Question

divide the amount rs 3000 among arun and varun in the ratio 7:8​

Answer 1

Before, finding the answer. Let's find out on how we can find the answer.

• First, we have to add both the Ratios.
• Then, we must divide the total ratio with the total amount.
• Then, we must multiply the divided amount with the ratio.

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Given :

• Total Amount = Rs. 3000
• Ratio = 7:8

To :

• divide the money between Arun and Varun

Solution :

Total Ratio = 7:8

                  = 7 + 8

                  = 15

x = $\sf \dfrac{Total \: Amount }{Total \: Ratio }$

$\sf = \dfrac{3000}{15 }$

$\sf = 200$

Hence,  1 part is Rs. 200.

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Arun = 1 part × 7

        = 200 × 7

        = Rs. 1400

Hence, Arun gets Rs. 1400.

Varun = 1 part × 8

          = 200 × 8

          = 1600 Hence, Varun gets Rs. 1600

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⇔ Verification :

• If you add both the amount of Varun and Arun. You get the total Amount.

• L.H.S =

Total Amount = Varun + Arun

                       = 1600 + 1400

                       = 3000

• RHS = 3000.

Hence, LHS = RHS.