Two friends invested in the ratio $17 : 23$ in a business. In the first year, they made a profit of $₹ 55000$ . What will be the share of each one of them?If the profit is increased by $7 %$ ,then what will be the share of each of them?

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Solution

Step1:- Calculate the share in profit of the both friends
Let, the first friend invest in a business $= 17 x$
Second friend invest in a business $= 23 x$
Profit made in the first year $= ₹ 55000$
We know that, ratio of profit shared is equal to the ratio of amount invested.
Therefore,
Share of the first friend $= 17 x$
Share of the second friend $= 23 x$
According to the question,
Total Profit $= ₹ 55000$
$17 x + 23 x = ₹ 55000$
$40 x = ₹ 55000$
$x = ₹ \frac{55000}{40} x = ₹ 1375$
Share of the first friend $= 17 x$
$= 17 \times 1375 = ₹ 23375$
Share of the second friend $= 23 x$
$= 23 \times 1375 = ₹ 31625$
Step2:- Calculate the new share of the first friend when profit is increased by $7 %$
New share of the first friend $= ₹ 23375 + 7 % of ₹ 23375$
In order to calculate the share, first calculate the $7 %$ of $23375$
$7 % of 23375$ $= \frac{7}{100} \times 23375$
$= 1636.25$
New share of the first friend $= ₹ 23375 + ₹ 1636.25$
$= ₹ 25011.25$
Step3:- Calculate the new share of the second friend if the share increase by $7 %$
New share of the first friend $= 31625 + 7 % of 31625$
First, calculate $7 % of 31625$
$7 % of 31625$ $= \frac{7}{100} \times 31625$ ₹
$= 2213.75$
New share of the first friend $= 31625 + 2213.75$
$= 33838.75$
Hence, the share of a first friend and a second friend is $₹ 25011.25$ and $₹ 33838.75$ respectively.

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Two friends invested in the ratio 17:23 in a business. In the first year, they made a profit of ₹55000. What will be the share of each one of them?If the profit is increased by 7%,then what will be the share of each of them?

Two friends invested in the ratio $17 : 23$ in a business. In the first year, they made a profit of $₹ 55000$ . What will be the share of each one of them?If the profit is increased by $7 %$ ,then what will be the share of each of them?