Question

If ₹195 is distributed among Ram, Mohan and Shyam in such a manner that Mohan gets ₹7 less than Ram and Shyam gets ₹22 more than Ram, then what is Mohan’s share?

• A. ₹67
• B. ₹53
• C. ₹82
• D. ₹38

Answer 1

The correct option is B ₹53

₹195 is distributed among Ram, Mohan and Shyam.
Given, Mohan gets ₹7 less than Ram.

Assume Ram gets $₹x.$
$⟹$Money that Mohan gets $=₹(x-7)$

Also, Shyam gets ₹22 More than Ram.
$⟹$Money that Shyam gets $=₹(x+22)$

Now,
The total money will be the sum of the individual amount that they received.

$⟹x+(x-7)+(x+22)=195⟹x+x-7+x+22=195⟹x+x+x=195-22+7⟹3x=180⟹x=\frac{180}{3}=60$

$⟹$ Ram gets ₹60 and as given Mohan gets ₹7 less than Ram.
$⟹$ Amount of money that Mohan gets $=₹60-₹7=₹53$

Hence, option 'b' is corrct option.