A faulty weighing machine reads 1 kg when 900 gm is weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately, he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on cost price for a month. If each customer is now paying 220 for 1 kg, then before the raid amount, they have paid for the same quantity.
a) 28.20
b) 27.16
c) 25.25
d) 20.20
Sol:
It is given that initially, weighing machine weighs 900 gm instead of 1000 gm So, it means shopkeeper earns 100 gm profit on selling 900 gm goods
⇒ Profit % = Profit/C.P. × 100
⇒ Profit% = 100/900 × 100 = 11.11%
So, he earns this by alteration of weight along with he marked up the price by 10% Means his overall profit can be calculated by successive
Overall profit = 11.11 + 10 + (11.11 × 10)/100 = 22.22% But , now the shopkeeper sells the goods at Rs20 per kg after giving 10% discount Actual Cost price of 1kg sugar = 100 /(100 – 10) × 20 = 100/90 × 20 = Rs22.22 And earlier shopkeeper was selling at 22,22% profit So, Selling price = (100 + 22.22) /100 × 22.22 ⇒ 122.22/100 ×22.22 = Rs27.157 ≈ Rs27.16 ( rounded off to two places of decimals) Hence, they have paid ₹27.16 for the same quantity .