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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?
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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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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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