Question : Out of the total toffees, $\frac{1}{10}$ are wasted. 35% of the rest are given to S and $\frac{1}{8}$ of the total are given to N. If the toffees with N are 10 more than the wasted toffees, how many toffees were given to S?
Option 1: 126
Option 2: 150
Option 3: 110
Option 4: 135
Correct Answer: 126
Solution :
Let the number of toffees be $x$.
$\frac{1}{10}$th of them are wasted.
Remaining toffees $ = \frac{9}{10}x$
Number of toffees given to S = $\frac{35}{100} \times\frac{9}{10}x = \frac{63}{200}x$
Number of toffees given to N = $\frac{1}{8}x$
According to the question,
$\frac{1}{8}x = 10 + \frac{1}{10}x$
⇒$\frac{1}{8}x-\frac{1}{10}x=10$
⇒$\frac{5x–4x}{40}=10$
⇒$x = 400$
Number of toffees given to S = $\frac{63}{200} \times 400 = 126$
Hence, the correct answer is 126.
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