1.
A and B started a business with initial investments in the respective ratio of 18: 7. After four months from the start of the business, A invested Tk. 2,000 more and B invested Tk. 7,000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?
(Partnership-অংশীদারী কারবার)
Let the initial investment of A and B is 18x and 7x
After 4 months from the start of business,
A invest Rs. 2000 more for each eight months.
Then total investment of A
=18x×4+(18x+2000)×8=72x+144x+16000=216x+16000
After 4 months, from the start of business,
B invest Rs. 7000 more for each eight months.
Total investment by B
=7x×4+(7x+7000)×8=28x+56x+56000=84x+56000
According to the question,
⇒216x+1600084x+56000=21
⇒ 216x + 16000 = 168x + 112000
⇒ 216x - 168x = 112000 - 16000
⇒ 48x = 96000
⇒ x = 2000
Total initial investment of A and B
= (18 + 7) × 2000
= Rs. 50000
প্রশ্নে বলা হচ্ছে, 4 বছর পূর্বে A এর বয়সের অর্ধেক এবং B এর বয়সের এ গুণের অনুপাত 5 : 12 ছিল। 8 বছর পর A এর বয়সের অর্ধেক B এর বয়সের চেয়ে 2 বছর কম হবে। B এর বর্তমান বয়স কত?
Suppose, age of 'A' age and 'B' 4 years ago be x and y respectively
According to the first condition,
∴ After 8 years hence, age of A = x+4+8= (x+12)
And after 8 years hence, age of B = y +4 +8=(y+12)
Hence, the present age of B = 6 + 4 = 10 years.
Promotion
Download Our Mobile Apps
