DELHI POLICE MATHS QUIZ-45

A person spent $65 \%$ of the income on purchasing items $\mathrm{A}$ and $\mathrm{B}$ and the rest of the amount is his savings. He spent ₹ 1,800 on purchasing item $A$ and ₹ 3,270 on purchasing item $B$. The savings amount (in ₹ ) was:

If a number $\mathrm{A}$ is $30 \%$ less than another number $\mathrm{B}$ and $\mathrm{B}$ is $20 \%$ more than 150 , then what is the value of $A$ ?

A sum of ₹ 7,560 is divided between A, B and C such that if their shares are diminished by ₹ 400, ₹ 300 and ₹ 260, respectively, then their shares are in the ratio $4: 2: 5$. What is the original share of $\mathrm{B}$ ?

A man travelled the first part of his journey at $160 \mathrm{~km} / \mathrm{h}$ and the second part at $240 \mathrm{~km} / \mathrm{h}$, and covered a total distance of $3840 \mathrm{~km}$ to his destination in 20 hours. How long, in hours, did the second part of his journey last?

Piyush marks the price of his article $30 \%$ more than its cost price. If he sells the article for Rs. 780 after following a discount of $20 \%$, then what will be the cost price (in Rs) of the article?

Three candidates contested an election and received 2272,15272 and 23256 votes, respectively. All votes are valid votes. What percentage of the total votes did the candidate with the minimum votes get (correct to the nearest natural number)?

What will be the value of $\frac{5}{7} \div 5 \frac{1}{3}$ of $\frac{5}{14}-\frac{5}{14} \times 6 \frac{3}{10}+\left(0 . \overline{57} \div 0.6 \overline{3} \times 5 \frac{1}{2}\right) \times \frac{7}{15}$ ?

What least number should be subtracted from 2983 so that the resulting number when divided by 9,10 and 15 , the remainder in each case is 3 ?

A sum invested at 8 % p.a. amounts to ₹ 20,280 at the end of one year, when the interest is compounded half yearly. What will be the compound interest (in ₹) on the same sum for 2 years if the interest rate is the same as earlier and interest is compounded annually?

$X$ and $Y$ together can do a piece of work in 8 days. If $X$ alone can do the same work in 40 days, then in how many days will $Y$ do the work alone?