Question

Sandeep and Manish invested rupees 21000 and rupees 27000 respectively and started a business. They made a profit of 4800. What amount will each of them get?

Answer 1

Given:

• Sandeep and Manish invested ₹ 21000 and ₹ 27000.
• They made a profit of ₹ 4800.

To Find:

• The amount each of them get.

We have to find the proportion of investment.

$\implies \displaystyle{\sf{2100:2700}}$

$\implies \sf{\dfrac{ \cancel{21} \cancel{000} }{ \cancel{27} \cancel{000} } }$

$\implies \sf{\boxed{\orange{\sf{\dfrac{7}{9} } } } }$

   

∴ the proportion of investment is 7:9, so the proportion also will be shared in the proportion 7:9.

   

Let Sandeep's profit be ₹ 7x & Manish's profit be ₹ 9x.

The Profit is ₹ 4800 ...(Given)

$\implies \sf{ 7x + 9x = 4800 }$

$\implies \sf{ 16x = 4800 }$

$\implies \sf{ x = \dfrac{ \cancel{ 4800 } }{ \cancel{ 16 } } }$

$\implies \boxed{\orange{\sf{x = 300}}}$

   

Here,

7x = 7 × 300 = 2100

9x = 9 × 300 = 2700

   

Final Answer:

Sandeep's share in profit is ₹ 21000, and Manish's share in profit is ₹ 27000.

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Answer 2

We know that Sandeep and Manish invested rupees 21000 and rupees 27000 and started a business.

• Given

To find the ratio proportion of investment,

$\longrightarrow \; \sf{21000:27000}$

$\longrightarrow \; \sf{\dfrac{\cancel{21000}}{\cancel{27000}} }$

$\longrightarrow \; \boxed{\sf{\dfrac{7}{9}}}$

   

The profit will be shared in the ratio 7:9

   

We know that the profit is 4800 rupees

• Given

Let sandeep's profit be 7x & Manish's be 9x

$\longrightarrow \; \sf{ 7x + 9x = 4800 }$

$\longrightarrow \; \sf{ 16x = 4800 }$

$\longrightarrow \; \sf{ x = \dfrac{\cancel{4800}}{\cancel{16}}}$

$\longrightarrow \; \boxed{\sf{ x = 300 }}$

   

So therefore,

7x = 7 x 300 = 2100

9x = 9 x 300 = 2700

   

Therefore their profit is 2100 and 2700 rupees respectively.

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