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प्रश्न
A dealer bought two tables for Rs 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then, he found that each table was sold for the same price. Find the cost price of each table.
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उत्तर
\[\text { Given that the selling price is same for both the tables } . \]
\[\text { Let the C . P of 1 table be Rs . x, then the C . P of the other will be Rs } . \left( 3120 - x \right) . \]
\[\text { Loss on the first table = 15 % } \]
\[\text { Therefore, S . P = C . P }\left( \frac{100 -\text { loss % }}{100} \right)\]
\[ S . P = \frac{85x}{100} = Rs . 0 . 85x\]
\[\text { Gain on the second table = 36 % } \]
\[\text { Therefore, S . P = C . P }\left( \frac{100 + \text { gain % }}{100} \right)\]
\[\text { S . P = Rs . 1 . 36 }\left( 3120 - x \right)\]
\[\text { Since both tables have the same S . P }, \]
\[\text { So,} 0 . 85x = 1 . 36\left( 3120 - x \right)\]
\[0 . 85x = 4243 . 20 - 1 . 36x\]
\[2 . 21x = 4243 . 20\]
\[ x = \frac{4243 . 20}{2 . 21}\]
\[ x = Rs . 1920\]
\[\text { So, the cost price of the first table is Rs } . 1920 . \]
\[\text { Cost price of the second table = Rs }. ( 3120 - 1920) = Rs . 1200\]
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A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
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For each method, calculate the amount Sheela would have to pay. Show your work.
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 |
