M. Tyra Solutions for Chapter: Ratio and Proportion, Exercise 1: Exercises

$₹50$ is divided among $6$ men, $12$ women and $17$ boys so that $2$ men get as much as $5$ boys and $2$ women as much as $3$ boys. The share of a boy is $₹$ _____

Mr Pandit owned $950$ gold coins, all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave $25$ gold coins to her husband, Amita donated $15$ gold coins and Neeta made jewellery out of $30$ gold coins. The new ratio of the coins left with them was $20 : 73 : 83$. How many gold coins did Amita receive from Mr Pandit?

Mr X invested a certain amount in Debt and Equity Funds in the ratio of $4 : 5$. At the end of one year, he earned a total dividend of $30\%$ on his investment. After one year, he reinvested the amount including the dividend in the ratio of $6 : 7$ in Debt and Equity Funds. If the amount reinvested in Equity Funds was $₹94,500$, then the original amount invested in Equity Funds is $₹$_____

There was a science exhibition in an auditorium. On the first day $14$ persons visited the exhibition, on the second day $12$ persons and on the third day only $10$ persons visited. The ratio of admission fees collected from each of them on these days was $2 : 3 : 5$ respectively. If the total amount collected on these three days was $₹4560$. What amount was collected on the first day?

A gave $25\%$ of an amount to B. From the money B got, he spent $30\%$ on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount he spent on buying a book is $5 : 2$. If B bought the book for $₹ 460$, how much money did A have in the beginning ?

The monthly salary of Dex is $\frac{1}{4}$ of his father's monthly salary. Dex's sister's monthly salary is $\frac{2}{5}$ of their father's monthly salary. Dex's sister pays $₹12,800$ as study loan, which is $\frac{1}{4}$ of her monthly salary. The savings and expenses made out of the monthly salary by Dex are in the ratio of $3 : 5$. How much does Dex save each month?

In an examination, the number of students who passed and the number of those who failed were in the ratio of $25 : 4$. If five more students had appeared and the number of failed students was $2$ less than earlier, the ratio of passed to failed students would have been $22 : 3$. What is the number of students who appeared for the examination?

A certain sum is divided among A, B and C in such a way that A gets $₹40$ more than $\frac{1}{2}$ of the sum. B gets $₹120$ less than $\frac{3}{8}$ of the sum and C gets $₹200$. What is the total sum?