Advertisements
Advertisements
Question
If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
Advertisements
Solution
\[\text { Let the cost price of one pen be Rs . C, and the selling price be Rs } . S\]
\[\text { Therefore,} 10S = 14C\]
\[C = \frac{10}{14}S\]
\[\text { However, the cost price is less than the selling price } . \]
\[S . P . = \left( \frac{100 + \text {profit %}}{100} \right)C . P\]
\[S = \left( \frac{100 +\text { profit % }}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 + \text { profit % }}{100} \right)\]
\[\frac{14}{10} = \left( \frac{100 +\text { profit % }}{100} \right)\]
\[\frac{1400}{10} = 100 + \text { profit %} \]
\[140 - 100 = \text { profit % } \]
\[\text { Profit % }= 40\]
\[ =\text { 40 % } \]
\[\text { Therefore, the required profit percent is 40 % }. \]
APPEARS IN
RELATED QUESTIONS
A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If he sells the cooler for Rs 1550, determine his profit percent.
A shopkeeper allows 23% commision on his advertised price and still makes a profit of 10%. If he gains Rs 56 on one item, find his advertised price.
By selling a flower pot for ₹ 528, a woman gains 20%. At what price should she sell it to gain 25%?
What is the marked price of a hat which is bought for ₹ 210 at 16% discount?
Valavan bought 24 eggs for ₹ 96. Four of them were broken and also he had a loss of ₹ 36 on selling them. What is the selling price of one egg?
40% of [100 – 20% of 300] is equal to ______.
______ expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.
The marked price of an article when it is sold for Rs 880 after a discount of 12% is ______.
Three bags contain 64.2 kg of sugar. The second bag contains `4/5` of the contents of the first and the third contains `45 1/2`% of what there is in the second bag. How much sugar is there in each bag?
Harish bought a gas-chullah for ₹ 900 and later sold it to Archana at a profit of 5 per cent. Archana used it for a period of two years and later sold it to Babita at a loss of 20 per cent. For how much did Babita get it?
