M. Tyra Solutions for Chapter: Percentage, Exercise 1: Exercises

In an examination, $30\%$ of the total students failed in Hindi, $45\%$ failed in English and $20\%$ failed in both the subjects. Find the percentage of those who passed in both the subjects.

Ganesh's monthly income is $\frac{4}{5}\mathrm{th}$ of Suresh's monthly income. The respective ratio between Suresh's and Sunil's monthly income is $13 : 17$. Sunil spends $12\%$ of his monthly income on food expenses which is $₹8,160$. What is the annual income of Ganesh?

One-fourth of two-fifths of $30$ per cent of a number is $15$. What is $20$ per cent of that number?

In a company 'XYZ', the ratio of the total number of undergraduate employees to the total number of graduate employees is $13 : 23$. The company has only two branches - one in Mumbai and another in Delhi. If the total number of undergraduate employees in Mumbai branch is $351$, which is $30\%$ of the total undergraduate employees in the company, what is the total number of graduate employees in the company?

Raja gives $30\%$ of his salary to his mother, $40\%$ of the remaining salary he invests in an insurance scheme and PPF in the ratio of $4 : 3$ and the remaining he keeps in his bank account. If the difference between the amount he gives to his mother and that he invests in insurance scheme is $₹8400$, how much is Raja's salary?

The ratio of the monthly salary of Om to that of Pihu is $7 : 9$. Om and Pihu both save $20\%$ and $40\%$ of their respective monthly salary respectively. Om invests $\frac{1}{2}$ of his savings in PPF and Pihu invests $\frac{7}{9}$ of his savings in PPF. If Om and Pihu together saved $₹17500$ in PPF, what is Pihu's monthly salary?

Out of her monthly salary, Ridhi spends $34\%$ on various expenses. From the remaining, she gives $\frac{1}{6}\mathrm{th}$ to her brother, $\frac{2}{3}$ to her sister and the remaining she keeps as savings. If the difference between the amounts she gave to her sister and brother was $₹10,560$, what was Ridhi's savings?

Ramesh has $20\%$ savings with him from his monthly salary. If the expenditure on clothing is $25\%$ of overall expenditure and his total expenditure except clothing is $₹3600$, then find his savings (in $₹$).