Shekar's and Jani's shares in a business are in the ratio of 10:6. If Shekar has invested Rs. 140000 for 24 months, for what period Jani has invested Rs. 120000?
Question
Shekar's and Jani's shares in a business are in the ratio of 10:6. If Shekar has invested Rs. 140000 for 24 months, for what period Jani has invested Rs. 120000?
Solution
First, let's understand the problem. Shekar and Jani are in a business partnership where their shares are in the ratio of 10:6. This means that for every 10 parts that Shekar has, Jani has 6 parts.
We know that Shekar has invested Rs. 140000 for 24 months.
The formula to calculate the share of a partner in a business is:
Share of a partner = (Investment of the partner * Time period of the investment)
So, Shekar's share = Rs. 140000 * 24 = Rs. 3360000
We also know that the ratio of Shekar's share to Jani's share is 10:6, which simplifies to 5:3.
So, we can set up the following equation to find out the time period for which Jani has invested Rs. 120000:
(120000 * Time period of Jani's investment) / 3360000 = 3 / 5
Solving this equation for the time period of Jani's investment gives:
Time period of Jani's investment = (3 / 5) * (3360000 / 120000) = 16.8 months
So, Jani has invested Rs. 120000 for approximately 17 months (if we round up to the nearest whole number).
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