Question

how to find the gain %..

A dealer bought 100 quintals of rice at rs700 per quintal. He sold 50 quintals at RS 1000 per quintal and the remaining at RS 800 per quintal, find his loss/gain %..​

Answer 1

AnswEr :

• A Dealer bought 100 Quintals Rice at the rate of Rs. 700
• He Sold 50 Quintals at the rate of Rs. 1000
• And Sold Remaining of the Rice (100 - 50) = 50 Quintals at the rate of Rs. 800
• Find Gain% of Dealer.

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⋆ CP = Quantity × Rate

» CP = 100 Quintals × Rs. 700

» CP = Rs. 70,000

⠀

⋆ SP = (Quan.₁ × Rate₁) + (Quan.₂ × Rate₂)

» SP = (50 × Rs. 1000) + (50 × Rs. 800)

» SP = Rs. 50,000 + Rs. 40,000

» SP = Rs. 90,000

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

$\Rightarrow \sf{Gain\% = \dfrac{(SP - CP)}{CP} \times 100}$

$\Rightarrow \sf{Gain\% = \dfrac{(90000 - 70000)}{70000} \times 100}$

$\Rightarrow \sf{Gain\% = \dfrac{2 \cancel{0000}}{7 \cancel{0000}} \times 100}$

$\Rightarrow \sf{Gain\% = \dfrac{2}{7} \times 100}$

$\Rightarrow \sf{Gain\% = \dfrac{200}{7}}$

$\Rightarrow \sf{Gain\% = 28 \dfrac{4}{7} \% }$

⠀

$\therefore$ Dealer Gain% is $\sf{28 \dfrac{4}{7} \%}$

Answer 2

Answer:

$\frac{200}{7} \% \: or \: 28 \ \frac{4}{7} \% \: is \: the \: gain \: \% \: take \: by \: the \: dealer$

Step-by-step explanation:

CP of 1 quintal of rice = rs 700

CP of 100 quintals of rice = rs 100 × 700

CP of 100 quintals of rice = rs 70,000

Total CP of rice = rs 70,000

In 1st case

SP of 50 quintals of rice at the rate of rs 1000 per quintals.

SP of 1 quintal of rice = rs 1,000

SP of 50 quintals of rice = rs 50 × 1,000

SP of 50 quintals of rice = rs 50,000

In 2nd case

Remaining amount of rice = (100-50) quintals

SP of other 50 quintals of rice at the rate of rs 800 per quintals.

Remaining amount of rice = 50 quintals

SP of 1 quintal of rice = rs 800

SP of 50 quintals of rice = rs 50 × 800

SP of 50 quintals of rice = rs 40,000

Total SP of rice = SP of rice in 1st case + SP of rice in 2nd case

Total SP of rice = rs (50,000 + 40,000)

Total SP of rice = rs 90,000

Here,

SP of rice is greater,

Then,

Dealer takes profit

Profit = Total SP - Total CP

Profit = rs (90,000 - 70,000)

Profit = rs 20,000

For profit % prefers to the attachment.

Profit % = 200/7 %.