Arithmetic

Ratio, Proportion & Variation

Easy

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?

220

440

None of these

✅ 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 = $8x = 8 \times 55 = 440$

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