Successive discounts of 10 %, 20 % and 50 % will be equivalent to a single discount of.......... %

English

Gujarati

Hindi

7.Profit and Loss

medium

Successive discounts of $10 \%, 20 \%$ and $50 \%$ will be equivalent to a single discount of..........$\%$

A

$36$

B

$64$

C

$80$

D

$56$

Solution

Single equivalent discount for two successive discounts of $x \%$ and $y \%$

$=\left(x+y-\frac{x y}{100}\right) \%$

$\therefore \quad$ single equivalent discount for $10 \%$ and $20 \%$

$=\left(10+20-\frac{10 \times 20}{100}\right) \%=28 \%$

single equivalent discount for $28 \%$ and $50 \%$

$=\left(50+28-\frac{50 \times 28}{100}\right) \%=(78-14) \%=64 \%$

Standard 13

Quantitative Aptitude

Share

Similar Questions

$A$ and $B$ jointly made a profit of $Rs.\, 1650$ and they decided to share it such that $\frac{1}{3}$ of $A$ 's profit is equal to $\frac{2}{5}$ of $B$ 's profit. Then profit of $B$ is (in $Rs.$)

medium

An article was purchased for $Rs.\,78,350.$ Its price was marked up by $30 \% .$ It was sold at a discount of $20 \%$ on the marked$-$up price. What was the profit percent on the cost price?

medium

A shopkeeper sells $20$ pencils for the same amount of money as he paid for $25$ pencils. What is his gain percent?

medium

A shopkeeper has to sell $24\, Kg$ of sugar. He sells a part of these at a gain of $20 \%$ and the rest at a loss of $5 \% .$ If on the whole he earns a profit of $10 \%$, the amount of Sugar sold at a loss is in $Rs.$?

hard

$P$ invests $Rs.\, 9100$ for $3\, months.$ $Q$ invests $Rs.\, 6825$ for $2\, months$ and $R$ $Rs.\, 8190$ for $5\, months$ in a business. If the total profit amounts to $Rs.$ $4158,$ how much profit should $Q$ get? (in $Rs.$)

medium