Ex.3. A box contains 1-rupee, 50-pa...
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Ex.3. A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8:5:3. If the total amount of money in the box is Rs. 112.50, the number of 50-paise coins is (1) 80 (2) 50 (3) 30 (4) 42

11th - 12th Class
Maths
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Sol. (2) Ratio of number of 1 rupee, 50-paise and 25 paise coins ( =8: 5: 3 ) Ratio of their respective values ( =8: frac{5}{2}: frac{3}{4}=32: 10: 3 ) Sum of the ratios ( =32+10+3=45 ) Value of 50 paise coins ( = ) Rs. ( left(frac{10}{45} times 112.5right)= ) Rs. 25 ( therefore ) Number of 50 paise coins ( =25 times 2=50 )
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