A bought a bag and a bottle for a total on ₹900. He sold the bottle at a profit of 12% and the bag at a profit of 20%. If he earned a total profit of ₹160.80, then calculate the cost price of the bottle.
Answer & explanation
Correct answer: option 4
Cost price of bag and bottle = 900
Bottle profit = 12%
Bag profit = 20%
Overall profit = 160.80
Overall profit = 160.80 × \(\frac{100}{900}\) = \(\frac{268}{15}\) %
Applying alligation,
12% 20%
\(\frac{268}{15}\) %
Multiply 15 in both 12% and 20% for eliminating 15 from \(\frac{268}{15}\) %
180% 300%
268%
32 88
Total = 32 + 88 = 126
120x = 900
32x = 240