100
    2. ₹ 900
    3. ₹ 1089
    4. ₹ 891
Correct Option: B

Given that , discount = 10% and marked price of cycle = ₹ 1100
Selling Price = ₹ (1100 – 10% of 1100) = ₹ (1100 – 110) = 990
Let the cost price = y
According to question ,
∴  y + 10% of y = 990

⇒ 
11y
= 990
10

⇒  y =
990 × 10
= ₹ 900
11

Second method to solve this question :
Here, r = 10% , D = 10% , M.P. = ₹ 1100 , C.P. = ?
M.P.
=
100 + r
C.P.100 − D

1100
=
100 + 10
C.P.100 − 10

C.P. =
1100 × 90
= ₹ 900
110



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