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The C.P. of two shirts taken together is $ 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two shirts are respectively :
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- $ 360, $ 480
- $ 480, $ 360
- $ 380, $ 460
- None of these
Correct Option: A
Given in question , C.P. of two shirts = $ 840
Let the CP of shirt sold at 16% gain be Rs. y.
| ∴ y × | + (840 - y) × | = 840 | 100 | 100 |
⇒ 116y + 88 × 840 – 88y = 84000
⇒ 28y = 84000 – 88 × 840 = 840 × 12
| ⇒ y = | = Rs. 360 | 28 |
CP of second shirt = 840 – 360 = Rs. 480
Second Method to solve this question :
Let the CP of shirt sold at gain be Rs. p and that of shirt sold at loss be Rs. q.
| ∴ p × | = q × | 100 | 100 |
| ⇒ | = | q | 4 |
| ⇒ p = | × 840 = Rs. 360 | 7 |
| q = | × 840 = Rs. 480 | 7 |
