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प्रश्न
A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs 1120?
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उत्तर
\[\text { Given }, \]
\[\text { MP of the pair of shoes = Rs } . 1120\]
\[\text { Discount = 10 % } \]
\[\text { So, SP = MP }\left( \frac{100 - \text { Discount % }}{100} \right)\]
\[ = 1120 \times \frac{90}{100}\]
\[ = Rs . 1008\]
\[\text { Now, }\]
\[\text { Profit = 26 % } \]
\[\text { SP = Rs } . 1008\]
\[\text { Therefore, CP } = \left( \frac{100 \times SP}{100 +\text { Profit % }} \right)\]
\[\text { Cost price } = \left( \frac{100 \times 1008}{100 + 26} \right)\]
\[ = Rs . 800\]
\[\text { The cost price of the pair of shoes will be Rs . 800 } . \]
संबंधित प्रश्न
Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?
A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 gm for each kilogram. Find his gain percent.
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?
Some articles are bought at 2 for ₹ 15 and sold at 3 for ₹ 25. Find the gain percentage
In case of gain, S.P. = `((100 + "gain"%) xx "C.P.")/100`.
At a toy shop price of all the toys is reduced to 66% of the original price.
- What is the sale price of a toy that originally costs Rs 90?
- How much money would you save on a toy costing Rs 90?
Sonal bought a bed sheet for ₹ 400 and sold it for ₹ 440. Her ______ % is ______.
Nasim bought a pen for ₹ 60 and sold it for ₹ 54. His ______ % is ______.
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 |
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
