Embibe Experts Solutions for Chapter: Ratio and Proportion, Exercise 1: Exercise

A man gave $50\%$ of his savings of $₹84100$ to his wife and divided the remaining sum among his two sons $A$ and $B$ of $15 \mathrm{years}$ and $13 \mathrm{years}$ of age respectively. He divided it in such a way that each of his sons when they attain the age of $20 \mathrm{years}$, would receive the same amount at $5\%$ compound interest per annum. Find the share of $B$.

If $2A=3 B=4C$, then find $A : B : C$.

Ram can finish a puzzle in $3 \mathrm{hours}$ and Shyam can do the same in $2 \mathrm{hours}$. Both of them finish the puzzle and get $15$ candies. What is Ram's share?

Three friends $\mathrm{A}, \mathrm{B} \mathrm{and} \mathrm{C}$ started a business by investing amount in the ratio of $5 : 7 : 6$ respectively. After a period of $6 \mathrm{months}$ $\mathrm{C}$ withdrew half of the amount invested by him. If the amount invested by $\mathrm{A}$ is $₹40,000$ and the total profit earned at the end of one year is $₹33,000$, what is C'€™s share in profit?

What is Aditya€'s share in the profit. Sohan starts a business by investing $₹25,000$.$6$ months later Aditya joins him by investing $₹15,000$. After another, $6$ months Aditya invests an additional amount of $₹15,000$. At the end of $3$Years they earn a profit of  $₹2,47,000$ ?

Anu is a working partner and Bimla is a sleeping partner in a business. Anu puts in $₹ 5000$ and Bimla puts in $₹ 6000$. Anu receives to $12.5\%$ of the profit for managing the business and the rest is divided in proportion to their capitals. What does each get out of a profit of $₹880$?

Two train start from A and B respectively and travel towards each other at a speed of $54$ $km/hr$ and $36$ $km/hr$ respectively. By the time they meet, the first train has travelled $150$ $m$ more than the second. Find the distance between A and B ?

A boat moves upstream at the rate of $2 \mathrm{km}$ in $10 \mathrm{minutes}$ and downstream at the rate of $2 \mathrm{km}$ in $6 \mathrm{minutes}$. The speed of the current is _____