Question
Five friends ('P', 'Q', 'R', 'S', and 'T') went to a cafe
and their bill was Rs. 2,000. 'P' paid 1/4th of what the other four paid combined. 'Q' paid 30% less than what 'P' paid. 'R', 'S', and 'T' equally shared the remaining amount, which was Rs. 10 more than what 'P' paid. Find the amount paid by 'Q'.Solution
ATQ,
Let the amount paid by 'P' be Rs. 'n'.
Then, the total amount paid by 'Q', 'R', 'S', and 'T' = 3n.
So, we set up the equation:
n + 3n = 2000
4n = 2000
n = 500.
Now, amount paid by 'Q' = 500 - (0.30 Γ 500) = 500 - 150 = Rs. 350.
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