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A vendor bought 12 items for a rupee. How many for a rupee should he sell to gain 20%?
Question

A vendor bought 12 items for a rupee. How many for a rupee should he sell to gain 20%?

A.

9

B.

10

C.

8

D.

11

Correct option is B

Given:

Cost price (CP) of 12 items = ₹1
CP per item =112 \frac{1}{12}​ rupees
Gain = 20%

Formula Used:

SP per item =CP per item×(1+Gain %100)= \text{CP per item} \times \left(1 + \frac{\text{Gain \%}}{100}\right)

Solution:

SP per item =112×120100=112×65=110 \frac{1}{12} \times \frac{120}{100} = \frac{1}{12} \times \frac{6}{5} = \frac{1}{10}

He must sell each item at 110\frac{1}{10}​, i.e., 10 items for ₹1.

Answer: 10 items

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