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Question
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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Solution
\[\text { Given }, \]
\[\text { MP of the pair of shoes = Rs } . 1120\]
\[\text { Discount = 10 % } \]
\[\text { So, SP = MP }\left( \frac{100 - \text { Discount % }}{100} \right)\]
\[ = 1120 \times \frac{90}{100}\]
\[ = Rs . 1008\]
\[\text { Now, }\]
\[\text { Profit = 26 % } \]
\[\text { SP = Rs } . 1008\]
\[\text { Therefore, CP } = \left( \frac{100 \times SP}{100 +\text { Profit % }} \right)\]
\[\text { Cost price } = \left( \frac{100 \times 1008}{100 + 26} \right)\]
\[ = Rs . 800\]
\[\text { The cost price of the pair of shoes will be Rs . 800 } . \]
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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%` |
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(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 |
