Question

एक दूध वाले ने अपनी दो गायों को 20000रुपये में प्रति गाय की दर से बेचा।एक गाय पर उसे 5%लाभ और दूसरी पर 10% की हानि हुई। इस सौदे में उसका कुल लाभ या कुल हानि बताइए?

Answer 1

Answer :

• SP of 1st Cow = 20,000
• Gain% = 5%

• CP of 1st Cow :

» 100/(100 + 5) × 20,000

» 100/105 × 20,000

» 100 × 190.47

» Rs. 19,047

• SP of 2nd Cow = 20,000
• Loss% = 10%

• CP of 2nd Cow :

» 100/(100 - 10) × 20,000

» 100/90 × 20,000

» 100 × 222.22

» Rs. 22,222

★ SP of Both Cow = 20,000 + 20,000

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= Rs. 40,000

★ CP of Both Cow = 19,047 + 22,222

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= Rs. 41,269

• Loss = CP - SP

= Rs. (41,269 - 40,000)

= Rs. 1,269

჻ Total Loss Incurred by That Milkman is Rs. 1,269.

Answer 2

AnswEr :

⠀

Total Loss on selling both Cows is Rs. 1,269.

⠀

Explanation :

⋆ 1st Cow

SP = Rs. 20,000 and, Gain% = 5%

$\large \boxed {\bold{SP = CP \times \frac{(100 + gain\%)}{100} }}$

$\implies \bold{20000 = CP \times \dfrac{105}{100} }$

$\implies \bold{190.47 = CP \times \dfrac{1}{100} }$

$\implies \bold{190.47 \times 100 = CP}$

$\implies \bold{CP =Rs. 19047}$

⋆ 2nd Cow

SP = Rs. 20,000 and, Loss% = 10%

$\large \boxed {\bold{SP = CP \times \frac{(100 - loss\%)}{100} }}$

$\implies \bold{20000 = CP \times \dfrac{90}{100} }$

$\implies \bold{222.22 = CP \times \dfrac{1}{100} }$

$\implies \bold{222.22 \times 100 = CP}$

$\implies \bold{CP = Rs. 22222}$

⠀

━━━━━━━━━━━━━━━━━━━━━━━━

◐ Total SP = 20,000 + 20,000 = Rs. 40,000

◐ Total CP = 19047 + 22222 = Rs. 41,269

━━━━━━━━━━━━━━━━━━━━━━━━

⠀

➟ Loss = CP - SP

➟ Loss = Rs. 41,269 - Rs. 40,000

➟ Loss = Rs. 1,269

⠀

$\large\therefore$ Total Loss on selling both Cows is Rs. 1,269.