If there are Rs 495 in a bag in denominations of one-rupee, 50 paisa and 25 paisa coins, which are in the ratio 1 : 8 : 16. How many 50 paisa coins are there in the bag?
Solution
✅ Correct Option: 3
Let number of one-rupee coins be $x$ Then: 50 paisa coins = $8x$ (as ratio is $1:8$) 25 paisa coins = $16x$ (as ratio is $1:8:16$) Converting all to paisa: One-rupee coins = $x \times 100$ paisa 50 paisa coins = $8x \times 50$ paisa 25 paisa coins = $16x \times 25$ paisa Total in paisa = $49500$ (as total is Rs $495$) Therefore: $100x + 400x + 400x = 49500$ $900x = 49500$ $x = 55$ Number of 50 paisa coins = $8x = 8 \times 55 = 440$