Rupees 1000 consists of one-rupee and two-rupee coins in the ratio 4:3. Find the number of 2-rupee coins.

Given :

Rs. 1000 consists of one-rupee and two-rupee coins in the ratio 4:3.

To do :

We have to find the number of 2 rupee coins.

Solution :

Let the number of one-rupee coins be 4x and the number of two-rupee coins be 3x.

Therefore,

$Rs. 4x(1) + Rs. 3x(2) = Rs. 1000$

$4x+6x = 1000$

$10x = 1000$

$x = \frac{1000}{10}$

$x = 100$

The number of one-rupee coins $= 4(100) = 400$.

The number of two-rupee coins $= 3(100) = 300$.

Therefore, the number of 2 rupee coins is 300.

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Updated on: 10-Oct-2022

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