Embibe Experts Solutions for Chapter: Arithmetic, Exercise 8: Exercise 8

Alloy $A$ contains metals $x$ and $y$ in the ratio $5 : 2$ and alloy $B$ contains these metals in the ratio $3 : 4$. Alloy $C$ is prepared by mixing $A$ and $B$ in the ratio $4 : 5$. Find the percentage of $y$ in alloy $C$.

Keshav, Surjeet and Thomas started a business with investments in the ratio $2 : 3 : 4$. The ratio of their period of investments is $5 : 6 : 9$. Twenty per cent of the profit was spent on rent and maintenance of the office. The remaining profit was distributed among themselves. If the difference in the shares of the profit of Keshav and Surjeet is $₹7264$, then how much is the total profit (in $₹$)?

The ratio between three numbers is $1 : 2 : 3$ and sum of their squares is $504$. Find the numbers.

Atul purchased Bread costing $₹20$ and gave a $₹100$ note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination $₹2, ₹5$ and $₹10$. If these coins are in the ratio $5 : 4 : 1$, then how many $₹5$ coins did the shopkeeper give?

Monthly salaries of Anil and Kumud are in the ratio $19:17$. If Anil and Kumud get salary hike of $₹2000$and $₹1000$ respectively, then the ratio in their salaries become $8:7$. What is the present salary of Kumud (in $₹$)?

When x is subtracted from each of the numbers $54,49,22$ and $21$ , the numbers so obtained are in proportion. The ratio of $(8x-25)$ to $(7x-26)$is:

The ratio of monthly incomes of A and B is $4:5$ and that of their monthly expenditures is $3:8$. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B ?

The income of three playback singers Aswath, Sunita and Ramdin are in the ratio of $12 : 9 : 7$ and their expenditures are in the ratio $15 : 9 : 8$. If Aswath saves $25$% of his income, what is the ratio of the savings of Aswath, Sunita and Ramdin?