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Question
If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
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Solution
\[\text { Let the cost price of one pen be Rs . C, and the selling price be Rs } . S\]
\[\text { Therefore,} 10S = 14C\]
\[C = \frac{10}{14}S\]
\[\text { However, the cost price is less than the selling price } . \]
\[S . P . = \left( \frac{100 + \text {profit %}}{100} \right)C . P\]
\[S = \left( \frac{100 +\text { profit % }}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 + \text { profit % }}{100} \right)\]
\[\frac{14}{10} = \left( \frac{100 +\text { profit % }}{100} \right)\]
\[\frac{1400}{10} = 100 + \text { profit %} \]
\[140 - 100 = \text { profit % } \]
\[\text { Profit % }= 40\]
\[ =\text { 40 % } \]
\[\text { Therefore, the required profit percent is 40 % }. \]
RELATED QUESTIONS
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Sultana bought the following things from a general store. Calculate the total bill amount paid by her.
(i) Medicines costing ₹800 with GST at 5%
(ii) Cosmetics costing ₹ 650 with GST at 12%
(iii) Cereals costing ₹900 with GST at 0%
(iv) Sunglass costing ₹1750 with GST at18%
(v) Air Conditioner costing ₹28500 with GST at 28%
Fill up the appropriate boxes in the following table.
| SI. No | C.P. in ₹ |
M.P. in ₹ |
S.P. in ₹ |
Discount in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 110 | 130 | Nil | |||
| (ii) | 110 | 130 | 10 | |||
| (iii) | 110 | 130 | 30 | |||
| (iv) | 110 | 120 | Nil | 10 | ||
| (v) | 120 | 10 | 20 | Nil |
Valarmathi sold her pearl set for ₹ 30,000 at profit of ₹ 5000. Find the cost price of the pearl set
Discount is subtracted from ________ to get S.P.
Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has a ______.
The loss per cent on selling 140 geometry boxes at the loss of S.P. of 10 geometry boxes is equal to ______.
A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
Which method do you think stores actually use? Why?
