Trisha and Misha invested Rs $3500$ and Rs $3000$ in a business. After $7$ months both added Rs $500$ to their investments. If after a year the difference in their shares of profit is Rs $1140$ , find the total profit at the end of year.

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Solution

Ratio of shares of profit of Trisha : Misha
$\Rightarrow 3500 \times 7 + 4000 \times 5 : 3000 \times 7 + 3500 \times 5$
$\Rightarrow 7 \times 7 + 40 : 6 \times 7 + 35$
$\Rightarrow 89 : 77$

It is given that difference in their shares of profit is $1140 :$
$\Rightarrow \frac{89 - 77}{89 + 77} \times x = 1140$
$\Rightarrow \frac{12}{166} \times x = 1140$
$\Rightarrow x = \frac{1140 \times 166}{12}$
$\Rightarrow x =$ Rs $15770$

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Trisha and Misha invested Rs 3500 and Rs 3000 in a business. After 7 months both added Rs 500 to their investments. If after a year the difference in their shares of profit is Rs 1140, find the total profit at the end of year.

Ratio of shares of profit of Trisha : Misha⇒3500×7+4000×5:3000×7+3500×5 ⇒7×7+40:6×7+35 ⇒89:77 It is given that difference in their shares of profit is 1140: ⇒89−7789+77×x=1140 ⇒12166×x=1140 ⇒x=1140×16612⇒x= Rs 15770

Trisha and Misha invested Rs $3500$ and Rs $3000$ in a business. After $7$ months both added Rs $500$ to their investments. If after a year the difference in their shares of profit is Rs $1140$ , find the total profit at the end of year.