Multiple choice

The daily wages of A & B respectively are Rs. 3.5 & Rs. 2.5. When A finishes a certain work alone, he gets a total wages of Rs. 63. When B does the same work alone, he gets a total wages Rs. 75. If both of them do it together what is the cost of the work ? A और B की दैनिक मजदूरी क्रमशः 3.5 रू. और 2.5 रू. है। जब । अकेले कार्य समाप्त कर लेता है तो उसे कुल रू. 63 मजदूरी के रूप में मिलते है। जब B अकेले उसी कार्य को समाप्त करता है। तो मजदूरी के रूप में 75 रू. मिलते हैं। यदि वे दोनों एक साथ मिलकर वही कार्य करें तो कुल कार्य की लागत मूल्य क्या आयेगी ?

  1. Rs. 67.5

  2. Rs. 87.5

  3. Rs. 57.5

  4. Rs. 62.5

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's daily wage = Rs. 3.5, total wage = Rs. 63, so A's time = 63/3.5 = 18 days. B's daily wage = Rs. 2.5, total wage = Rs. 75, so B's time = 75/2.5 = 30 days. When working together, combined daily wage = 3.5 + 2.5 = Rs. 6. Their combined rate: (1/18 + 1/30) = (5+3)/90 = 8/90 of work per day. Time together = 1 / (8/90) = 90/8 = 11.25 days. Total cost = 11.25 * 6 = Rs. 67.5. Option A is correct.