Question

P,q,r invested some amonunt to start a business.P invested 500 for 12 months q invested 600 for some months and r invested 540 more than 2 months invested by q at the end of the year total profit is rs.2200 while q received rs.480 then q invested for how many months

Answer 1

Answer:

Step-by-step explanation:

P invest Rs. 500 for 12 Months;

Let suppose Q invest Rs. 600 for x months:

R invest Rs. 540 for (x+2) months:

Ratio of their investment = 500*12 : 600x : 540(x+2)

we can write it as = 100 : 10x : 9(x+2)

Total Profit = Rs. 2200;

Q received Rs. 480;

Which is equal to the $\frac{10x}{100+10x+9x+18}$*2200 = 480;

118*48+19*48x = 2200x;

118*48 = 1288x;

x = 5 approx:

Answer 2

Answer: Q invested for 4 months.

Step-by-step explanation:

Since we have given that

Invested amount by P = 500

Number of months = 12

Amount invested by Q = 600

Let the number of months be 'x'.

Amount invested by R = 540

Let the number of months be 'x+2'.

So, Ratio of profit would be

$500\times 12:600\times x:540\times (x+2)\\\\=100:10x:9(x+2)\\\\=100:10x:9x+18$

Total profit = 2200

Amount received by Q = Rs. 480

According to question, we get that

$\dfrac{10x}{100+10x+9x+18}\times 2200=480\\\\\dfrac{10x}{118+19x}\times 2200=480\\\\\dfrac{10x}{118+19x}=\dfrac{480}{2200}\\\\\dfrac{10x}{118x+19x}=\dfrac{12}{55}\\\\550x=12(118+19x)\\\\550x=1416+228x\\\\550x-228x=1416\\\\322x=1416\\\\x=\dfrac{1416}{322}\\\\x=4.39\\\\x=4\ months$

Hence, Q invested for 4 months.