Ashifur August 8, 2023 - 17:12
Problem: A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Tk. 4500 for the whole work, how should they divide the money?

View all: BASIC BANK OFFICER (AO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: ans: A gcts Tk 2250; B \gets  TK. 1500 & C \gets Tk TK. 750.

Explanation:

In 10 days A does 1 work

In 1 day A does $\frac{1}{10}$ the work

In 5 days A does $\frac{5}{10}$ = $\frac{1}{2}$ of work

Again, In 15 days B does 1 work

In 1 day B does $\frac{1}{15}$ of the work

In 5 days B does $\frac{3}{15}$ = $\frac{1}{3}$ of the work

In 5 day \both A & B together do = ( $\frac{1}{2}$+ $\frac{1}{3}$) = $\frac{5}{6}$ Work

Rest =(1- $\frac{5}{6}$) = $\frac{1}{6}$ work

In 2 day C docs $\frac{1}{6}$ of work

A:B:C:= $\frac{1}{2}$: $\frac{1}{3}$: $\frac{1}{6}$ =3:2:1

A \gets Tk = $\frac{3}{6}$x 4500 = TK. 2250

B \gets Tk = $\frac{2}{6}$x 4500 = TK. 1500

C \gets TK = $\frac{1}{6}$x 4500 = TK. 750

Write Reply...
You should read | Topics/Questions
A boy purchased some chocolates from a shop for Tk. 120. In the next shop he found that the price per piece of chocolate is Tk. 3 less than that charged at the previous shop, and as such he could have purchased 2 more chocolates. How many chocolates did he buy from the first shop?
If selling price per unit of product decreases by 10% sale (in unit) increases selling by y15%. What is the percentage change in the revenue? 
A person travels between ‘A’ & ‘B’ at 3 km per hour and returns from ‘B’ to ‘A’ at 5 km. per hour. He took 8 hours for the journey. What is the distance between ‘A’ and ‘B’?
If $2^{n}=128$ and y = 5, then $\frac{(2^{n-1})(5^{n-2})}{\sqrt{y}-1}$=?
A man walking non-stop along a road at 3 km per hour is overtaken by a car running at 30 km/ h. If the car breaks down 1 Km beyond where it passes the man, how many minutes after the breakdown does the man reach the car?
A and B start a business with investments of Tk. 5000 and Tk. 4500 respectively. After 4 months, A takes out half of his capital. After two more month, B takes out one third of his capital while C joins them with a capital of Tk. 7000. At the end of a year, they earn a profit of Tk. 5080. Find the share of each member in the profit.
A borrower’s pays 6.5 percent interest per year on the first Tk. 600 he borrowed and 7.25 percent per year on the part of the loan in excess of Tk. 600. How much interest will the borrower pay on a loan of Tk. 6,500 for 1 years.
A lamp is manufactured to sell for $35.00, which yields a profit of 25% of cost. If the profit is to be reduced to 15% of cost, what will be the new retail price of the lamp?
The sum of race times of two runners is 170 seconds. One of the runners took ten seconds less than twice the other to complete the race. What is the race time of each runner?
A sum of money is to be distributed equally among a group of children. If there were 25 children less then each would get Tk. 1.50 more, and if there were 50 children more, each would get Tk. 1.50 less. Find the number of children and the amount of money distributed.
User Avatar

Articles

0

Comments

0

Rating

0

Login