Question
In the question, two Quantities I and II are given. You
have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Bhuvan alone can complete a task in 11.25 days. Anuj and Bhuvan together can complete the same task in 5 days. Charu alone can complete 20% of the same task in 3.6 days. Quantity I: Amount of work completed by Anuj alone in 4 days. Quantity II: Amount of work completed by Bhuvan and Charu together in 3 days.Solution
ATQ, Let Anuj, Bhuvan and Charu be defined as A, B and C. Let the total work = 90 units (L.C.M of 11.25 and 3.6) Then, the efficiency of ‘B’ = 90 ÷ 11.25 = 8 units/day The combined efficiency of ‘A’ and ‘B’ = 90 ÷ 5 = 18 units/day So, the efficiency of ‘A’ = 18 – 8 = 10 units/day Number of days taken by ‘C’ alone to complete the entire work = 3.6 × 5 = 18 days Therefore, the efficiency of ‘C’ alone = 90 ÷ 18 = 5 units/day Quantity I: Work done by ‘A’ alone in 4 days = 10 × 4 = 40 units So, Quantity I = 40 units Quantity II: Work done by ‘B’ and ‘C’ together in 3 days = (8 + 5) × 3 = 39 units So, Quantity II = 39 units Therefore, Quantity I > Quantity II
A, B and C invested in partnership. A invest Rs.8000 for 6 months, B invests Rs.5000 for 4 months and C invests Rs.12000 for 3 months. C is working part...
A and B started a retail store with initial investments in the ratio 6:7 and their annual profits were in the ratio 3:4. If A invested the money for 7 m...
Pawan and Qureshi started a business where Qureshi’s investment was 62.5% of Pawan’s investment. After 5 months, Pawan withdr...
A invested Rs. X in a business. After four months B Joined him with Rs. 2X and A double his investment. If at the end of the years total profit i...
Calculate Amit's share of the profit if Amit and Bishnu invested their capital for 6 months and 7 months, respectively, in a ratio of 6:5, and the total...
‘A’ invested Rs. 7800 for ‘x’ months while ‘B’ invested Rs. 1300 less amount than ‘A’ for (x + 3) months...
‘A’, ‘B’ and ‘C’ started a business by investing Rs. 4500, Rs. 5000 and Rs. 3000, respectively. After 4 months, ‘B’ left and ‘A’ and...
'E' and 'F' enter into a partnership by investing Rs. 6,000 and Rs. 'z', respectively. Ten months later, 'E' doubled his investment, while 'F' withdrew ...
A and B together started a business with initial investment in the ratio of 1:2, respectively. The time-period of investment for A and B is in th...
A and B started a retail store with initial investments in the ratio 7:8 and their annual profits were in the ratio 2:3. If A invested the money for 8 m...