Book Maths Puzzle

Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P.

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Book Other Question

If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased? On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?