A and B started a business in partnership with investment of Rs 2400 and Rs 3200 respectively. After one year, A increased his investment by 15% while B decreased his investment by 20%. At the end of 2 years, they earned a profit of Rs 5460. Find the profit of A.
Answers
Answer:
First of all ; HAPPY INDEPENDENCE DAY!;
A and B started their business with investment;
A invested ; Rs.2400,
B invested ; Rs.3200,
After 1 year;
A increased his investment by; 15% ; Which means that Rs.2400 + 15%
B decreased his investment by; 20% ; Which means that Rs.3200 + 20%
Formula=New investment = investment x increase[or] decrease percentage/100 + [if increase] or -[if decrease] the old investment.;;
New investment of A = 2400 x 15[%]/100 + 2400 [INCREASE] :
= Rs.2760.
New investment of B = 3200 -3200 x 20[%]/100 [DECREASE] :
= Rs.2560.
Investment for the 2 years = old investment + New investment;
Investment of A for the 2 years = Rs.2400 + Rs.2760;
= 5160.
Investment of B for the 2 years = Rs.3200 + Rs.2560;
= 5760.
As we all know in business, profit comes by the amount you invested in the partnership and will be shared equally as per the ratio of investment...
The profit both A and B got TOGETHER = Rs.5160.
Formula for shares of shares in the investment = Profit x ratio.....
As we found out that;
A invested Rs.5160 altogether in the business;
B invested Rs.5760 altogether in the business;
So their ratio of investment = 5160 : 5760,
= 43 : 48 [ In the SIMPlest form ]; [ RATIO = 43 + 48 = 91 ] Ratio for A = 43/91 and Ratio for B = 48/91.
= 5160 x 43/91;
= Rs. 2438.24 ; Therefore, A got Rs.2438.24 in the share for the profit in 2 YEARS.
We no need to find B, but; Let;s just do it for FUN!,
= 5760 x 48/91;
= Rs.3038.24 ; Therefore, B got Rs.3038.24 in the share for the profit in 2 YEARS.
Therefore, A got Rs.2438.24 in the share for the profit in 2 YEARS.
So; this is the round-off answer for your question, If you want it to be easier just round-it off to the nearest tens[10's]
HOPE IT HELPS YOU,
HAPPY INDEPENDENCE DAY...ONCE AGAIN!