Advertisements
Advertisements
प्रश्न
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 36.75 less, he would have gained 30%. Find the cost price of the article.
Advertisements
उत्तर
\[\text { Let the C . P of the article be Rs . x }. \]
\[\text { Original S . P = x } + \frac{25}{100}x\]
\[ = Rs . \frac{5x}{4}\]
\[\text { If he purchased it at 20 % less }, \]
\[\text { C . P = x } - \frac{20}{100}x\]
\[ = \text {Rs} . \frac{4x}{5}\]
\[\text { He sold the article at Rs 36 . 75 less } . \]
\[\text { So, the selling price = Rs }. \frac{5x}{4} - 36 . 75\]
\[\text { Given that he would have gained 30 % selling at that price } . \]
\[\text { Therefore, gain % } = \frac{S . P - C . P}{C . P} \times 100\]
\[S . P - C . P = \frac{5x}{4} - 36 . 75 - \frac{4x}{5}\]
\[ = \frac{5x}{4} - \frac{4x}{5} - 36 . 75\]
\[ = \frac{25x - 16x}{20} - 36 . 75\]
\[ = \frac{9x}{20} - 36 . 75\]
\[\text { So, gain % } = \frac{S . P - C . P}{C . P} \times 100\]
\[30 = \frac{\frac{9x}{20} - 36 . 75}{\frac{4x}{5}} \times 100\]
\[ = \left( \frac{9x}{20} - 36 . 75 \right) \times \frac{5}{4x} \times 100\]
\[ = \frac{9x - 735}{16x} \times 100\]
\[30 = \frac{9x - 735}{16x} \times 100\]
\[\frac{225x - 18375}{4x} = 30\]
\[225x - 18375 = 120x\]
\[105x = 18375\]
\[x = \frac{18375}{105}\]
\[ = 175\]
\[\text { So, the cost price of the article is Rs . 175 } .\]
संबंधित प्रश्न
Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.
A defective briefcase costing Rs 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.
A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 500?
Sharad bought one quintal of onions for Rs 2000. Later he sold them all at the rate of Rs 18 per kg. Did he make a profit or incurs a loss? How much was it?
Javedbhai bought 35 electric mixers for Rs. 4300 each. To transport them to the shop, he spent Rs. 2100. If he expects to make a profit of Rs. 21000, at what price should he sell each mixer?
If the profit earned on selling an article for ₹ 810 is the same as loss on selling it for ₹ 530, then find the cost price of the article.
A branded Air-Conditioner (AC) has a marked price of ₹ 38000. There is a condition given for the customer.
Selling Price is the same ₹ 38000 but with attractive gifts worth ₹ 3000
If a mattress is marked for ₹ 7500 and is available at two successive discount of 10% and 20%, find the amount to be paid by the customer
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 |
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3 : 2 | |
| (N) ₹ 164 | |
| (O) 3 : 3 |
