Question

A boy bought 3 dozen apples at rs. 30 per dozen. After selling 30 apples at the rate of rs.26 per dozen, he reduced the rate to rs.6 per dozen. Find the percentage loss?

Answer 1

Loss is 16.67%.

Given:

• A boy bought 3 dozen apples at rs. 30 per dozen.
• After selling 30 apples at the rate of rs.26 per dozen, he reduced the rate to rs.6 per dozen.

To find:

• Find the percentage loss?

Solution:

Concept/Formula to be used:

$\bf Loss \%= \frac{CP - SP}{CP} \times 100$

Step 1:

Find the cost price of apples.

ATQ,

CP of 1 dozen apples is ₹30.

CP of 3 dozens of apples $3 \times 30$

$= 90$

Thus,

CP of 3 dozen apples is ₹90.

Step 2:

Find the Selling price of all apples.

SP of 30 apples (2.5 dozen)$= 26 \times 2.5$

$= 65$

SP of 6 apples (1/2 dozen apples) $= \frac{1}{2} \times 20$

$= 10$

SP of 3 dozens of apples $=65 + 10$

$= 75$

Thus,

SP of 3 dozons of apples is ₹75.

Step 3:

Find the % loss.

CP = ₹90

SP= ₹75

$Loss\:\% = \frac{90 - 75}{90} \times 100$

$Loss\:\% = \frac{15}{90} \times 100$

$Loss\:\% = \frac{1}{3} \times 50$

$\bf Loss = 16.67\:\%$

Thus,

Loss is 16.67%.

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