Question
Akshay, Vishal and Dipak purchased 2, 20 and 50
notebooks for a total of Rs 16, Rs 140 and Rs 400 respectively from a stationery shop. In his transaction with Akshay and Dipak, the shopkeeper made a profit of p% and q% respectively such that p = 3q.How much approximate profit/loss% did the shopkeeper make in his transaction with Vishal? (Assume that the shopkeeper bought each note book at the same price)Solution
Purchased price of 1 note book by Akshay = 16/2 = 8 Rs. Purchased price of 1 note book by Vishal = 140/20 = 7 Rs. Purchased price of 1 note book by Deepak = 400/50 = 8 Rs. So Let cost price of 1 note shopkeeper = x So profit in transaction with Akshay = 8 – x Profit in transaction with Deepak = 8 – x So As per question, (8-x)/(8-x) = p/q = 3 8 – x = 24 – 3 x or 2x = 16 or x = 16/2 = 8 So now in transaction with Vishal, loss% = (8-7)/7×100=1/7×100=14.28%~14%
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