Question

Mohan, Shyam and Manisha invested Rs 50, Rs 20 and Rs 40 respectively in a card making business and earned a profit of Rs 110. How much did each of them receive as profit?

• A. Mohan's share = Rs 50
  Shyam's share = Rs 20
  Manisha's share = Rs 40
• B. Mohan's share = Rs 40
  Shyam's share = Rs 20
  Manisha's share = Rs 50
• C. Mohan's share = Rs 20
  Shyam's share = Rs 50
  Manisha's share = Rs 40
• D. Mohan's share = Rs 50
  Shyam's share = Rs 40
  Manisha's share = Rs 20

Answer 1

The correct option is A Mohan's share = Rs 50

Shyam's share = Rs 20
Manisha's share = Rs 40
Mohan, Shyam and Manisha invested in the ratio of 50 : 20 : 40 = 5 : 2 : 4.
Let us assume that their investments are 5k, 2k and 4k respectively.
According to the question,
5k + 2k + 4k = 110
$\Rightarrow$11k = 110
k = $\frac{110}{11}=$10

The profits earned will be in the same ratio as that of their investments, that is, 5 : 2 : 4.
$\therefore$ Mohan's share = 5k = 5 $\times$ 10 = Rs 50
Shyam's share = 2k = 2 $\times$ 10 = Rs 20
Rohan's share =3k = 4 $\times$ 10 = Rs 40