Question

Divide Rs 200 in the sation & 2:3​

Answer 1

Correct question:

Divide ₹200 in the ratio of 2:3.

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Solution:

$\bigstar \sf {Let\ x\ be\ the\ common\ multiple.}$

• First part = 2x
• Second part = 3x

So,

$\implies \sf{2x + 3x = 200}$

$\implies \sf{5x = 200}$

$\implies \sf {x= \dfrac {200}{5}}$

$\boxed {\bf {\red {x=40}}}$

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Verification:

On substituting the value of x as 40 in the equation,

$\implies \sf{2x + 3x = 200}$

$\implies \sf{2 \times 40 + 3 \times 40 = 200}$

$\implies \sf{80 + 120 = 200}$

$\implies \sf {200 = 200}$

LHS = RHS

Hence Verified!

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Final answer:

• First part = 2x

= ₹(2×40)

= ₹80

• Second part = 3x

= ₹(3×40)

= ₹120

₹200 divided in the ratio of 2:3 will be ₹80 and ₹120.

Answer 2

SOLUTION

TO DETERMINE

Divide Rs 200 in the ratio 2 : 3

EVALUATION

We have to divide Rs 200 in the ratio 2 : 3

Here the given ratio is 2 : 3

$\displaystyle \sf{First \: \: share \: \: = \frac{2}{2 + 3} = \frac{2}{5} }$

$\displaystyle \sf{Second \: \: share \: \: = \frac{3}{2 + 3} = \frac{3}{5} }$

$\displaystyle \sf{First \: \: amount \: = 200 \times \frac{2}{5} = 80 }$

$\displaystyle \sf{Second \: amount \: \: =200 \times \frac{3}{5} = 120 }$

FINAL ANSWER

First amount = Rs 80

Second Amount = Rs 120

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