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प्रश्न
The difference between two selling prices of a shirt at profits of 4% and 5% is Rs 6. Find
(i) C.P. of the shirt
(ii) the two selling prices of the shirt
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उत्तर
\[\text { Let the C . P of both the shirts be Rs . x } . \]
\[\text { C . P = Rs . x }\]
\[\text { For shirt 1 }: \]
\[\text { Profit is 4 % } : \]
\[\text { Profit % } = \frac{\text { Profit }}{CP} \times 100\]
\[\text { Profit } = \frac{4}{100} \times C . P\]
\[ = Rs . 0 . 04x\]
\[\text { S . P = C . P + Profit }\]
\[ = x + 0 . 04x\]
\[ = Rs . 1 . 04x\]
\[\text { For shirt 2: } \]
\[\text { Profit = 5 % : } \]
\[\text { C . P = Rs . x }\]
\[\text { Profit = } \frac{5}{100} \times C . P\]
\[ = Rs . 0 . 05x\]
\[S . P = C . P + Profit\]
\[ = x + 0 . 05x\]
\[ = \text { Rs .} 1 . 05x\]
\[\text { It is given that the difference between their profits is Rs } . 6\]
\[\text { So, }1 . 05x - 1 . 04x = 6\]
\[0 . 01x = 6\]
\[x = Rs . 600\]
\[\text { Thus, C . P = Rs } . 600\]
\[\text { S . P of shirt 1 } = Rs . 1 . 04x\]
\[ = \text { Rs }. 1 . 04 \times 600\]
\[ = Rs . 624\]
\[\text { S . P of shirt 2 = Rs } . 1 . 05x\]
\[ =\text { Rs . 1 . 05 }\times 600\]
\[ = \text { Rs } . 630 .\]
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| Cost Price (in Rs.) |
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| 700 | 799 |
Using the figures given below, frame problems based on profit percent or loss percent.
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Harbhajan Singh bought 500 kg of rice for 22000 rupees and sold it all at the rate of Rs. 48 per kg. How much profit did he make?
Meenu bought two fans for ₹ 1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of each. Also, find out the total profit or loss.
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Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of ______ % in the transaction.
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 |
