Question
A shopkeeper purchased two rice bags, 'Brown Rice' and
'Basmati,' and sold them at identical prices. The bag of 'Brown Rice' was sold with a 20% profit, while the 'Basmati' bag was sold for a profit of Rs. 2925, resulting in an overall profit of 12.5% for the entire transaction. Given that the ratio of the cost price of 'Brown Rice' to that of 'Basmati' is 4:5, determine the cost price of the 'Brown Rice' bag.Solution
ATQ, Let, the cost price of Bag 'Brown rice' be Rs. '160x'. So, the cost price of Bag 'Basmati rice' = (5/4) × 160x = Rs. '200x' So, the selling price of Bag 'Basmati' = Rs. 200x + 2925 The total cost price of both the Bags = 160x + 200x = Rs. '360x' So, the total selling price of both the Rice bags = 1.125 × 360x = Rs. '405x' Selling price of Bag 'Brown rice' = 1.2 × 160x = Rs. '192x' So, the selling price of Bag 'Basmati rice' = 405x - 192x = 200x + 2925 Or, 213x - 200x = 2925 OR, 13x = 2925 Or, x = (2925/13) So, x = 225 Let, the cost price of Bag 'Brown rice' be Rs. '160x'. So, the cost price of Bag 'Basmati' = (5/4) × 160x = Rs. '200x' So, the selling price of Bag 'Basmati' = Rs. 200x + 2925 The total cost price of both the Bags = 160x + 200x = Rs. '360x' So, the total selling price of both the Bags = 1.125 × 360x = Rs. '405x' Selling price of Bag 'Brown rice' = 1.2 × 160x = Rs. '192x' So, the selling price of Bag 'Basmati' = 405x - 192x = 200x + 2925 Or, 213x - 200x = 2925 OR, 13x = 2925 Or, x = (2925/13) So, x = 225 The cost price of Bag 'Brown rice' = 160x = 160 × 225 = Rs.36,000
P alone can finish a piece of work ‘M’ in 6 days while Q takes 3 days to finish it alone. P, Q and R working together can finish the work &l...
- Person A is twice as efficient as Person B. Person B can complete a certain task in 32 days, while Person C takes 4 days more than Person A to finish the s...
‘A’ can do a piece of work in 15 days. ‘B’ can do 70% of the same work in 20 days. If they work together for the entire time and...
Person A is 80% more efficient than person B. A and B together can complete a certain task in 10 days, while B and C together can complete the same task...
'A' and 'B' can do a piece of work together in 30 days. They worked together for 18 days, and then left the work. The remaining job was finished by 'C' ...
A can complete a piece of work in 24 days. He worked for 21 days and then B finished the remaining work in 6 days. In how many days can A and B finish t...
Vijay can do a piece of work in 10 days and Sanjay can do the same work in 15 days. If Vijay works for 4 days and got Rs. 1680, and the remaining work w...
- 'Amit', 'Ravi', and 'Neha' can finish a piece of work in 66, 99, and 132 days respectively. They all started the work, but Amit left 8 days before the work...
- Ritu completes 50% of a project in 25 days, while Sheetal completes 40% in 32 days. Ritu works for 30 days and then stops. Find the time Sheetal needs to f...
X can do a piece of work in 22 days. He worked at it for 11 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?
Relevant for Exams:
