The average monthly income of Rakesh and Suresh is Rs. 5050. The average monthly income of Suresh and Ramesh is Rs. 6250 and the average monthly income of Rakesh and Ramesh is Rs. 5200. What is the monthly income of Rakesh?
| Question | The average monthly income of Rakesh and Suresh is Rs. 5050. The average monthly income of Suresh and Ramesh is Rs. 6250 and the average monthly income of Rakesh and Ramesh is Rs. 5200. What is the monthly income of Rakesh? | |
| Type | multiple_choice | |
| Option | 3000 | incorrect |
| Option | 6000 | incorrect |
| Option | 4000 | correct |
| Option | 2500 | incorrect |
| Solution | Rakesh +Suresh (total income) = 5050 x 2 = 10100…. (i) Suresh +Ramesh (total income) = 6250 x 2 = 12500…. (ii) Rakesh+ Ramesh (total income) = 5200 x 2 = 10400…. (iii) Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500…. (iv) Subtracting (ii) from (iv), we get P = 4000. So, Rakesh’s monthly income = Rs. 4000. | |