Question

Divide Rs.275 among Reema and Shyam in the ratio 4 : 7. What will be the share of Reema and share of Shyam.​

Answer 1

Answer:

Reema's share= rs.100

Shyam's share= rs.175

Answer 2

$\underline{ \underline{ \Large \pmb{\sf { {Answer:}} }} }$

• Share of Reema = 100
• Share of Shyam = 175

$\underline{ \underline{ \Large \pmb{\sf { {Given:}} }} }$

• Total amount = Rs. 275

• Share divided between Reema and Shyam is in the ratio of 4:7.

$\underline{ \underline{ \Large \pmb{\sf { {To \: calculate:}} }} }$

• Share of Reema and share of Shyam.

$\underline{ \underline{ \Large \pmb{\sf { {Calculation:}} }} }$

Let the share of Reema and Shyam be 4x and 7x respectively. Here, x is the constant natural number.

According to the question,

$\longrightarrow \bf {Reema's \: Share + Shyam's \: share = Rs. \: 275 }$

$\longrightarrow \bf {4x + 7x = 275 }$

$\longrightarrow \bf {11x = 275 }$

$\longrightarrow \bf {x = \dfrac{275}{11} }$

$\longrightarrow \bf \red {x = 25 }$

Henceforth,

$\longrightarrow \bf {Reema's \: Share = Rs. \: 4x }$

$\longrightarrow \bf {Reema's \: Share = Rs. \: 4(25) }$

$\longrightarrow \bf \red{Reema's \: Share = Rs. \: 100 }$

And,

$\longrightarrow \bf {Shyam's \: Share = Rs. \: 4x }$

$\longrightarrow \bf {Shyam's \: Share = Rs. \: 7(25) }$

$\longrightarrow \bf \red{Shyam's \: Share = Rs. \: 175 }$

$\underline{ \underline{ \Large \pmb{\sf { {Verification:}} }} }$

In the question it is stated that Rs.275 is divided among Reema and Shyam in the ratio 4 : 7. So,

$\longrightarrow \bf {Reema's \: Share + Shyam's \: share = Rs. \: 275 }$

LHS:

$\longrightarrow \bf {Reema's \: Share + Shyam's \: share }$

$\longrightarrow \bf {Rs. \: (4x + 7x )}$

$\longrightarrow \bf {Rs. \: 11x ) }$

$\longrightarrow \bf {Rs. \: 11(25) }$

$\longrightarrow \bf \red{Rs. \: 275}$

RHS:

$\longrightarrow \bf \red{Rs. \: 275}$

Therefore, LHS = RHS.

Hence, verified!