Question

A bag contains 750 rs in the form of rupee,50P and 25P coins in the ratio 5:8:4 . Find the number of coins of each type

Answer 1

convert 750rs into paise =75000ps
let
5x (100ps):8x (50ps):4x (25ps)
i.e..(500x)+(400x)+(100x)=75000
1000x=75000
x=75
hence one rupee coins =375
50ps coins=600
25ps coins=300

Answer 2

$\boxed{\bold{\large{Answer:}}}$

$\text{Total\:amount\:in\:the\:bag\:=\:750Rs}$

$\text{Let\:the\:ratios\:be\:5x\:8x\:and\:4x}$

$\text{According\:to\:the\:question,}$

$\implies \: (5 \times 1) + (8 \times 0.5) + (4 \times 0.25) = 750 \\ \\ \implies5x + 4x + x = 750 \\ \\ \implies10x = 750 \\ \\ \implies \: x = \frac{750}{10} \\ \\ \implies \: x = 75$

$\text{Thus,}$

$5x = 5 \times 75 = 375 \\ \\ 8x = 8 \times 75 = 600 \\ \\ 4x = 4\times 75 = 300$

$\text{No.\:of\:coins\:in\:Rupee\:=\:375}$

$\text{No.\:of\:coins\:in\:50\:paisa\:=\:600}$

$\text{No.\:of\:coins\:in\:25\:paisa\:=\:300}$

$\boxed{\bold{\large{Hope\:it\:helps\:you!}}}$