Question

a man purchased some eggs at 3 for rupees 16 and sold them at 5 for Rs 36 . if he gain rupees 168 in all then how many egg did he purchase

Answer 1

Solution :

Let the number of eggs he purchased be x.

Given, cost price of 3 eggs = Rs 5

Cost price of x eggs = Rs $\frac{5}{3} x$

Selling price of 5 eggs = 12

Selling price of x eggs = $\frac{12}{5} x$

∴ Gain = Selling price - Cost price

           = $\frac{12}{5} x - \frac{5}{3} x$

           = Rs. $\frac{11}{15} x$

Now, $\frac{11}{15} x = 143$

⇒ x = 143 ÷ $\frac{11}{15}$

⇒ x = 143 × $\frac{15}{11}$ = $\frac{143 \times 15}{11}$ = 195

Hence, the man purchased 195 eggs.

Answer 2

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