Question : If the ratio of cost price and the selling price is 5 : 6, then the gain percent is:
Option 1: $20\%$
Option 2:
$33\frac{1}{3}\%$
Option 3:
$25\%$
Option 4:
$30\%$
Correct Answer: $20\%$
Solution : Given that the ratio of the cost price and selling price of an article is 5 : 6. Let the selling price be 6k and the cost price be 5k. Profit = 6k – 5k = k $\therefore$ Profit percentage $=\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{k}{5k}×100=20\%$ Hence, the correct answer is $20\%$.
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Question : A man sold 250 chairs and had a gain equal to the selling price of 50 chairs. His profit percent is:
Option 1: 20%
25%
50%
15%
Question : A shopkeeper marked the selling price of his goods in such a way that after giving a discount of 10% he gains 17%. How much percent above the cost price is the marked price?
Option 1: 36%
27%
30%
40%
Question : If $0°<\theta<90°$ and $2\sec\theta =3 \operatorname{cosec}^2 \theta$, then $\theta$ is:
Option 1: $\frac{\pi}{6}$
$\frac{\pi}{4}$
$\frac{\pi}{3}$
$\frac{\pi}{5}$
Question : By selling 24 items, a shopkeeper gains the selling price of 4 items. His gain percentage is:
Option 1: $16 \frac{1}{3} \%$
Option 2: $20 \%$
Option 3: $33 \frac{1}{3} \%$
Option 4: $16 \frac{2}{3} \%$
Question : If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage?
Option 1: $20$
Option 2: $33\frac{1}{3}$
Option 3: $40$
Option 4: $33\frac{2}{3}$
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