Question

The ratio of 25p coins, 50p coins and 1rupee coins are in the ratio 4:2:3. The total money in the bag is ₹840. Find the number of 25p, 50p and 1rupee coins.​

Answer 1

$\huge\mathfrak\green{ }\huge\mathfrak\pink{Question}$

The ratio of 25p coins, 50p coins and 1rupee coins are in the ratio 4:2:3. The total money in the bag is ₹840. Find the number of 25p, 50p and 1rupee coins.

$\huge\colorbox{purple}{Answer}$

$\sf Amount \: of \: 50p \: coin \\ = 60 \times 4 \times 50\\ = 12000 \: paisa \\ = Rs. 120$

$\sf Given: Denominations \: of \: coins= 25p, 50p \: and Rs. 1$

_____________________________________

$\sf let$

$\sf ⇒: Number \: of \: 25p \: coins = 8x$

$\sf ⇒: Number \: of \: 50p \: coins = 4x$

$\sf ⇒: Number \: of \: Rs. 1 \: coins = 2x$

$\sf According \: to \: the \: Question$

$8x + 4x + 2x = 840$

$14x = 840 , x= \frac{840}{14}$

$x = 60$

$\sf So, \: Amount \: of \: 25p \: coin \\ = 60 \times 8 \times 25 \\ = 12000 \: paisa \\ = Rs. 120$

$\sf Amount \: of \: 50p \: coin \\ = 60 \times 4 \times 50 \\ = 12000 paisa \\ = Rs. 120$

$\sf Amount \: of \: Rs. 1 coin \\ = 60 × 2 \times 1 \\ = Rs. 120$

$\sf \bold { Total Amount = 120 + 120 + 120 = Rs. 360 }$

$\sf \bold \pink { ∴Therefore, c }$