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The cost price of 2 jackets and 3 jeans is Rs 3800 and the cost price of 3 jackets and 2 jeans is Rs 3700. If a shopkeeper earns 14% profit on a jacket and 10% profit on a jeans, find the ratio of the selling prices of the jacket to that of jeans.

305 : 396

200 : 261

315 : 426

None of these

Explanation:

Let the cost price of 1 jacket = Rs x, cost price of 1 jeans = Rs y
2x + 3y = 3800....1
3x + 2y = 3700....2
(Equation 1) × 3 – (Equation 2) × 2
y = 800
x = 700
Cost price of 1 jacket = Rs 700, cost price of 1 jeans = Rs 800
Ratio of the selling price,
= 700 × 114% : 800 × 110%
= 399 : 440

By: Amit Kumar

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