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Question
A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs 840?
Solution
\[\text { Given, } \]
\[\text { MP of the cycle = Rs } . 840 \]
\[\text { Discount = 10 % } \]
\[\text { So, SP = MP } \times \left( \frac{100 - \text { Discount % }}{100} \right)\]
\[ = 840 \times \left( \frac{100 - 10}{100} \right)\]
\[ = Rs . 756\]
\[\text { Now, SP = Rs . 756 and Gain = 26 % } \]
\[\text { So, CP }= \frac{100}{100 +\text { Gain % }} \times 756\]
\[ = \frac{100}{126} \times 756\]
\[ = Rs . 600\]
\[\text { Hence, the actual cost of the cycle is Rs } . 600 .\]
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If 20 lemons are bought for ₹ 10 and sold at 5 for three rupees, then ______ in the transaction 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 |
