Math Help Line

Combined 5 Bank Officer Cash

5-Apr-2019

Q:

A' began a small business with a certain amount of money. After four months from the start of the business. 'B' joined the business with an amount which was Tk.6,000 less than 'A's initial investment. 'C' joined the business after seven months from the start of business with an amount which was Tk.2,000 less than A's initial investment. At the end of the year total investment repented was Tk.1,42,000. What will be A's share in the profit. if B received Tk.8,000 as profit share?
A কিছু টাকা নিয়ে ব্যবসা শুরু করে। চার মাস পর B, A এর চেয়ে ৬০০০ টাকা কম নিয়ে ব্যবসায় যোগ দেয় এবং ব্যবসা শুরুর ৭ মাস পর C, A এর চেয়ে ২০০০টাকা কম নিয়ে ব্যবসায় যোগ দেয়। বছর শেষে তাদের মোট বিনিয়োগ দাড়ায় ১,৪২,০০০টাকা। B যদি ৮০০০টাকা মুনাফা পায়, তাহলে A কত টাকা মুনাফা পাবে?

A) 48,000 B) 46,500
C) 46,000 D) 42,000

Answer

48,000

Solutions

Let,

Initial investment of A be tk. x

Total investment at the end of year

= 12x + 8 (x – 6000) + 5 (x – 2000)

= 12x + 8x + 5x – 48000 – 10000

= tk.(25x – 58000)

ATQ,

25x – 58000 = 142000

Or, 25x = 142000 + 58000

Or, 25x = 200000

Or, x = 8000

Ratio of profit sharing for A, B and C

= (12 x 8000) : (8 x 2000) : (5 x 6000)

= 96000 : 16000 : 30000

= 48 : 8 : 15

B’s share = tk.8000

A’s share = 8000 x (48/8) = 48000 tk.

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Q:

Three runners A, B and C run a race, with runner A finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?

A) 36 metres B) 48 metres
C) 72 metres D) 60 metres

Answer

48 metres

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Q:

An article manufactured by a company consists of two parts A and B. In the process of manufacture of part A, 9 out of 100 are likely to be defective. Similarly, 5 out of 100 are likely to be defective in the process of manufacture of part B. What will be the probability that the assembled part will not be defective?

A) 0.8645 B) 0.9645
C) 0.6243 D) 0.9569

Answer

0.8645

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Q:

In a 729 liters mixture of milk and water the ratio of milk to water is 7:2. To get a new mixture containing milk and water in the ration 7:3, the amount of water to be added is?
৭২৯ লিটার মিশ্রণে দুধ ও পানির অনুপাত ৭:২। মিশ্রণে কি পরিমান পানি মেশালে মিশ্রণে দুধ ও পানির অনুপাত ৭:৩ হবে?

A) 71 B) 81
C) 56 D) 50

Answer

81

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