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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
\[\text { Let the C . P of both the shirts be Rs . x } . \]
\[\text { C . P = Rs . x }\]
\[\text { For shirt 1 }: \]
\[\text { Profit is 4 % } : \]
\[\text { Profit % } = \frac{\text { Profit }}{CP} \times 100\]
\[\text { Profit } = \frac{4}{100} \times C . P\]
\[ = Rs . 0 . 04x\]
\[\text { S . P = C . P + Profit }\]
\[ = x + 0 . 04x\]
\[ = Rs . 1 . 04x\]
\[\text { For shirt 2: } \]
\[\text { Profit = 5 % : } \]
\[\text { C . P = Rs . x }\]
\[\text { Profit = } \frac{5}{100} \times C . P\]
\[ = Rs . 0 . 05x\]
\[S . P = C . P + Profit\]
\[ = x + 0 . 05x\]
\[ = \text { Rs .} 1 . 05x\]
\[\text { It is given that the difference between their profits is Rs } . 6\]
\[\text { So, }1 . 05x - 1 . 04x = 6\]
\[0 . 01x = 6\]
\[x = Rs . 600\]
\[\text { Thus, C . P = Rs } . 600\]
\[\text { S . P of shirt 1 } = Rs . 1 . 04x\]
\[ = \text { Rs }. 1 . 04 \times 600\]
\[ = Rs . 624\]
\[\text { S . P of shirt 2 = Rs } . 1 . 05x\]
\[ =\text { Rs . 1 . 05 }\times 600\]
\[ = \text { Rs } . 630 .\]
संबंधित प्रश्न
Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item?
Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs 850?
Lalitabai sowed seeds worth Rs 13700 in her field. She had to spend Rs 5300 on fertilizers and spraying pesticides and Rs 7160 on labour. If, on selling her produce, she earned Rs 35400 what was her profit or her loss?
Find the unknowns x, y and z.
| Name of the item | Marked Price | Selling Price | Discount |
| LED TV | y | ₹ 11970 | 5% |
Fill up the appropriate boxes in the following table.
| SI. No | C.P. in ₹ |
M.P. in ₹ |
S.P. in ₹ |
Discount in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 110 | 130 | Nil | |||
| (ii) | 110 | 130 | 10 | |||
| (iii) | 110 | 130 | 30 | |||
| (iv) | 110 | 120 | Nil | 10 | ||
| (v) | 120 | 10 | 20 | Nil |
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John sells a bat for ₹ 75 and suffers a loss of ₹ 8. The cost price of the bat is ______.
Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of ______ % in the transaction.
