After dividing an amount into two parts, Ramesh invests these parts in two different business. In fi

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17 Dec 2015 Profit and loss

After dividing an amount into two parts, Ramesh invests these parts in two different business. In first, he gains 50% profit whereas in second he has a loss of 25 %.Total profit of Ramesh in first business is 1888 rupee. What is the total investment of Ramesh if he gains 23% profit over all.

OPtion

1. 5775
2. 6465
3. 5855
4. 6732
5. 6963
6. 5421
7. 5328
8. 5900
9. 5515
10.6712

Solution

(One variable solution)
Consider that 100 Rs is invested, then two parts are x & (100 - x)
Taking 50 % profit x becomes (3/2) x
& taking 25% loss (100 – x) becomes (3/4)(100 – x)
As total profit is 23 % hence
[(3/2)x +(3/4)(100 – x)] – 100 = 23
On solving x = 64
Profit = 64 * 50/100 = 32 in every 100 rupee
Overall profit in first business = 1888
Total investment = 100 * 1888 / 32 = 5900

Alternate method
Let total investment = P & part investments are x & (P – x)
According to given condition
x/2 = 1888 implies x = 3776
Similarly according to other condition
3x/2 +(3/4)(P – x) = P 123/100
=>3/2 * 3776 +(3/4)(P – 3776) = P 123/ 100
=>3 * 1888 + (3 /4) P – 3 * 944 = 123 P/100
=>5664 – 2832 = 123 P /100 – (3/4) P
=>2832 = (123 P – 75 P)/100
=>2832 = 48 P/100
=>P = 2832 * 100/ 48 = 5900.

Option 8)

Correct Option: 8 Best Solution (2)

PRABHAT KUMAR   9 years AGO

Investment in 1 business =1888*2=3776
(150*3776)/100+(y*75)/100=((3776+y)*123)/100
y=2124
Hence total investment =3776+2124=5900
Option 8

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SHUBHAM   9 years AGO

part of investment are 3776 and 2124
using profit percentage formula we get invest in business one as 3776 and hence can proceed further

Like? Yes (1) | No