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Question

Mohan, Shyam and Rohan invested Rs 50, Rs 20 and Rs 30 respectively in a business and earned a profit of Rs 40. How much did each of them receive as profit?

A
Mohan's share = Rs 20
Shyam's share = Rs 12
Rohan's share = Rs 8
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B
Mohan's share = Rs 20
Shyam's share = Rs 18
Rohan's share = Rs 12
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C
Mohan's share = Rs 20
Shyam's share = Rs 14
Rohan's share = Rs 6
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D
Mohan's share = Rs 20
Shyam's share = Rs 8
Rohan's share = Rs 12
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Solution

The correct option is D Mohan's share = Rs 20
Shyam's share = Rs 8
Rohan's share = Rs 12
Mohan, Shyam and Rohan invested in the ratio of 5 : 2 : 3.
Let us assume that their investments are 5k, 2k and 3k respectively.
According to the question,
5k + 2k + 3k = 40
10k = 40
k = 4010=4

Mohan's share = 5k = 5 × 4 = Rs 20
Shyam's share = 2k = 2 × 4 = Rs 8
Rohan's share =3k = 3 × 4 = Rs 12

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