Question

Ramrao bought a cupboard for 4500 rupees and sold it for 4950 rupees. Shamrao bought a sewing machine for 3500 rupees and sold it for 3920 rupees. Whose transaction was more profitable?​

Answer 1

$\LARGE{\underline{\underline{\blue{\mathfrak{Correct \: \: \: Question :-}}}}}$

Ramrao bought a cupboard for 4500 rupees and sold it for 4950 rupees. Shamrao bought a sewing machine for 3500 rupees and sold it for 3920 rupees. Whose transaction was more profitable?

$\rule{200}{2}$

$\LARGE{\sf{To \: Find :}}$

Whose transition was more profitable

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$\LARGE{\sf{Solution :}}$

We know that,

$\Large{\boxed{\boxed{\green{\tt{Profit \: = \: S. P \: - \: C. P}}}}}$

Case 1 :-

Cost price of cupboard = 4,500 Rupees

Selling price of cupboard = 4,950 Rupees

(Put Value in above formula)

⇒Profit = 4,950 - 4,500

⇒ Profit = 450 Rupees

∴ Profit of Ramora is 450 Rupees.

$\Large{\boxed{\blue{\sf{Profit \% = \frac{Profit \times 100}{Cost \: Price}}}}$

Profit % = 450 * 100 / 4500

⇒ Profit % = 10 %

$\rule{200}{2}$

Case 2 :-

Cost price of sewing machine = 3,500 Ruppes

Selling price of sewing machine = 3,920 Rupees

(Again put value in above formula)

⇒ Profit = 3,920 - 3,500

⇒ Profit = 420 Rupees

∴ Shamrao profit is 420 Rupees

$\Large{\boxed{\blue{\sf{Profit \% = \frac{Profit \times 100}{Cost \: Price}}}}$

Profit % = 420 * 100/3500

⇒ Profit % = 12 %

$\rule{200}{2}$

So, Shamroa transaction is more Profitable.

$\Large{\boxed{\red{\sf{Shamroa's \: Profit \: is \: more }}}}$

Answer 2

Answer:  Transaction of Shamrao was more profitable

Step-by-step explanation:

Let us consider two cases as given for Ramrao and Shamrao.

Case: I

Ramrao bought a cupboard for 4500 rupees and sold it for 4950 rupees

Cost Price = ₹ 4500

Selling Price = ₹ 4950

Profit = Selling Price - Cost Price

Profit = 4950 - 4500

Profit = ₹ 450

Profit % = (Profit × 100)/Cost Price

             = (450 × 100)/4500

             = 45000/4500

             = 10 %

Case: II

Shamrao bought a sewing machine for 3500 rupees and sold it for 3920 rupees

Cost Price = ₹ 3500

Selling Price = ₹ 3920

Profit = Selling Price - Cost Price

Profit = 3920 - 3500

Profit = ₹ 420

Profit % = (Profit × 100)/Cost Price

             = (420 × 100)/3500

             = 42000/3500

             = 12 %

We can see that Profit % of Transaction of Shamrao is more than that of Ramrao.

Therefore, Transaction of Shamrao was more profitable