Home
Class 14
MATHS
A earns Rs 80 per hour and works for 8 h...

A earns Rs 80 per hour and works for 8 hours a day. B earns Rs 60 per hour and works for 6 hours a day . What is the ratio of per day wages of A and B ?

A

`16 : 5`

B

`9 : 10`

C

`16 : 9`

D

`5: 16`

Text Solution

AI Generated Solution

The correct Answer is:
To find the ratio of the daily wages of A and B, we can follow these steps: ### Step 1: Calculate A's daily wages A earns Rs 80 per hour and works for 8 hours a day. \[ \text{A's daily wages} = \text{Hourly rate} \times \text{Hours worked} \] \[ \text{A's daily wages} = 80 \, \text{Rs/hour} \times 8 \, \text{hours} = 640 \, \text{Rs} \] ### Step 2: Calculate B's daily wages B earns Rs 60 per hour and works for 6 hours a day. \[ \text{B's daily wages} = \text{Hourly rate} \times \text{Hours worked} \] \[ \text{B's daily wages} = 60 \, \text{Rs/hour} \times 6 \, \text{hours} = 360 \, \text{Rs} \] ### Step 3: Find the ratio of A's wages to B's wages Now, we will find the ratio of A's daily wages to B's daily wages. \[ \text{Ratio of A's wages to B's wages} = \frac{\text{A's daily wages}}{\text{B's daily wages}} = \frac{640}{360} \] ### Step 4: Simplify the ratio To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 640 and 360 is 80. \[ \frac{640 \div 80}{360 \div 80} = \frac{8}{4.5} = \frac{16}{9} \] ### Final Answer Thus, the ratio of the per day wages of A and B is: \[ \text{Ratio} = 16:9 \] ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A earns Rs. 80 per hour and work for 8 hours a day. B. earns Rs. 60 per hour and works for 6 hours a day. What is the ratio of per day wages of a and B?

A earns Rs 180 per hour and works for 7 hours per day. B earns Rs. 160 per hour and works for 5 hours per day. what is the ratio of per day wages of A and B? / A 180 रुपये प्रति घंटे कमाता है तथा एक दिन में 7 घंटे कार्य करता है | B 160 रुपये प्रति घंटे कमाता है और प्रतिदिन 5 घंटे कार्य करता है | A और B के दैनिक वेतन का अनुपात क्या है ?

A earns Rs. 100 per hour and works for 8 hours per day. B earns Rs. 120 per hour and works for 6 hours per day. The ratio of per day wages of B to that of A is : A 100 रुपये प्रति घंटे कमाता है तथा दिन में 8 घंटे कार्य करता है | B 120 रुपये प्रति घंटे कमाता है और प्रतिदिन 6 घंटे कार्य करता है |B और A के दैनिक वेतन में क्या अनुपात है ?

A earns Rs 40 per hour and works for 12 hours. B earns Rs 60 per hour and works for 10 hours. Find the ratio of their per day wages. A 40 रुपये प्रति घंटा कमाता है तथा 12 घंटे कार्य करता है |B 60 रुपये प्रति घंटा कमाता है तथा 10 घंटे कार्य करता है | उनकी प्रतिदिन मजदूरी का अनुपात ज्ञात करें |

A earns ₹640 per day and works for 8 hours per day. B earns ₹360 per day and works for 6 hours per day. The ratio of per day wages of B to that of A is

A earns ₹640 per day and works for 8 hours per day. B earns ₹360 per day and works for 6 hours per day. The ratio of per day wages of B to that of A is: A प्रतिदिन ₹640 कमाता है और 8 घंटे काम करता है। B प्रतिदिन ₹360 कमाता है और 6 घंटे काम करता है। B और A की प्रतिदिन की मजदूरी का अनुपात हैः

A earns Rs. 640 per day and works for 8 hours. B earns Rs. 360 per day and works for 6 hours. The ratio of per day wages of A to that of B is : A हर दिन 640 रुपये कमाता है तथा 8 घंटे कार्य करता है | B हर दिन 6 घंटे कार्य करके 360 रुपये कमाता है | A और B के दैनिक वेतन का अनुपात ज्ञात करें|