Question

a milkman sold two of his buffaloes for 20000 each. on one made a gain of 5percent and on other a loss of 10%. find his overall gain or loss.​

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is ₹1270

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$\huge\sf\blue{Given}$

✭ A milk man sold 2 of his buffaloes for 20000 each

✭ On one he made a gain of 5% and on the other he lost 10%

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$\huge\sf\gray{To \:Find}$

◈ The overall gain or loss?

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$\huge\sf\purple{Steps}$

Case 1

◕ Selling price (SP)= 20000

◕ Gain = 5%

◕ Cost Price (CP) = x

We know that,

$\underline{\boxed{\sf Gain = SP-CP}}$

Substituting the given values,

➢ Gain = 20000 - x

We also know that,

$\underline{\boxed{\sf Gain\% = \dfrac{Gain}{CP} \times 100}}$

Substituting the given values,

➢ $\sf Gain\% = \dfrac{20000-x}{x} \times 100 = 5$

➢ $\sf (20000-x)100 = 5x$

➢ $\sf 2000000 -100x=5x$

➢ $\sf 2000000 = 105x$

➢ $\sf \dfrac{2000000}{105} = x$

➢ $\sf \green{x=19047.6}$

Case 2

◕ Selling Price (SP) = 20000

◕ Loss = 10%

◕ Cost Price (CP) = y

So from the formulas we know,

➝ $\sf Loss = CP - SP$

➝ $\sf Loss = y-20000$

We also know that,

➝ $\sf Loss\% = \dfrac{Loss}{CP} \times 100$

➝ $\sf Loss\% = \dfrac{y-20000}{y} \times 100 = 10$

➝ $\sf (y-20000)100 = 10y$

➝ $\sf 100y-2000000 = 10y$

➝ $\sf -2000000 = -90y$

➝ $\sf \dfrac{-2000000}{-90} = y$

➝ $\sf \green{y=22222.2}$

Total CP

➳ $\sf Case \ 1 + Case \ 2$

➳ $\sf 19047.6 + 22222.2$

➳ $\sf \red{Total \ CP = 41269.8}$

Total SP

➳ $\sf Case \ 1 + Case \ 2$

➳ $\sf 20000+20000$

➳ $\sf \red{Total \ SP = 40000}$

On comparing the CP and SP we may find that CP > SP which means it's a loss,so we know that,

»» $\sf Loss = CP - SP$

»» $\sf Loss = 41269.8 - 40000$

»» $\sf Loss = 1269.8$

»» $\sf \orange{Loss = Rs \ 1270}$

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Answer 2

Step-by-step explanation:

ANSWER

Sp of buffalo1 = Rs 20,000

Gain =5%

So, Cost price of buffalo1 =

105

100

×20,000= Rs. 19047.62

SP of buffalo2 = Rs 20,000

Loss =10%

Cost price of buffalo2 =

90

100

×20,000= Rs 22,222.22

Total Cost price = Rs 41269.84

Total selling price = Rs 40,000

Loss = Rs 1269.84