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

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375, 600 and 300

675, 500 and 300

575, 600 and 300

275, 400 and 200

answer is A.

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Detailed Solution

Given,
The bag has total amount =Rs 750
The ratio is 5:8:4,
Let
Total Rupees coin = 5x,
Total 50 paisa coin = 8x Total 25 paisa coin = 4x Thus,

5 x \times 1 + 4 x \times 0.25 + 8 x \times 0.50 = 750

5 x + 4 x + x = 750

10 x = 750

x = \frac{750}{10}

x = 75

Therefore,
Total Rupees coin = 5 × 75 = 375
Total 50 paisa coin = 8 × 75 =600
Total 25 paisa coin= 4 × 75 =300
Option 1 is correct.

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