Question

Divide rs. 536 among three friends in the ratio of 1/5,2/3 and 1/4.
The perfect step by step explanation will be marked as the Brainliest​

Answer 1

✽ Question ✽

Divide ₹ 536 among three friends in the ratio of 1/5 : 2/3 : 1/4.

✽ Given ✽

Ratio of parts = 1/5 : 2/3 : 1/4

✽ To find ✽

The 3 parts.

✽ Solution ✽

Let the parts are-

• 1/5x = x/5
• 2/3x = 2x/3
• 1/4x = x/4

According to condition,

x/5 + 2x/3 + x/4 = 536

→ {12x+20(2x)+15x}/60 = 536

→ (12x+40x+15x)/60 = 536

→ 67x/60 = 536

→ 67x = 536×60

→ 67x = 32160

→ x = 32160/67

→ x = 480

✽ Hence ✽

x = 480

1st part = x/5 = ₹ (480/5) = ₹ 96

2nd part = 2x/3 = ₹ (2×480)/3 = ₹ 320

3rd part = x/4 = ₹ (480/4) = ₹ 120

✽ Therefore ✽

The 3 parts are ₹ 96, ₹ 320 and ₹ 120 respectively.

✽ Verification ✽

x/5 + 2x/3 + x/4 = 536

→ 96 + 320 + 120 = 536

→ 536 = 536

So, L.H.S = R.H.S.

Hence, verified.

Hope this helps you.

Answer 2

i think it should help you