Question

a merchant bought 10 kg of rice for rupess 70 per kg . he sold 5 kg at rupess 100 per kg and the remaining at rupess 80 per kg. find his profit and the profit percent


and I need full solutions step by step​

Answer 1

Given : Merchant bought 10 kg Rice for 70 ₹ per kg

$:\implies$  Cost Price of 10 kg Rice = (10 × 70) = 700 ₹

Given : Merchant sold First 5 kg of Rice at 100 ₹ per kg

$:\implies$  Selling Price of First 5 kg of Rice = (5 × 100) = 500 ₹

★  Remaining quantity of Rice near the Merchant = (10 - 5) = 5 kg

Given : Merchant sold remaining quantity of Rice at 80 ₹ per kg

$:\implies$  Selling Price of remaining 5 kg of Rice = (5 × 80) = 400 ₹

Selling Price of Total 10 kg quantity of Rice :

★  SP of first 5 kg of Rice + SP of remaining 5 kg of Rice

$:\implies$  Selling Price of 10 kg of Rice = (500 + 400) = 900 ₹

We know that : Profit = Selling Price - Cost Price

$:\implies$  Profit = (900 - 700) = 200 ₹

$\bigstar\;\;\boxed{\mathsf{Profit\;percent = \dfrac{Profit}{Cost\;Price}\times 100}}$

$\mathsf{:\implies Profit\;percent = \bigg(\dfrac{200}{700} \times 100\bigg)}$

$\mathsf{:\implies Profit\;percent = \bigg(\dfrac{200}{7}\bigg)}$

$\mathsf{:\implies Profit\;percent = 28.57\;\%}$

Answers :

★  Profit = 200 ₹

★  Profit percent = 28.57 %

Answer 2

${\huge {\mathfrak {Answer :-}}}$

➡️ The merchant bought 10 kg of rice for Rs. 70 per kg.

Hence,

1 kg costs = Rs. 70

10 kg costs = (70 * 10) = Rs. 700

✨$<b>Therefore, the total Cost Price is = Rs. 700. </b >$ ✨

➡️ He sold 5 kg at Rs. 100 per kg.

Hence,

1 kg costs = Rs. 100

5 kg costs = (100 * 5) = Rs. 500

Thus,

Remaining is = (10 - 5) = 5 kg.

➡️ He sold the remaining at Rs. 80 per kg.

Hence,

1 kg costs = Rs. 80

5 kg costs = (80 * 5) = Rs. 400

✨$<b>Therefore, the total Selling Price is = (400 + 500) = Rs. 900 </b>$ ✨

➡️ Since, 900 > 700

So, Selling Price > Cost Price

Thus, there is a Profit.

➡️ Profit = Rs. (900 - 700) = Rs. 200

➡️ Now, Profit percent

= Profit/Cost Price * 100 %

= 200/700 * 100 %

= 200/7 %

= 28.5 % (approx)

➡️ $<b>Hence, there is a Profit of Rs. 200 which is 28.5 %. </b>$

$<i>That's it.. </i>$
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${\mathfrak {\red {Arnab \:, always }}}$ ✌️
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${\huge {\blue {Thanks.. }}}$