If the list price of a toy is reduced by ₹ 2, a person can buy 2 toys more for ₹ 360 . The original price of the toy is

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₹ 16

₹ 20

₹ 10

₹ 27

answer is B.

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Detailed Solution

Given that if the list price of a toy is reduced by ₹ 2, a person can buy 2 toys more for ₹ 360.
Let the number of toys to be x.
Then the price of each toy will be ₹

360 x

.
If the price of a toy is reduced by ₹ 2, we can buy 2 toys more for ₹ 360.

(x + 2) 360 x − 2 = 360

(x + 2) 360 x − 2 = 360 360 + 720 x − 2 x − 4 = 360 720 x − 2 x − 4 = 0 720 − 2 x 2 − 4 x = 0

x 2 + 2 x − 360 = 0 x 2 + 20 x − 18 x − 360 = 0 (x − 18) (x + 20) = 0 Thus, x = 18 whereas x = − 20 (not valid)

x=18, since the number of toys cannot be negative.
So, price of the one toy

= 36018 = 20

The price of the toy is ₹ 20.
The correct option is (2).

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