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A box contains 280 coins of one rupee, 50 paise and 25 paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is
Answer & Solution
Correct Answer:
Option
C
\[\begin{array}{*{20}{c}}
{}&{{\text{Rs}}{\text{. 1}}}&:&{50\,{\text{Paise}}}&:&{25{\text{ Paise}}} \\
{{\text{Value of coins}}}&{8x}&:&{4x}&:&{3x} \\
{{\text{Number of coins}}}&{8x \times 1}&:&{4x \times 2}&:&{3x \times 4} \\
{}&{8x}&:&{8x}&:&{12x}
\end{array}\]
∴ Total coins ⇒ 8x + 8x + 12x = 28x
28x = 280 (Given)
x = \[\frac{{280}}{{28}}\] = 10
∴ Number of 50 paise coins are = 8x = 8 × 10 = 80
∴ Total coins ⇒ 8x + 8x + 12x = 28x
28x = 280 (Given)
x = \[\frac{{280}}{{28}}\] = 10
∴ Number of 50 paise coins are = 8x = 8 × 10 = 80
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