Question

the price of a bat and an umbrella is rupees 500 the cost of the bag is rupees 150 more than that of the umbrella find the cost of each one the answer in the algebraic form

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Answer 1

$\red{\bigstar}$ Cost of

Bat $\large\leadsto\boxed{\tt\purple{Rs. 325}}$

Umbrella $\large\leadsto\boxed{\tt\purple{Rs. 175}}$

• Given:-

Price of bat and umbrella is Rs. 500

Cost of the bat is Rs. 150 more than that of umbrella

• To Find:-

Cost of bat and umbrella.

• Solution:-

Let the cost of the bat be 'x' and cost of the umbrella be 'y'.

• According to the question:-

Price of bat and umbrella is Rs. 500

Therefore,

$\pink{\bigstar}$ $\bf{x + y = 500} \dashrightarrow\bf\red{[eqn.i]}$

Also,

The cost of bat is Rs. 150 more than that of umbrella.

We know, Cost of umbrella is y and of bat is x.

Hence,

$\pink{\bigstar}$ $\bf{x = y+150} \dashrightarrow\bf\red{[eqn.ii]}$

• Substituting the eqn.[ii] in eqn.[i]:-

→ $\sf x+y = 500$

→ $\sf y+150 + y = 500$

→ $\sf 2y + 150 = 500$

→ $\sf 2y = 500-150$

→ $\sf 2y = 350$

→ $\sf y = \dfrac{350}{2}$

$\pink{\bigstar}$ $\large{\tt\blue{y = 175}}$

• Substituting the value of y in eqn.[i]:-

→ $\sf x + y = 500$

→ $\sf x + 175 = 500$

→ $\sf x = 500 - 175$

$\pink{\bigstar}$ $\large{\tt\blue{x = 325}}$

Therefore, the cost of bat is Rs. 325 and the cost of umbrella is Rs. 175.

$\red{\bigstar}$ Verification:-

→ $\sf 175 + 325$

→ $\sf 500$

★ HENCE VERIFIED★

Answer 2

$\red{\bigstar}$ Cost of Bat $\large\leadsto\boxed{\tt\purple{Rs. 325}}$

$\red{\bigstar}$ Cost of Umbrella $\large\leadsto\boxed{\tt\purple{Rs. 175}}$

• Given:-

• Price of bat and umbrella is Rs. 500

• Cost of the bat is Rs. 150 more than that of umbrella

• To Find:-

• Cost of bat and umbrella.

• Solution:-

• Let the cost of the bat be 'x' and cost of the umbrella be 'y'.

• According to the question:-

Price of bat and umbrella is Rs. 500

Therefore,

$\pink{\bigstar}$ $\bf{x + y = 500} \dashrightarrow\bf\red{[eqn.i]}$

Also,

The cost of bat is Rs. 150 more than that of umbrella.

We know, Cost of umbrella is y and of bat is x.

Hence,

$\pink{\bigstar}$ $\bf{x = y+150} \dashrightarrow\bf\red{[eqn.ii]}$

• Substituting the eqn.[ii] in eqn.[i]:-

→ $\sf x+y = 500$

→ $\sf y+150 + y = 500$

→ $\sf 2y + 150 = 500$

→ $\sf 2y = 500-150$

→ $\sf 2y = 350$

→ $\sf y = \dfrac{350}{2}$

$\pink{\bigstar}$ $\large{\tt\blue{y = 175}}$

• Substituting the value of y in eqn.[i]:-

→ $\sf x + y = 500$

→ $\sf x + 175 = 500$

→ $\sf x = 500 - 175$

$\pink{\bigstar}$ $\large{\tt\blue{x = 325}}$

Therefore, the cost of bat is Rs. 325 and the cost of umbrella is Rs. 175.

$\red{\bigstar}$ Verification:-

→ $\sf 175 + 325$

→ $\sf 500$

★ HENCE VERIFIED ★