In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
A: 
In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
A: 
user
A: The correct option is a) s 1200.

Explanation: 

Let's break down the problem step by step:

1. The ratio of money distribution among Faruk, Vasim, and Ranjith is 3:5:8.
2. Vasim's share is Rs. 1500, which corresponds to the 5 parts in the given ratio.

To find the value of 1 part:

Vasim's share (Rs 1500) divided by the 5 parts (ratio) = Rs 1500 / 5 = Rs 300

Now we can find the shares for Faruk and Ranjith:

Faruk's share = 3 parts × Rs 300 = Rs 900
Ranjith's share = 8 parts × Rs 300 = Rs 2100

The difference between Faruk's and Ranjith's shares: 

Rs 2100 (Ranjith's share) - Rs 900 (Faruk's share) = Rs 1200 (Option a)
assistant
Option c) s 1600

To find the difference between Faruk's and Ranjith's shares, we first need to calculate their individual shares based on the given ratio and Vasim's share of Rs. 1500.

Let's represent the ratio as 3x : 5x : 8x, where x represents the common unit of the shares.

Faruk's share = (3/16) x (total amount)
Vasim's share = (5/16) x (total amount) = Rs. 1500
Ranjith's share = (8/16) x (total amount)

To find the total amount, we can set up a proportion using the given ratio and Vasim's share:

(3/16) : (5/16) : (8/16) = Rs. 1500 : x

Simplifying, we get:

3x/16 = (1500/5)
x = (1500/5) x (16/3) = Rs. 1600

Now, to find the difference between Faruk's and Ranjith's shares, we subtract their individual shares:

Faruk's share = (3/16) x Rs. 1600 = Rs. (3/2) x 100 = Rs. 150
Ranjith's share = (8/16) x Rs. 1600 = Rs. (2/1) x 100 = Rs. 1600

Difference = Rs. 1600 - Rs. 150 = Rs. 100

Therefore, the correct option is c) Rs. 1600.
In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
A: 
user
A: The correct option is a) s 1200.

Explanation: 

Let's break down the problem step by step:

1. The ratio of money distribution among Faruk, Vasim, and Ranjith is 3:5:8.
2. Vasim's share is Rs. 1500, which corresponds to the 5 parts in the given ratio.

To find the value of 1 part:

Vasim's share (Rs 1500) divided by the 5 parts (ratio) = Rs 1500 / 5 = Rs 300

Now we can find the shares for Faruk and Ranjith:

Faruk's share = 3 parts × Rs 300 = Rs 900
Ranjith's share = 8 parts × Rs 300 = Rs 2100

The difference between Faruk's and Ranjith's shares: 

Rs 2100 (Ranjith's share) - Rs 900 (Faruk's share) = Rs 1200 (Option a)
assistant
In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
A: 
user
Option c) s 1600

To find the difference between Faruk's and Ranjith's shares, we first need to calculate their individual shares based on the given ratio and Vasim's share of Rs. 1500.

Let's represent the ratio as 3x : 5x : 8x, where x represents the common unit of the shares.

Faruk's share = (3/16) x (total amount)
Vasim's share = (5/16) x (total amount) = Rs. 1500
Ranjith's share = (8/16) x (total amount)

To find the total amount, we can set up a proportion using the given ratio and Vasim's share:

(3/16) : (5/16) : (8/16) = Rs. 1500 : x

Simplifying, we get:

3x/16 = (1500/5)
x = (1500/5) x (16/3) = Rs. 1600

Now, to find the difference between Faruk's and Ranjith's shares, we subtract their individual shares:

Faruk's share = (3/16) x Rs. 1600 = Rs. (3/2) x 100 = Rs. 150
Ranjith's share = (8/16) x Rs. 1600 = Rs. (2/1) x 100 = Rs. 1600

Difference = Rs. 1600 - Rs. 150 = Rs. 100

Therefore, the correct option is c) Rs. 1600.
assistant