Question

9. Pankaj buys some pomegranates at the rate of Rs 40 per dozen and the same number
of pomegranates at the rate of Rs. 30 per dozen. He sells all at the rate of Rs 45 per dozen
and earns a profit of Rs 280. Find the number of pomegranates purchased by him.
पंकज 40 रु. प्रति दर्जन के भाव से कुछ अनार खरीदता है तथा उतनी ही अनार 30 रु. प्रति दर्जन के भाव
से खरीदता है। वह सभी को 45 रु. प्रति दर्जन के भाव से बेचकर 280 रु. लाभ कमाता है। उसके द्वारा
खरीदे गये अनारों की संख्या बताइए।
[A]28
[B] 168
[C] 252
[D] 336​

Answer 1

Answer:

336

Step-by-step explanation:

12 quantity for 40, 12 quantity for 30, 24 quantity for 70, sold 12 quantity for 45, 24 quantity for 90, profit 90-70=20, when qty was 24, profit was 20, to earn ₹ 280, qty= 24*14=336

Answer 2

Concept:

The interest rate at which someone receives their principal amount for a specific period of time is called the rate.

Given:

Pankaj bought the same number of pomegranates at the rate of Rs 40 per dozen and Rs. 30 per dozen.

Pankaj sold the pomegranates at Rs. 45 per dozen. The profit he made is Rs. 280.

Find:

The number of pomegranates he bought.

Solution:

Let assume,

Pankaj bought $x$ dozens of pomegranates for Rs.40.

Therefore, he bought $x$ dozens of pomegranates for Rs. 30.

So, the pomegranates he bought $=x+x=2x$ dozens.

Total Cost price $=40x+30x=70x$

He sold them at the rate of Rs 45 per dozen.

So, the total selling price $=45\times2x=90x$

So, the profit $=90x-70x=20x$

Now, the total profit he earns is Rs. 280.

$20x=280$

$x=\frac{280}{14}$

$x=14$

So, $2x=2\times14=28$

Therefore, the total number of pomegranates Pankaj bought is $28$.

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