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Question Detail
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is
- 12%
- 13%
- 14%
- 15%
Answer: Option A
Explanation:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Selling price = Rs. (8 x 21) = Rs. 168.
Profit = 168 - 150 = 18
So, Profit % = (18/150) * 100 = 12%
1. A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
- 20%
- 21%
- 22%
- 23%
Answer: Option B
Explanation:
\begin{aligned}
Gain\% = \\ \left( \frac{(100 + \text{common gain}\%)^2}{100} - 100 \right)\% \\
= \left( \frac{(100 + 10)^2}{100} - 100 \right)\% \\
= \left( \frac{12100 - 10000}{100}\right)\% \\
= 21\%
\end{aligned}
2. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
- Rs. 660
- Rs. 760
- Rs. 860
- Rs. 960
Answer: Option D
Explanation:
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960
3. In terms of percentage profit, which among following the best transaction.
- C.P. 36, Profit 17
- C.P. 50, Profit 24
- C.P. 40, Profit 19
- C.P. 60, Profit 29
Answer: Option D
Explanation:
Hint: Calculate profit percent as
Profit% = (profit/cost) * 100
4. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
- Rs 8.81
- Rs 9.81
- Rs 10.81
- Rs 11.81
Answer: Option D
Explanation:
85 : 9 = 105 : x
x= (9×105/85)
= Rs 11.81
5. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is
- \begin{aligned} \frac{6}{19}\% \end{aligned}
- \begin{aligned} \frac{6}{17}\% \end{aligned}
- \begin{aligned} 5\frac{5}{11}\% \end{aligned}
- \begin{aligned} 3\frac{5}{11}\% \end{aligned}
Answer: Option C
Explanation:
Whenever we get this type of question, we should have formula in mind that,
Gain% = (gain/cost)*100
Cost = 4700 + 800 = Rs. 5500
S.P. = Rs. 5800
Profit = 5800 - 5500 = 300
\begin{aligned}
Gain\% = \frac{300}{5500}*100 \\
= 5\frac{5}{11}\%
\end{aligned}
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