1.

Harshad Mehta and his wife invested in the share market. Harshad invests 2/3 of the total sum for 9 months and his wife gets 3/5 of the profits. For how long, her wife invested in the market?1. 18 months2. 16 months3. 27 months4. 12 months5. 29 months

Answer» Correct Answer - Option 3 : 27 months

Given:

Harshad’s investment is 2/3 of the total sum 

Harshad invest for 9 months

Harshad’s wife gets 3/5 of the profit

Concept used:

Profit ∝ Investment 

Profit ∝ Time 

So, the ratio of profit is directly proportional to the product of investment and time.

Calculation:

Assume that the total sum is P, total profit is M and T is the time for which investment of Harshad's wife was in the market

Sum invested by Harshad = 2/3P

Sum invested by his wife = 1/3P

Profit of his wife = 3/5M 

⇒ Profit of Harshad = (1 − 3/5)M = 2/5M

For Harshad,

2/3P × 9 = 2/5M

⇒ M/P = 15

For Harshad’s wife,

1/3P × T = 3/5M

⇒ T = 3/5 × 3 × M/P

⇒ T = 27

∴ The time for which investment of Harshad's wife was in the market is 27 months.


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