Question

There are Rs.300 in a box in denomination of Rs.1, 50 paisa and 25 paisa and in the ratio 2:4:8. Find the number of coins of 25 paisa. ​

Answer 1

$\sf\large\underline{Given:}$

• $\rm{Total\: amount=Rs.300}$
• $\rm{The\: ratio\:of\: coins=2:4:8}$
• $\rm{Denomination\:in\:box=Rs.1,\:50P,\:and\:25P}$

$\sf\large\underline{To\: Find:}$

• $\rm{The\: Number\:of\:25P\: coins=?}$

$\sf\large\underline{Solution:}$

• At first convert the coins into rupees than calculate the number of each coin's]

$\rm{\implies Let,\:the\:number\:of\:all coins\:be\:x}$

$\rm{\implies The\: Number\:of\:Rs.1\: coins=2x}$

$\rm{\implies The\: Number\:of\:50\: coins=4x}$

$\rm{\implies The\: Number\:of\:25P\: coins=8x}$

$\sf\large\underline{A.T.Q:}$

$\rm{\implies The\:sum\:of\value\:of\:all\: coins=Total\: amount}$

$\rm{\implies 1\times\:2x+\dfrac{50}{100}\times\:4x+\dfrac{25}{100}\times\:8x=300}$

$\rm{\implies 2x+\dfrac{4x}{2}+\dfrac{8x}{4}=300}$

$\rm{\implies \dfrac{8x+8x+8x}{4}=300}$

$\rm{\implies \dfrac{24x}{4}=300}$

$\rm{\implies 24x=300\times\:4}$

$\rm{\implies 24x=1200}$

$\rm{\implies x=50}$

$\sf\large{Hence,}$

$\rm{\implies The\: Number\:of\:25P\: coins=8\times\:50=400\: coins}$

Answer 2

Answer:

400 coins

Step-by-step explanation: