Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 ⇒ 98x = 40y
⇒ y = 49x/20
And, 14x/7z = 5/8
⇒ 112x = 35z
⇒ z = 112x/35 = 16x/5
So x : y : z = x : 49x/20 : 16x/5 ---- (Multiple by 20)
⇒ 20 : 49 : 64.
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A:B:C =6 x : 4x : x
= 6 : 4 : 1
B's share = 16500 * (4/11) = 1500*4 = 6000.
Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?
Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So Kamal: Sameer = (9000*12):(8000*7)
= 108 : 56
= 27 : 14
Sameer Ratio in profit will be =(6970*14/41)=Rs 2380.
P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is