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Question
By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
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Solution
\[\text { Let the cost price of the pair of earrings be Rs . x } . \]
\[\text { Profit = 16 % } \]
\[\text { Therefore, SP } = \left( \frac{\text { Profit % }+ 100}{100} \right) \times CP\]
\[ = \left( \frac{16 + 100}{100} \right)x\]
\[ = Rs . \frac{116x}{100}\]
\[SP - CP = 48\]
\[ \Rightarrow \frac{116x}{100} - x = 48\]
\[ \Rightarrow 16x = 4800\]
\[ \Rightarrow x = Rs . 300\]
\[SP = \frac{116x}{100} = Rs . 348\]
\[MP = \frac{100 \times SP}{100 -\text { Discount % }}\]
\[ = \frac{34800}{75} = Rs . 464\]
\[\text { Thus, CP of the pair of earrings = Rs . x = Rs } . 300\]
\[\text { SP of the pair of earrings = Rs } . 348\]
\[\text { MP of the pair of earrings = Rs } . 464\]
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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 |
