Question

7. By selling two clocks each for 2400, there is 4% loss on one clock and 20%
profit on the other clock. What is the overall percentage of profit by selling
the clocks?
​

Answer 1

Answer:

Answer :

Step-by-step explanation:

Step-by-step explanation :

Answer 2

Answer:

• By selling the clocks profit% was $\sf6\dfrac{2}{3}\%$

Step-by-step explanation:

Given that:

• Two clocks were sold for ₹ 2400.
• There was a 4% loss on 1st clock and 20% profit on the 2nd clock.

To find:

• Overall percentage of profit by selling the clocks.

Solution:

1st clock:

SP = ₹ 2400

Loss% = 4%

$\sf{CP=\dfrac{100}{100-loss\%}\times SP}$

Substituting the values,

$\sf{CP=\dfrac{100}{100-4}\times 2400}$

Subtracting 4 from 100,

$\sf{=\dfrac{100}{96}\times 2400}$

Reducing the numbers,

$\sf{=100\times 25}$

Multiplying 100 and 25,

$\sf{= 2500}$

Hence, CP of 1st clock is ₹ 2500.

2nd clock:

SP = ₹ 2400

Profit% = 20%

$\sf{CP=\dfrac{100}{100+gain\%}\times SP}$

Substituting the values,

$\sf{CP=\dfrac{100}{100+20}\times 2400}$

Adding 100 and 20,

$\sf{=\dfrac{100}{120}\times 2400}$

Reducing the numbers,

$\sf{=100\times20}$

Multiplying 100 and 20,

$\sf{=2000}$

Hence, CP of 2nd clock is ₹ 2000.

Now,

Total CP = ₹(2500+2000)

= ₹ 4500

Total SP = ₹(2400 × 2)

= ₹ 4800

Because,

SP > CP

Hence, it is profit.

Profit = SP - CP

= 4800 - 4500

= ₹ 300

Now,

$\sf{Profit\%=\dfrac{300}{4500}\times 100}$

Cutting the zeros,

$\sf{=\dfrac{300}{45\!\!\!\not{0}\!\!\!\not{0}}\times 1\!\!\!\not{0}\!\!\!\not{0}}\\\\= \dfrac{300}{45}$

Reducing the numbers,

$\sf{=\dfrac{20}{3}}\\\\=6\dfrac{2}{3}$

Hence, by selling the clocks profit% is $\sf6\dfrac{2}{3}\%$.