E’zoza va Barnodagi pullarning nisbati 7 : 3 edi. E’zozadagi pulning Barnodagi pulga nisbati 7 : 13 bo’lib qoldi.

Javob: \(23\,800\) so'm.

Yechim:

1. Dastlabki nisbat \(7:3\). Jami pul o'zgarmagani uchun qismlar sonini tenglashtiraman: \[ 7:3=14:6 \quad \text{(jami 20 qism)}. \] Demak, boshida E'zozada \(14\) qism, Barnoda \(6\) qism bor edi.

2. Pul berilgandan keyingi nisbat \(7:13\), ya'ni E'zozada \(7\) qism, Barnoda \(13\) qism qoldi.

3. E'zoza \(14-7=7\) qism pul bergan.

4. Oxirida Barnoda E'zozadagidan \(13-7=6\) qism ko'proq. Bu \(20\,400\) so'm: \[ 20\,400:6=3\,400 \text{ so'm} \quad \text{— 1 qism}. \]

5. E'zoza bergan pul \(7\) qism: \[ 7\cdot 3\,400=23\,800 \text{ so'm}. \]

Tekshirish: boshida \(47\,600:20\,400=7:3\); keyin \(23\,800:44\,200=7:13\), farq esa \(20\,400\) so'm. Javob to'g'ri.